Another German State Goes Open LiDAR: Saxony

Finally some really good news out of Saxony. ūüė䬆After North Rhine-Westphalia and Thuringia released the first significant amounts of open geospatial data in Germany in a one-two punch in January 2017, we now have a third German state opening their entire tax-payer-funded geospatial data holdings to the tax-paying public via a simple and very easy-to-use online download portal. Welcome to the open data party, Saxony!!!

Currently available via the online portal are the LiDAR-derived raster Digital Terrain Model (DTM) at 1 meter resolution (DGM 1m) for everything flown since 2015 and and at 2 meter resolution (DGM 2m) or 20 meter resolution (DGM 20m) for the entire state. The horizontal coordinates use UTM zone 33 with ETRS89 (aka EPSG code 25833) and the vertical coordinate uses the “Deutsche Haupth√∂hennetz 2016” or “DHHN2016” (aka EPSG code 7837). Also available are orthophotos at 20 cm (!!!) resolution (DOP 20cm).


Overview of current LiDAR holdings. Areas flown 2015 or later have LAS files and 1 meter rasters. Others have LiDAR as ASCII files and lower resolution rasters.

Offline – by ordering through either this online form or that online form – you can also get the 5 meter DTM and the 10 meter DTM, the raw LiDAR point clouds, LiDAR intensity rasters, hill-shaded DTM rasters, as well as the 1 meter and the 2 meter Digital Surface Model (DSM) for a small administrative fee that ranges between 25 EUR and 500 EUR depending on the effort involved.

Our immediate thought is to get a copy on the entire raw LiDAR points clouds (available as LAS 1.2 files for all  data acquired since 2015 and as ASCII text for earlier acquisitions) and find some portal willing to hosts this data online. We are already in contact with the land survey of Saxony to discuss this option and/or alternate plans.

Let’s have a look at the data. First we download four 2 km by 2 km tiles of the 1 meter DTM raster for an area surrounding the so called “Greifensteine” using the interactive map of the download portal, which are provided as simple XYZ text. Here a look at the contents of one ot these tiles:

more Greifensteine\
352000 5613999 636.26
352001 5613999 636.27
352002 5613999 636.28
352003 5613999 636.27
352004 5613999 636.24

Note that the elevation are not sampled in the center of every 1 meter by 1 meter cell but exactly on the full meter coordinate pair, which seems especially common  in German-speaking countries. Using txt2las we convert these XYZ rasters to LAZ format and add geo-referencing information for more efficient subsequent processing.

txt2las -i greifensteine\333* ^
        -set_scale 1 1 0.01 ^
        -epsg 25833 ^

Below you see that going from XYZ to LAZ reduces the amount of  data from 366 MB to 10.4 MB, meaning that the data on disk becomes over 35 times smaller. The ability of LASzip to compress elevation rasters was first noted during the search for missing airliner MH370 and resulted in our new LAZ-based compressor for height grid called DEMzip.  The resulting LAZ files now also include geo-referencing information.

384,000,000 bytes

2,684,820 333525610_dgm1.laz
2,590,516 333525612_dgm1.laz
2,853,851 333545610_dgm1.laz
2,795,430 333545612_dgm1.laz
10,924,617 bytes

Using blast2dem we then create a hill-shaded version of the 1 meter DTM in order to overlay a visual representation of the DTM onto Google Earth.

blast2dem -i greifensteine\333*_dgm1.laz ^
          -merged ^
          -step 1 ^
          -hillshade ^
          -o greifensteine.png

Below the result that nicely shows how the penetrating laser of the LiDAR allows us to strip away the forest to see interesting geological features in the bare-earth terrain.

In a second exercise we use the available RGB orthophoto images to color one of the DTM tiles and explore it using lasview. For this we download the image for the top left of the four tiles that covers the area containing the “Greifensteine” from the interactive download portal¬†for orthophotos. As the resolution of the TIF image is 20 cm and that of the DTM is only 1 meter, we first down-sample the TIF using gdalwarp of¬†GDAL.

gdalwarp -tr 1 1 ^
         -r cubic ^
         greifensteine\dop20c_33352_5612.tif ^

If you are not yet using GDAL today is a good day to start. It nicely complements the point cloud processing functionality of LAStools for raster inputs. Next we use lascolor to give each elevation pixel of the DTM stored in LAZ format its corresponding color from the orthophoto.

lascolor -i greifensteine\333525612_dgm1.laz ^
         -image greifensteine\dop1m_33352_5612.tif ^
         -odix _rgb -olaz

Now we can view the colored DTM in LAZ format interactively with lasview or any other LiDAR viewing software and turn on the RGB colors from the orthophoto as needed to understand the scene.

lasview -i greifensteine\333525612_dgm1_rgb.laz

We thank the¬†“Staatsbetrieb Geobasisinformation und Vermessung Sachsen (GeoSN)” for giving us easy access to the 1 meter DTM and the 20 cm orthophoto¬†that we have used in this article through their new open geodata portal as open data under the user-friendly license “Datenlizenz Deutschland – Namensnennung – Version 2.0.

National Open LiDAR Strategy of Latvia humiliates Germany, Austria, and other European “Closed Data” States

Latvia, officially the Republic of Latvia, is a country in the Baltic region of Northern Europe has around 2 million inhabitants, a territory of 65 thousand square kilometers and Рsince recently Рalso a fabulous open LiDAR policy. Here is a list of 65939 tiles in LAS format available for free download that cover the entire country with airborne LiDAR with a density from 4 to 6 pulses per square meters. The data is classified into ground, building, vegetation, water, low noise, and a few other classifications. It is licensed Creative Commons CC0 1.0 Рmeaning that you can copy, modify, and distribute the data, even for commercial purposes, all without asking permission. And there is a simple and  functional interactive download portal where you can easily download individual tiles.


Interactive open LiDAR download portal of Latvia.

We downloaded the 5 by 5 block of¬†square kilometer¬†tiles matching “4311-32-XX.las” for checking the quality and creating a 1m DTM and a 1m DSM raster. You can follow along after downloading the latest version of LAStools.

Quality Checking

We first run lasvalidate and lasinfo on the downloaded LAS files and then immediately compress them with laszip because multi-core processing of uncompressed LAS files will quickly overwhelm our file system, make processing I/O bound, and result in overall longer processing times with CPUs waiting idly for data to be loaded from the drives.

lasinfo -i 00_tiles_raw\*.las ^
        -compute_density ^
        -histo z 5 ^
        -histo intensity 256 ^
        -histo user_data 1 ^
        -histo scan_angle 1 ^
        -histo point_source 1 ^
        -histo gps_time 10 ^
        -odir 01_quality -odix _info -otxt ^
        -cores 3
lasvalidate -i 00_tiles_raw\*.las ^
            -no_CRS_fail ^
            -o 01_quality\report.xml

Despite already excluding a missing Coordinate Reference System (CRS) from being a reason to fail (the lasinfo reports show that the downloaded LAS files do not have any geo-referencing information) lasvalidate still reports a few failing files, but scrutinizing the resulting XML file ‘report.xml’ shows only minor issues.

Usually during¬†laszip compression we do not alter the contents of a file, but here we also add the EPSG code 3059 for CRS “LKS92 / Latvia TM” as we turn bulky LAS files into slim LAZ files so we don’t have to specify it in all future processing steps.

laszip -i 00_tiles_raw\*.las ^
       -epsg 3059 ^
       -cores 2

Compression reduces the total size of the 25 tiles from over 4.1 GB to below 0.6 GB.

Next we use lasgrid to visualize the last return density which corresponds to the pulse density of the LiDAR survey. We map each 2 by 2 meter pixel where the last return density is 2 or less to blue and each 2 by 2 meter pixel it is 8 or more to red.

lasgrid -i 00_tiles_raw\*.laz ^
        -keep_last ^
        -step 2 ^
        -density_16bit ^
        -false -set_min_max 2 8 ^
        -odir 01_quality -odix _d_2_8 -opng ^
        -cores 3

This we follow by the mandatory lasoverlap check for flight line overlap and alignment where we map the number of overlapping swaths as well as the worst vertical difference between overlapping swaths to a color that allows for quick visual quality checking.

lasoverlap -i 00_tiles_raw\*.laz ^
           -step 2 ^
           -min_diff 0.1 -max_diff 0.2 ^
           -odir 01_quality -opng ^
           -cores 3

The results of the quality checks with lasgrid and lasoverlap are shown below.

Raster Derivative Generation

Now we use first las2dem to create a Digital Terrain Model (DTM) and a Digital Surface Model (DSM) in RasterLAZ format and then use blast2dem to create merged and hill-shaded versions of both. Because we will use on-the-fly buffering to avoid edge effects along tile boundaries we first spatially index the data using lasindex for more efficient access to the points from neighboring tiles.

lasindex -i 00_tiles_raw\*.laz ^
         -cores 3

las2dem -i 00_tiles_raw\*.laz ^
        -keep_class 2 9 ^
        -buffered 25 ^
        -step 1 ^
        -use_orig_bb ^
        -odir Latvia\02_dtm_1m -olaz ^
        -cores 3

blast2dem -i 02_dtm_1m\*.laz ^
          -merged ^
          -hillshade ^
          -step 1 ^
          -o dtm_1m.png

las2dem -i 00_tiles_raw\*.laz ^
        -drop_class 1 7 ^
        -buffered 10 ^
        -spike_free 1.5 ^
        -step 1 ^
        -use_orig_bb ^
        -odir 03_dsm_1m -olaz ^
        -cores 3

blast2dem -i 03_dsm_1m\*.laz ^
          -merged ^
          -hillshade ^
          -step 1 ^
          -o dsm_1m.png

Because the overlaid imagery does not look as nice in our new Google Earth installation, below are the DTM and DSM at versions down-sampled to 25% of their original size.

Many thanks to SunGIS from Latvia who tweeted us about the Open LiDAR after we chatted about it during the Foss4G 2019 gala dinner. Kudos to the Latvian Geospatial Information Agency (LGIA) for implementing a modern national geospatial policy that created opportunity for maximal return of investment by opening the expensive tax-payer funded LiDAR data for re-purposing and innovation without barriers. Kudos!

LASmoons: Gabriele Garnero

Gabriele Garnero (recipient of three LASmoons)
Interuniversity Department of Regional and Urban Studies and Planning
Politecnico e Università degli Studi, Torino

Last spring, the LARTU research group produced a laser scanner survey of the Abbey of Sant’Andrea in Vercelli, on the occasion of the VIII centenary of the dedication (1219). The database produced with a topographic tool that integrates the potential of a total station with laser scanner and photogrammetric sensors (Trimble SX 10), has been used to produce representations that can be consulted in interactive mode, navigating within the point clouds and producing a consultation platform that can also be accessed by non-specialist users such as art historians or archaeologists.


The LAStools software will be used to improve both the point cloud produced by eliminating the remaining noises, and check other ways of publishing the data, so as to make it usable from outside, to the community of researchers.

laser scanner and photogrammetric acquisitions of the interior of the building (150 millions of points)
+ laser scanner and photogrammetric acquisitions of the outside of the building (210 millions of points)
+ drone-based shooting of outdoor areas processed with Pix4D (23 millions of points)

LAStools processing:
1) tile large point cloud into tiles with buffer [lastile]
2) mark set of points whose z coordinate is a certain percentile of that of their neighbors [lasthin]
3) remove isolated low points from the set of marked points [lasnoise]
4) classify marked points into ground and non-ground [lasground]
5) creates a LiDAR portal for 3D visualization of LAS files [laspublish]

Removing Low Noise in LiDAR Points with Median Ground Surface

Recently a user of LAStools asked a question in our user forum about how to classify LiDAR data that contains lots of low noise. A sample screen shot of the user’s failed attempt to correctly classify the noise using lasnoise and the ground with lasground is shown below: red points are noise, brown points are ground, and grey points are unclassified. In this article we show how to remove this low noise using a temporary ground surface that we construct from a subset of points at a certain elevation percentile. You can follow along by downloading the data and the sequence of command lines used.

example of miss-classified low noise points: ground points (brown) below ground

Download the LiDAR data set that was apparently flown with a RIEGL “crossfire” Q1560. You can also download the command line sequence here. We first run lasinfo with option ‘-compute_density’ (or ‘-cd’ for short) to get a rough idea about the last return density which is quite high with an average of over 31 last returns per square meter. We then use lasthin to classify one last return per square meter with the temporary classification code 8, namely the one whose elevation is closest to the 20th percentile per 1 meter by 1 meter grid cell. We then repeat this command line for the 30th, 40th, 50th percentile modifying the command line accordingly. You must use this version of lasthin that will part of a future LAStools release as options ‘-ignore_first_of_many’ and ‘-ignore_intermediate’ were just added this weekend.

lasthin -i crossfire.laz ^
        -ignore_first_of_many -ignore_intermediate ^
        -step 1 ^
        -percentile 20 15 ^
        -classify_as 8 ^
        -odix _p20 -olaz

Below you see the resulting subset of points marked with the temporary classification code 8 for the four different percentiles 20th, 30th, 40th, and 50th triangulated into a surface and hill-shaded.

Next we reclassify only those points marked with the temporary classification code 8 into ground (2) and unclassified (1) points using lasground by ignoring all points that still have the original classification code 0.

lasground -i crossfire_p20.laz ^
          -ignore_class 0 ^
          -wilderness ^
          -odix g -olaz

Below you see the resulting ground points computed from the subsets of points at four different percentiles 20th, 30th, 40th, and 50th triangulated into a surface and hill-shaded.

Both the ground classification of the 40th and the 50th percentile look reasonable. Only a few down spikes remain in the 40th percentile surface and a few additional bumps appear in the 50th percentile surface. Next we use lasheight with those two reasonable-looking ground surfaces to classify all points that are 20 centimeter below the triangulated ground surface into the noise classification code 7.

lasheight -i crossfire_p40g.laz ^
          -classify_below -0.2 7 ^
          -do_not_store_in_user_data ^
          -odix h -olaz

Now that the low noise points were removed (or rather classified as noise) we start the actual ground classification process. In this example we want to create a 50 cm DTM, hence it is more than sufficient to find one ground point per 25 cm cell. Therefore we first move all lowest non-noise last return per 25 cm cell to the temporary classification code 8.

Side note: One might also consider to modify the following workflow to run the ground classification on more than just the last returns by omitting ‘-ignore_first_of_many’ and ‘-ignore_intermediate’ from the lasthin call and by adding ‘-all_returns’ to the lasground call. Why? Because for all laser shots that resulted in a low noise point, this noise point will usually be the last return, so that the true ground hit could be the second to last return.

lasthin -i crossfire_p40gh.laz ^
        -ignore_first_of_many -ignore_intermediate ^
        -ignore_class 7 ^
        -step 0.25 ^
        -lowest ^
        -classify_as 8 ^
        -odix _low25 -olaz

The final ground classification is obtained by running lasground only on the points with temporary classification code 8 by ignoring all others, namely the noise points (7) and the unclassified points (0 and 1).

lasground -i crossfire_p40gh_low25.laz ^
          -ignore_class 0 1 7 ^
          -wilderness ^
          -odix g -olaz

We then use las2dem to create the 50 cm DTM from the points classified as ground. We store this DTM raster to the LAZ format which has shown to be the most efficient format for storing elevation or height rasters. We have started calling this format RasterLAZ. It is supported by all LAStools and the new DEMzip tool. One advantage is that we can feed RasterLAZ directly back into LAStools, for example as done below, for a second call to las2dem that computes a hill-shaded DTM.

las2dem -i crossfire_p40gh_low25g.laz ^
        -keep_class 2 ^
        -step 0.5 ^
        -ocut 9 -odix _dtm50 -olaz

las2dem -i crossfire_p40_dtm50.laz ^
        -step 0.5 ^
        -hillshade ^
        -odix _hill -opng

Below the resulting hill-shaded DTMs computed for the 40th and the 50th elevation percentile – as well as for the 45th elevation percentile that we’ve added for comparison.

Below we finally take a closer look at an example 1 meter profile line through the LiDAR classified by the 45th percentile workflow. There is a small stretch of ground points that was incorrectly classified as noise points (find the mouse cursor) so it might be worthwhile to change parameters slightly to make the noise classification less aggressive.

Side note follow-up: The return coloring shows there are indeed some ‘intermediate’ as well some ‘first of many returns’ just where we expect the bare terrain to be. However, there are not so many that the results can be expected to drastically change by including them into the ground finding process.

LASmoons: Nicolas Barth

Nicolas Barth (recipient of three LASmoons)
Department of Earth & Planetary Sciences
University of California, Riverside

The 850 km-long Alpine Fault (AF)¬†is one of the world‚Äôs great laterally-slipping active faults (like California‚Äôs San Andreas Fault), which currently accommodates about 80% of the motion between the Australian and Pacific tectonic plates in the South Island of New Zealand (NZ). Well-dated sedimentary layers preserved in swamps and lakes adjacent to the AF currently provide one of the world‚Äôs most spatially and temporally complete record of large ground rupturing earthquakes (Howarth et al., 2018). Importantly these records reveal that major earthquakes occur with greater regularity on the AF than any other known fault, releasing a Magnitude (Mw) 7 to 8 earthquake on average every 249 ¬Ī 58 years and that the most recent earthquake was around Mw 8 in 1717 AD prior to European arrival. This computes to a conditional probability of 69% that the AF will rupture in the next 50 years. For a country that has recently had several notable earthquakes (e.g. 2010 Mw 7.1 Canterbury, 2016 Mw 7.8 Kaikoura) and has an economy heavily reliant on tourism, the next AF earthquake is the one NZ is trying to prepare for (note that a Mw 8 earthquake is about thirty times the energy release of a Mw 7).

The more data we can gather as scientists to constrain (1) the magnitude of the next AF earthquake, (2) the amount of lateral and vertical slip (offset roads, powerlines, etc.), (3) the coseismic effects (ground shaking, landslides, liquefaction), and (4) the duration it takes the landscape to recover (muddy rivers, increased sediment supply, prolonged landsliding), the more we can anticipate expected hazards and foster societal resilience.

Despite its name, the AF is almost completely obscured beneath a dense temperate rain-forest canopy, which has hindered fine-scale geomorphic studies. Relatively low quality airborne LiDAR (2 m-resolution bare-earth model) was first collected in 2010 for a 32 km-length of the central AF. Despite being the best studied portion of the AF, 82 % of the fault traces identified in the LiDAR were previously unmapped (Barth et al., 2012). The LiDAR reveals the width and style of ground deformation. Interpretation of the bare-earth landscape in combination with on the ground sampling, allows single earthquake displacements, uplift rates, recurrence of landslides, and post-earthquake sedimentation rates to be quantified. A new 2019 airborne LiDAR dataset collected along 230 km-length of the southern AF has great potential to improve our understanding of this relatively ‚Äúwell-behaved‚ÄĚ fault system, what to expect from its next earthquake, and to give us insight into considerably more complex fault systems like the San Andreas.

(A) Aerial view of the South Island of New Zealand highlighting the boundary between the Pacific and Australian plates (white) and the Alpine Fault in particular (red). (B) View showing the extent of the 2019 airborne LiDAR survey to be processed by this lasmoons proposal. (C) Aerial imagery over Franz Josef, site of a 2010 airborne LiDAR survey. (D) 2010 Franz Josef LiDAR DTM hillshade (GNS Science). LiDAR has revolutionized our ability to map fault offsets and other earthquake ground deformation beneath this dense temperate rainforest.

The LAStools software will be used to check the quality of the data (reclassing ground points and removing any low ground classed outliers if needed) and create a seamless digital terrain model (DTM) from the 1695 tiled LAS files provided. The DTM will be used to create derivative products including contours, slope map, aspect map, single direction B&W hillshades, multi-directional hillshades, and slope-colored hillshades to interpret the fault and landslide related landscape features hidden beneath the dense temperate rain-forest. The results will be used as seed data to seek national-level science funding to field verify interpretations and collect samples to determine ages of features (geochronology). The ultimate goal is to improve our understanding of the Alpine Fault prior to its next major earthquake and to communicate those findings effectively through publications in open access peer-reviewed journal articles and meetings with NZ regional councils.

airborne LiDAR survey collected in 2019 using a Riegl LSM-Q780 sensor by AAM New Zealand
+ provided data are as 1695 LAS files organized into 500 m x 500 m tiles and classified as ground and non-ground points (75 pts/m2 or ~0.8 ground-classed pts/m2; 320 GB total)

LAStools processing:
1) check the quality of the ALS data [lasinfo, lasoverlap, lasgrid]
2) [if needed] remove any low and high ground-classed outliers [lasnoise]
3) [if needed] reclassify ground and non-ground points [lasground]
4) create Digital Terrain Model (DTM) from ground points [blast2dem]

Howarth, J.D., Cochran, U.A., Langridge, R.M., Clark, K.J., Fitzsimons, S.J., Berryman, K.R., Villamor, P., Strong, D.T. (2018) Past large earthquakes on the Alpine Fault: paleosismological progress and future directions. New Zealand Journal of Geology and Geophysics, v. 61, 309-328, doi: 10.1080/00288306.2018.1465658
Barth, N.C., Toy, V.G., Langridge, R.M., Norris, R.J. (2012) Scale dependence of oblique plate-boundary partitioning: new insights from LiDAR, central Alpine Fault, New Zealand. Lithosphere 4(5), 435-448, doi: 10.1130/L201.1

LASmoons: Olumese Efeovbokhan

Olumese Efeovbokhan (recipient of three LASmoons)
Geosciences, School of Geography
University of Nottingham, UK

One of the vital requirements to successfully drive and justify favorable flood risk management policies is the availability of reliable data for hydrological modelling. Unfortunately, this poses a big challenge in data-sparse regions and has resulted in uncoordinated and ineffective flood risk management policies with some areas left at the mercy of the floods they are exposed to. This research is focused on the ability to successfully generate data required for hydrological modelling using affordable and easy-to-replicate methods. The research will utilize unmanned aerial vehicles (UAVs) for the generation of bare earth models (DTMs) from photogrammetry points, which will be subsequently used for flood vulnerability mapping.

Photogrammetry point cloud of Tafawa Balewa Square in Lagos Island, Nigeria

Generate a bare earth model using a combination of Agisoft Photoscan and LAStools and then validate its suitability for hydrological modelling. Should the generated model prove to be suitable we will use it to conduct flood sensitivity analysis and inundation modelling in other data-sparse regions using high resolution bare earth models generated the same way.

high-resolution photogrammetry point cloud for a portion of the study area
– – – imagery obtained with an Ebee Sensefly drone flight
РРРphotogrammetry point cloud generated with Photoscan by AgiSoft 
+ classified LiDAR point cloud with a resolution of 1 pulse per square meter obtained for the study area from the Lagos State Government

LAStools processing:
1) tile large photogrammetry point cloud into tiles with buffer [lastile]
2) mark set of points whose z coordinate is a certain percentile of that of their neighbors [lasthin]
3) remove isolated low points from the set of marked points [lasnoise]
4) classify marked points into ground and non-ground [lasground]
5) pull in points close above and below the ground [lasheight]
6) create Digital Terrain Model (DTM) from ground points [las2dem]
7) merge and hillshade individual raster DTMs [blast2dem]

How Many Decimal Digits for Storing Longitude & Latitude?

Recently I came across this tweet containing the image below and it made me laugh … albeit not in the original way the tweet intended. The tweet was joking that “Anyone is able to open a GeoJSON file” and included the Microsoft Word screen shot seen below as a response to someone else tweeting that “Handing in a project as @GeoJSON. Let’s see if I get the usual “I can’t open this file” even though […]”. What was funny to me was seeing longitude and latitude coordinates stored with 15 decimal digits right of the decimal point. There are many memes about “German efficiency” but few about “German accuracy” ūüėĀ. Clearly it is time for another blog post about storage resolution and positional accuracy. The last blog post came on the heels of the national open elevation release of England with insane vertical resolution.

Longitude and latitude coordinates are stored with 15 decimal digits right of the decimal points.

By default LAStools will use 7 decimal digits to store longitude and latitude coordinates to a LAS or LAZ file. But what do 15 decimal digits mean for longitude and latitude coordinates? How “accurate” are the corresponding coordinates when converted to projected¬† coordinates? I took the second coordinate pair [ 10.049567988755534, 53.462766759577057 ] shown in the screen shot above and converted it from longitude and latitude to the easting and northing values of the WGS 84 / UTM 32N projection that has EPSG code 32632. Before conversion we quantize these numbers to have 5 through 15 decimal digits and then record the absolute difference to the coordinate pair that uses the most digits.

Number o decimal digits for longitude and latitude coordinate and absolute difference in projected position.

The table above shows that – at least for this particular longitude and latitude coordinate pair located in Germany – that 7 digits are sufficient to store coordinates with centimeter [cm] accuracy and that 8 digits are enough to store coordinates with millimeter [mm] accuracy. Any additional digit right of the decimal point will only be necessary when we need micrometer [um] or nanometer [nm] accuracy, which is very unlikely to be the case in most geospatial applications.

This means we could remove the 7 or 8 right most digits of each number from the screenshot that was tweeted and make this GeoJSON file even smaller, faster, and easier to store, transmit, open, and read. After this post was tweeted there was a follow-up tweet suggesting to have a look at this site for a more detailed analysis of what accuracy each digit in a longitude and latitude coordinate can store.

Clean DTM from Agisoft Photogrammetric Points of Urban Scene

We occasionally get permission to distribute a nice data sets and blog about how to best process it with LAStools because this gets around having to pay our “outrageous” consulting fees. (-: This time we received a nice photogrammetric point cloud of the Tafawa Balewa Square in Lagos Island, Lagos, Nigeria. This area is part of the central business district of Lagos and characterized by high-rise buildings. The Tafawa Balewa Square was constructed in 1972 over the site of a defunct track for horse racing and is bounded by Awolowo road, Cable street, Force road, Catholic Mission street and the 26-story Independence House. We want to create a nice Digital Terrain Model from the dense-matching point cloud that was generated with Photoscan by AgiSoft and – as always with photogrammetry – we have to take special care of low noise points. The final result is shown below. All processing commands used are here.

After downloading the data it is useful to familiarize yourself with the file, which can be done with lasview, lasinfo, and lasgrid using the command lines shown below. According to the lasinfo report there are around 47 million points points with RGB colors in the file and their average density is around 100 points per square meter.

lasview -i 0_raw\TafawaBalewa.laz

lasinfo -i 0_raw\TafawaBalewa.laz ^
        -cd -histo intensity 256 ^
        -histo z 1 ^
        -odir 1_quality -odix _info -otxt

lasgrid -i 0_raw\TafawaBalewa.laz ^
        -step 1 ^
        -density ^
        -false -set_min_max 50 150 ^
        -odir 1_quality -odix _d_50_150 -opng

The average point density value of 100 from the lasinfo report suggests that 50 as the minimum and 150 as the maximum are good false color ramp values for a map showing how the point density per square meter is distributed.

Color-coded point density: blue equals 50 or less and red means 150 or more points per square meter.

We use lastile to create a buffered tiling for the 47 million points. We use a tile size of 200 meters and request a large buffer of 50 meters around every tile because there are large buildings in the survey areas. We also flag buffer points as withheld so they can be easily be dropped later.

lastile -i 0_raw\TafawaBalewa.laz ^
        -tile_size 200 -buffer 50 -flag_as_withheld ^
        -odir 2_tiles_raw -o tafawa.laz

If you inspect the resulting tiles – such as ‘tafawa_544000_712600.laz’ as shown here – with lasview you will see the kind of low noise that is shown below and that may cause a ground classification algorithm. While our lasground software is able to deal with a certain amount of low noise – if there are too many it will likely latch onto them. Therefore we will first generate a subset of points that has as few as possible of such low noise points.

Typical low noise in dense-matching photogrammetry points in urban scene.

Next we use a sequence of three LAStools modules, namely lasthin, lasground, and lasheight to classify this photogrammtric point cloud into ground and non-ground points. All processing commands used are here. First we use lasthin to give the point the classification code 8 that is closest to the 50th percentile in elevation within every 50 centimeter by 50 centimeter cell (but only if the cells containing at least 20 points).

lasthin -i 2_tiles_raw\tafawa*.laz ^
        -step 0.5 ^
        -percentile 50 20 ^
        -classify_as 8 ^
        -odir 3_tiles_median_50cm -olaz ^
        -cores 3

Next we use¬†lasground to ground-classify only the points that have classification code 8 (i.e. by ignoring those with classification codes 0) and set their classification code to ground (2) or non-ground (1). Because of the large buildings in this urban scene we use ‘-metro’ which uses a large step size of 50 meters for the pre-processing. This also sets the internally used bulge parameter to 5.0 which you can see if you run the tool in verbose ‘-v’ mode. In three different trial runs we determined that forcing the bulge parameter to be 0.5 instead gave better results. The bulge and the spike parameters can be useful to vary in order to improve ground classification results (also see the README file).

lasground -i 3_tiles_median_50cm\tafawa*.laz ^
          -ignore_class 0 ^
          -metro -bulge 0.5 ^
          -odir 4_tiles_ground_50cm -olaz ^
          -cores 3

The resulting ground points are a subset with a resolution of 50 centimeter that is good enough to create a DTM with meter resolution, which we do with las2dem command line shown below. We really like storing DTM elevation rasters to the LAZ point format because it is a more compressed way of storing elevation rasters compared to ASC, BIL, TIF, or IMG. It also makes the raster output a natural input to subsequent LAStools processing steps.

las2dem -i 4_tiles_ground_50cm\tafawa*.laz ^
        -keep_class 2 ^
        -step 1 -kill 100 ^
        -use_tile_bb ^
        -odir 5_tiles_dtm_1m -olaz ^
        -cores 3

Finally we use blast2dem to create a seamless hill-shaded version of our 1 meter DTM from on-the-fly merged elevation rasters. This is the DTM pictured at the beginning of this article.

blast2dem -i 5_tiles_dtm_1m\tafawa*.laz -merged ^
          -step 1 ^
          -hillshade ^
          -o dtm_1m.png

The corresponding DSM pictured at the beginning of this article was generated with the two command lines below by first keeping only the 95th percentile highest elevation of every 50 cm by 50 cm cell with lasthin (which remove spurious high noise points) and then by triangulating the surviving points with blast2dem into a seamless TIN that is also hill-shaded and rasterized with 1 meter resolution. Running the 64 bit version of lasthin (note the ‘-cpu64‘ switch) allows us to work on the entire data set (rather than its tiles version) at once, where the standard 32 bit version may run out of memory.

lasthin -i 0_raw\TafawaBalewa.laz ^
        -cpu64 ^
        -step 0.5 ^
        -percentile 95 20 ^
        -o 0_raw\TafawaBalewa_p95_50.laz

blast2dem -i 0_raw\TafawaBalewa_p95_50.laz ^
          -step 1 ^
          -hillshade ^
          -o dsm_1m.png

In order to generate the final DTM at higher resolution we use lasheight to pull all points into the ground class that lie within a 5 cm distance vertically below or a 15 cm distance vertically above the triangulated surface of ground points computed in the previous step. You could experiment with other values here to be less or more conservative about pulling detail into the ground class.

lasheight -i 4_tiles_ground_50cm\tafawa*.laz ^
          -classify_between -0.05 0.15 2 ^
          -odir 6_tiles_ground -olaz ^
          -cores 3

We repeat the same processing step as before las2dem to create the raster DTM tiles, but this time with a resolution of 25 cm.

las2dem -i 6_tiles_ground\tafawa*.laz ^
        -keep_class 2 ^
        -step 0.25 -kill 100 ^
        -use_tile_bb ^
        -odir 7_tiles_dtm_25cm -olaz ^
        -cores 3

And we again use blast2dem to create a seamless hill-shaded version of the DTM from on-the-fly merged elevation rasters, but this time with a resolution of 25 cm. This is the DTM shown below. All processing commands used are here.

blast2dem -i 7_tiles_dtm_25cm\tafawa*.laz -merged ^
          -step 0.25 ^
          -hillshade ^
          -o dtm_25cm.png

Hill-shade of final DTM with resolution of 25 cm.

Smooth DTM from Drone LiDAR off Velodyne HDL 32A mounted on DJI M600 UAV

Recently we attempted to do a small LiDAR survey by drone for a pet project of our CEO in our “code and surf camp” here in Samara, Costa Rica. But surveying is difficult when you are a novice and we ran into a trajectory issue. The dramatic “wobbles” were entirely our fault, but fortunately our mistakes also led to something useful: We found some LAS export bugs. Our laser scanner was a Velodyne HDL-32E integrated with a NovAtel INS into the Snoopy Series A HD made by LiDARUSA. The system was carried by a DJI Matrice 600 (M600) drone. We processed the trajectory with NovAtel Inertial Explorer (here we made the “wobbles” error) and finally exported the LAS and LAZ files with ScanLook PC (version 1.0.182) from LiDARUSA.

While we were investigating our “wobbles” (which clearly were our mistake) we also found five different LAS export bugs in ScanLook PC that seem to have started sometime after version 1.0.171 and will likely end with version 1.0.193. Below an illustration of a correct export from version 1.0.129 and a buggy export from version 1.0.182. In both instances you see the returns from one revolution of the Velodyne HDL-32E scanner head ordered by their GPS time stamps and colored to distinguish the 32 separate beams. In the buggy version, groups of around seven non-adjacent returns are given the same time stamp. This bug will only affect you, if correct GPS time stamps are important for your subsequent LiDAR processing or if your client explicitly asked for ASPRS specification compliant LAS files. We plan to publish another blog post detailing how to find this GPS time stamping bug (and the other four bugs we found).

During the many interactions we had working through “wobbles” and export bugs, we obtained a nice set of six flight lines from Seth Gulich of Bowman Consulting – a US American company based in Stuart, Florida – who flew an identical “Snoopy Series A HD” system also on a DJI Matrice 600 drone at approximately 100 feet above ground level above a model airplane airport in Palm Beach, Florida. You can download the data set here. In the following we will check the flight line alignment of this data set and then process it into a smooth DTM. All command lines used are summarized in this text file.

First we generate a lasinfo report that includes a number of histograms for on-the-fly merged flight lines with lasinfo and then use the z coordinate histogram from the lasinfo report to set reasonable min/max values for the elevation color ramp of lasview:

lasinfo -i 0_strips_raw\Velodyne*.laz -merged ^
        -cd ^
        -histo z 1 ^
        -histo user_data 1 ^
        -histo point_source 1 ^
        -o 1_quality\Velodyne_merged_info.txt

lasview -i 0_strips_raw\Velodyne*.laz ^
        -points 10000000 ^
        -set_min_max 25 75

The lasinfo report shows no information about the coordinate reference system. We found out experimentally that the horizontal coordinates seem to be EPSG code 2236 and that the vertical units are most likely be US survey feet. The warnings you will see in the lasinfo report have to do with the fact that the double-precision bounding box stored in the LAS header was populated with numbers that have many more decimal digits than the coordinates in the file, which only have millifeet resolution as all three scale factors are 0.001 (meaning coordinates have three decimal digits). The information which of the 32 lasers was collecting which point is stored in both the ‘user data’ and the ‘point source ID’ field which is evident from the histograms in the lasinfo report. We need to be careful not to override both fields in later processing.

Next we use lasoverlap to check how well the LiDAR points from the flight out and the flight back align vertically. This tool computes the difference of the lowest points for each square foot covered by multiple flight lines. Differences of less than a quarter of a foot are both times mapped to white, differences of more than one foot (more than half a foot) are mapped to saturated red or blue depending on whether the difference is positive or negative in the first run (in the second run):

lasoverlap -i 0_strips_raw\Velodyne*.laz ^
           -faf ^
           -min_diff 0.25 -max_diff 1.00 -step 1 ^
           -odir 1_quality -o overlap_025_100.png

lasoverlap -i 0_strips_raw\Velodyne*.laz ^
           -faf ^
           -min_diff 0.25 -max_diff 0.50 -step 1 ^
           -odir 1_quality -o overlap_025_050.png

We use a new feature of the LAStools GUI (as of version 180429) to closer inspect large red or blue areas. With lasmerge we clip out regions that looks suspect for closer examination with lasview. First we spatially index the flight lines to make this process faster. With the ‘-gui’ switch we start the tool in GUI mode with flight lines already loaded. Using the new PNG overlay roll-out on the left we add the ‘overlap_025_050_diff.png’ image from the quality folder created in the last step and clip out three areas.

lasindex -i 0_strips_raw\Velodyne*.laz
         -tile_size 10 -maximum -100 ^
         -cores 3

lasmerge -i 0_strips_raw\Velodyne*.laz -gui

You can also clip out these three areas using the command lines below:

lasmerge -i 0_strips_raw\Velodyne*.laz ^
         -faf ^
         -inside_tile 939500 889860 100 ^
         -o 1_quality\939500_889860.laz

lasmerge -i 0_strips_raw\Velodyne*.laz ^
         -faf ^
         -inside_tile 940400 889620 100 ^
         -o 1_quality\940400_889620.laz

lasmerge -i 0_strips_raw\Velodyne*.laz ^
         -faf ^
         -inside_tile 940500 890180 100 ^
         -o 1_quality\940500_890180.laz

The reader may inspect the areas 939500_889860.laz, 940400_889620.laz, and 940500_890180.laz with lasview using profile views via hot keys ‘x’ and switching back and forth between the points from different flight lines via hot keys ‘0’, ‘1’, ‘2’, ‘3’, … for individual and ‘a’ for all flight lines as we have done it in previous tutorials [1,2,3]. Using drop-lines or rise-lines via the pop-up menu gives you a sense of scale. Removing points with lastrack that are horizontally too far from the trajectory could be one strategy to use fewer outliers. But as our surfaces are expected to be “fluffy” (because we have a Velodyne LiDAR system), we accept these flight line differences and continue processing.

Here the complete LAStools processing pipeline for creating an average ground model from the set of six flight lines that results in the hillshaded DTM shown below. The workflow is similar to those we have developed in earlier blog posts for Velodyne Puck based systems like the Hovermap and the Yellowscan and in the other Snoopy tutorial. All command lines used are summarized in this text file.

Hillshaded DTM with half foot resolution generated via average ground computation with LAStools.

In the first step we lastile the six flight lines into 250 by 250 feet tiles with 25 feet buffer while preserving flight line information. The flight line information will be stored in the “point source ID” field of each point and therefore override the beam ID that is currently stored there. But the beam ID is also stored in the “user data” field as the¬† lasinfo report had told us. We set all classifications to zero and add information about the horizontal coordinate reference system EPSG code 2236 and the vertical units (US Survey Feet).

lastile -i 0_strips_raw\*.laz ^
        -faf ^
        -set_classification 0 ^
        -epsg 2236 -elevation_survey_feet ^
        -tile_size 250 -buffer 25 -flag_as_withheld ^
        -odir 2_tiles_raw -o pb.laz

On three cores in parallel we then lassort the points in the tiles into a space-filling curve order which will accelerate later operations.

lassort -i 2_tiles_raw\*.laz ^
        -odir 2_tiles_sorted -olaz ^
        -cores 3

Next we use lasthin to classify the point whose elevation is closest to the 5th elevation percentile among all points falling into its cell with classification code 8. We run lasthin multiple times and each time increase the cell size from 1, 2, 4, 8 to 16 foot. We do this because we have requested the 5th elevation percentile to only be computed when there are at least 20 points in the cell. Percentiles are statistical measures and need a reasonable sample size to be stable. Because drone flights are very dense in the center and more sparse at the edges this increase in cell size assures that we have a good selection of points classified with classification code 8 across the entire survey area.

lasthin -i 2_tiles_sorted\*.laz ^
        -step 1 -percentile 5 20 -classify_as 8 ^
        -odir 3_tiles_thinned_p05_step01 -olaz ^
        -cores 3

lasthin -i 3_tiles_thinned_p05_step01\*.laz ^
        -step 2 -percentile 5 20 -classify_as 8 ^
        -odir 3_tiles_thinned_p05_step02 -olaz ^
        -cores 3

lasthin -i 3_tiles_thinned_p05_step02\*.laz ^
        -step 4 -percentile 5 20 -classify_as 8 ^
        -odir 3_tiles_thinned_p05_step04 -olaz ^
        -cores 3

lasthin -i 3_tiles_thinned_p05_step04\*.laz ^
        -step 8 -percentile 5 20 -classify_as 8 ^
        -odir 3_tiles_thinned_p05_step08 -olaz ^
        -cores 3

lasthin -i 3_tiles_thinned_p05_step08\*.laz ^
        -step 16 -percentile 5 20 -classify_as 8 ^
        -odir 3_tiles_thinned_p05_step16 -olaz ^
        -cores 3

Then we let lasground_new run on only the points classified with classification code 8 (i.e. by ignoring the points still classified with code 0) which classifies them into ground (code 2) and non-ground (code 1).

lasground_new -i 3_tiles_thinned_p05_step16\*.laz ^
              -ignore_class 0 ^
              -town ^
              -odir 4_tiles_ground_low -olaz ^
              -cores 3

The ground points we have computed form somewhat of a lower envelope of the “fluffy” points of a Velodyne scanner. With lasheight we now draw all the points near the ground – namely those from 0.1 foot below to 0.4 foot above the ground – into a new classification code 6 that we term “thick ground”. The ‘-do_not_store_in_user_data’ switch prevent the default behavior of lasheight from happening, which would override the beam ID information that it stored in the ‘user data’ field with approximate height value.

lasheight -i 4_tiles_ground_low\*.laz ^
          -classify_between -0.1 0.4 6 ^
          -do_not_store_in_user_data ^
          -odir 4_tiles_ground_thick -olaz ^
          -cores 3

A few close-up shots of the resulting “thick ground” are shown in the picture gallery below.

We then use lasgrid to average the (orange) thick ground points onto a regular grid with a cell spacing of half a foot. We do not grid the tile buffers by adding the ‘-use_tile_bb’ switch.

lasgrid -i 4_tiles_ground_thick\*.laz ^
        -keep_class 6 ^
        -step 0.5 -average ^
        -use_tile_bb ^
        -odir 5_tiles_gridded_mean_ground -olaz ^
        -cores 3

Finally we use blast2dem to merge all the averaged ground point grids into one file, interpolate across open areas without ground points, and compute the hillshaded DTM shown above. All command lines used are summarized in this text file.

blast2dem -i 5_tiles_gridded_mean_ground\*.laz ^
          -merged ^
          -step 0.5 ^
          -hillshade ^
          -o dtm.png

We thank Seth Gulich of Bowman Consulting for sharing this LiDAR data set with us. It was flown with a DJI Matrice 600 drone carrying a “Snoopy A series HD” LiDAR system from LidarUSA.

Using Open LiDAR to Remove Low Noise from Photogrammetric UAV Point Clouds

We collected drone imagery of the¬†restored “Kance” tavern¬†during the lunch stop of the UAV Tartu summer school field trip (actually the organizer Marko Kohv¬†did that, as I was busy introducing students to SUP boarding). With Agisoft PhotoScan we then processed the images into point clouds below the deck of the historical “J√Ķmmu”¬†barge on the way home (actually Marko did that, because I was busy enjoying the view of the wetlands in the afternoon sun). The resulting data set with 7,855,699 points is shown below and can be downloaded here.

7,855,699 points produced with Agisoft Photoscan

Generating points using photogrammetric techniques in scenes containing water bodies tends to be problematic as dense blotches of noise points above and below the water surface are common as you can see in the picture below. Especially the low points are troublesome as they adversely affect ground classification which results in poor Digital Elevation Models (DTMs).

Clusters of low noise points nearly 2 meters below the actual surface in water areas.

In a previous article we have described a LAStools workflow that can remove excessive low noise. In this article here we use external information about the topography of the area to clean our photogrammetry points. How convenient that the Estonian Land Board has just released their entire LiDAR archives as open data.

Following these instructions here you can download the available open LiDAR for this area, which has the map sheet index 475681. Alternatively you can download the four currently available data sets here flown in spring 2010, in summer 2013, in spring 2014, and in summer 2017. In the following we will use the one flown in spring 2014.

We can view both data sets simultaneously in lasview. By adding ‘-faf’ to the command-line we can switch back and forth between the two data sets by pressing ‘0’ and ‘1’.

lasview -i Kantsi.laz ^
        -i 475681_2014_tava.laz ^
        -points 10000000 ^

We find cut the 1 km by 1 km LiDAR tile down to a 250 m by 250 m tile that nicely surrounds our photogrammetric point set using the following las2las command-line:

las2las -i 475681_2014_tava.laz ^
        -inside_tile 681485 6475375 250 ^
        -o LiDAR_Kantsi.laz

lasview -i Kantsi.laz ^
        -i LiDAR_Kantsi.laz ^
        -points 10000000 ^

Scrutinizing the two data sets we quickly find that there is a miss-alignment between the dense imagery-derived and the comparatively sparse LiDAR point clouds. With lasview we investigate the difference between the two point clouds by hovering over a point from one point cloud and pressing <i> and then hovering over a somewhat corresponding point from the other point cloud and pressing <SHIFT>+<i>. We measure displacements of around 2 meters vertically and of around 3 to 3.5 meter in total.

Before we can use the LiDAR points to remove the low noise from the photogrammetric points we must align them properly. For simple translation errors this can be done with a new feature that was recently added to lasview. Make sure to download the latest version (190404 or newer) of LAStools to follow the steps shown in the image sequence below.

las2las -i Kantsi.laz ^
        -translate_xyz 0.89 -1.90 2.51 ^
        -o Kantsi_shifted.laz

lasview -i Kantsi_shifted.laz ^
        -i LiDAR_Kantsi.laz ^
        -points 10000000 ^

The result looks good in the sense that both sides of the photogrammetric roof are reasonably well aligned with the LiDAR. But there is still a shift along the roof so we repeat the same thing once more as shown in the next image sequence:

We use a suitable displacement vector and apply it to the photogrammetry points, shifting them again:

las2las -i Kantsi_shifted.laz ^
        -translate_xyz -1.98 -0.95 0.01 ^
        -o Kantsi_shifted_again.laz

lasview -i Kantsi_shifted_again.laz ^
        -i LiDAR_Kantsi.laz ^
        -points 10000000 ^

The result is still not perfect as there is also some rotational error and you may find another software such as Cloud Compare more suited to align the two point clouds, but for this exercise the alignment shall suffice. Below you see the match between the photogrammetry points and the LiDAR TIN before and after shifting the photogrammetry points with the two (interactively determined) displacement vectors.

The final steps of this exercise use las2dem and the already ground-classified LiDAR compute a 1 meter DTM, which we then use as input to lasheight. We classify the photogrammetry points using their height above this set of ground points with 1 meter spacing: points that are 40 centimeter or more below the LiDAR DTM are classified as noise (7), points that are between 40 below to 1 meter above the LiDAR DTM are classified to a temporary class (here we choose 8) that has those points that could potentially be ground points. This will help, for example, with subsequent ground classification as large parts of the photogrammetry points – namely those on top of buildings and in higher vegetation – can be ignored from the start by a ground classification algorithm such as lasground.

las2dem -i LiDAR_Kantsi.laz ^
        -keep_class 2 ^
        -kill 1000 ^
        -o LiDAR_Kantsi_dtm_1m.bil
lasheight -i Kantsi_shifted_again.laz ^
          -ground_points LiDAR_Kantsi_dtm_1m.bil ^
          -classify_below -0.4 7 ^
          -classify_between -0.4 1.0 8 ^
          -o Kantsi_cleaned.laz

Below the results we have achieved after “roughly” aligning the two point clouds with some new lasview tricks and then using the LiDAR elevations to classify the photogrammetry points into “low noise”, “potential ground”, and “all else”.

We thank the Estonian Land Board for providing¬†open data with a permissive¬†license. Special thanks also go to the organizers of the UAV Summer School in Tartu, Estonia and the European Regional Development Fund for funding this event. Especially fun was the fabulous excursion to the Emaj√Ķe-Suursoo Nature Reserve and through to Lake Peipus aboard, overboard and aboveboard the historical barge “J√Ķmmu”. If you look carefully you can also find the barge in the photogrammetry point cloud. The photogrammetry data used here was acquired during our lunch stop.

Fun aboard and overboard the historical barge “J√Ķmmu”.