Digital elevation model

{{Short description|3D computer-generated imagery and measurements of terrain}}

File:Mtm-05277e 3d.png of a DTM of Tithonium Chasma on Mars]]

A digital elevation model (DEM) or digital surface model (DSM) is a 3D computer graphics representation of elevation data to represent terrain or overlaying objects, commonly of a planet, moon, or asteroid. A "global DEM" refers to a discrete global grid. DEMs are used often in geographic information systems (GIS), and are the most common basis for digitally produced relief maps.

A digital terrain model (DTM) represents specifically the ground surface while DEM and DSM may represent tree top canopy or building roofs.

While a DSM may be useful for landscape modeling, city modeling and visualization applications, a DTM is often required for flood or drainage modeling, land-use studies,[http://www.racurs.ru/www_download/articles/Balenovic.pdf I. Balenovic, H. Marjanovic, D. Vuletic, etc. Quality assessment of high density digital surface model over different land cover classes. PERIODICUM BIOLOGORUM. VOL. 117, No 4, 459–470, 2015.] geological applications, and other applications,{{cite book |chapter=Appendix A – Glossary and Acronyms |title=Severn Tidal Tributaries Catchment Flood Management Plan – Scoping Stage |chapter-url=http://www.environment-agency.gov.uk/commondata/acrobat/app_a_1243533.pdf |publisher=Environment Agency |location=UK |url-status=dead |archive-url=https://web.archive.org/web/20070710054700/http://www.environment-agency.gov.uk/commondata/acrobat/app_a_1243533.pdf |archive-date=2007-07-10 }} and in planetary science.

Terminology

File:DTM DSM.svg

There is no universal usage of the terms digital elevation model (DEM), digital terrain model (DTM) and digital surface model (DSM) in scientific literature. In most cases the term digital surface model represents the earth's surface and includes all objects on it. In contrast to a DSM, the digital terrain model (DTM) represents the bare ground surface without any objects like plants and buildings (see the figure on the right).{{cite web|title=Intermap Digital Surface Model: accurate, seamless, wide-area surface models |url=http://www.intermap.com/en-us/nextmap/digitalsurfacemodel.aspx |url-status=dead |archive-url=https://web.archive.org/web/20110928170504/http://www.intermap.com/en-us/nextmap/digitalsurfacemodel.aspx |archive-date=2011-09-28 }}Li, Z., Zhu, Q. and Gold, C. (2005), Digital terrain modeling: principles and methodology, CRC Press, Boca Raton, FL.

DEM is often used as a generic term for DSMs and DTMs,{{cite book|last1=Hirt|first1=C.|title=Encyclopedia of Geodesy |chapter=Digital Terrain Models |pages=1–6|isbn= 978-3-319-01868-3|chapter-url= https://mediatum.ub.tum.de/doc/1375750/54500.pdf|access-date=October 14, 2024|doi=10.1007/978-3-319-02370-0_31-1|year=2014}} only representing height information without any further definition about the surface.Peckham, Robert Joseph; Jordan, Gyozo (Eds.)(2007): Development and Applications in a Policy Support Environment Series: Lecture Notes in Geoinformation and Cartography. Heidelberg.

Other definitions equalise the terms DEM and DTM,{{cite journal |last=Podobnikar |first=Tomaz |year=2008 |title=Methods for visual quality assessment of a digital terrain model |journal=S.A.P.I.EN.S |volume=1 |issue=2 |url=http://sapiens.revues.org/index738.html }} equalise the terms DEM and DSM,Adrian W. Graham, Nicholas C. Kirkman, Peter M. Paul (2007): [https://books.google.com/books?id=j5ePLBWYAOgC Mobile radio network design in the VHF and UHF bands: a practical approach]. West Sussex.

define the DEM as a subset of the DTM, which also represents other morphological elements,{{cite web|url=http://www.din.de/cmd?level=tpl-home&languageid=en|title=DIN Standard 18709-1|url-status=dead|archive-url=https://web.archive.org/web/20110111174038/http://www.din.de/cmd?level=tpl-home&languageid=en|archive-date=2011-01-11}} or define a DEM as a rectangular grid and a DTM as a three-dimensional model (TIN).{{cite web|url=http://landslides.usgs.gov/learning/glossary.php#d |title=Landslide Glossary USGS |url-status=dead |archive-url=https://web.archive.org/web/20110516134523/http://landslides.usgs.gov/learning/glossary.php |archive-date=2011-05-16 }}

Most of the data providers (USGS, ERSDAC, CGIAR, Spot Image) use the term DEM as a generic term for DSMs and DTMs. Some datasets such as SRTM or the ASTER GDEM are originally DSMs, although in forested areas, SRTM reaches into the tree canopy giving readings somewhere between a DSM and a DTM). DTMs are created from high resolution DSM datasets using complex algorithms to filter out buildings and other objects, a process known as "bare-earth extraction".Li, Z., Zhu, Q. and Gold, C. (2005), Digital terrain modeling: principles and methodology, CRC Press, Boca Raton, FL.{{cite web |title=Understanding Digital Surface Models, Digital Terrain Models and Digital Elevation Models: A Comprehensive Guide to Digital Models of the Earth's Surface |url=https://flyguys.com/understanding-dsm-dtm-dem/ |website=FlyGuys |access-date=7 September 2023}}

In the following, the term DEM is used as a generic term for DSMs and DTMs.

Types

Image:srtm ramp2.world.21600x10800.jpg with elevations indicated as normalized 8-bit grayscale, where lighter values indicate higher elevation]]

A DEM can be represented as a raster (a grid of squares, also known as a heightmap when representing elevation) or as a vector-based triangular irregular network (TIN).{{cite book |last1=DeMers |first1=Michael |title=GIS Modeling in Raster |date=2002 |publisher=Wiley |isbn=978-0-471-31965-8}} The TIN DEM dataset is also referred to as a primary (measured) DEM, whereas the Raster DEM is referred to as a secondary (computed) DEM.RONALD TOPPE (1987): [http://hydrologie.org/redbooks/a162/iahs_162_0629.pdf Terrain models — A tool for natural hazard Mapping] {{Webarchive|url=https://web.archive.org/web/20200729221913/http://hydrologie.org/redbooks/a162/iahs_162_0629.pdf |date=2020-07-29 }}. In: Avalanche Formation, Movement and Effects (Proceedings of the Davos Symposium, September 1986). IAHS Publ. no. 162,1987 The DEM could be acquired through techniques such as photogrammetry, lidar, IfSAR or InSAR, land surveying, etc. (Li et al. 2005).

DEMs are commonly built using data collected using remote sensing techniques, but they may also be built from land surveying.

=Rendering=

File:Maps-for-free Sierra Nevada.png

The digital elevation model itself consists of a matrix of numbers, but the data from a DEM is often rendered in visual form to make it understandable to humans. This visualization may be in the form of a contoured topographic map, or could use shading and false color assignment (or "pseudo-color") to render elevations as colors (for example, using green for the lowest elevations, shading to red, with white for the highest elevation.).

Visualizations are sometimes also done as oblique views, reconstructing a synthetic visual image of the terrain as it would appear looking down at an angle. In these oblique visualizations, elevations are sometimes scaled using "vertical exaggeration" in order to make subtle elevation differences more noticeable.[http://shadedrelief.com/3D_Terrain_Maps/3dterrainmapsver.html Making 3D Terrain Maps], Shaded Relief. Retrieved 11 March 2019. Some scientists,David Morrison, "[https://doi.org/10.1029/91EO00076 "Flat-Venus Society" organizes]", EOS, Volume 73, Issue 9, American Geophysical Union, 3 March 1992, p. 99. https://doi.org/10.1029/91EO00076. Retrieved 11 March 2019.

Robert Simmon. "[https://earthobservatory.nasa.gov/blogs/elegantfigures/2010/11/05/what-not-to-do-vertical-exaggeration/ Elegant Figures What Not To Do: Vertical Exaggeration]," NASA Earth Observatory, November 5, 2010. Retrieved 11 March 2019. however, object to vertical exaggeration as misleading the viewer about the true landscape.

Production

Mappers may prepare digital elevation models in a number of ways, but they frequently use remote sensing rather than direct survey data.

Older methods of generating DEMs often involve interpolating digital contour maps that may have been produced by direct survey of the land surface. This method is still used in mountain areas, where interferometry is not always satisfactory. Note that contour line data or any other sampled elevation datasets (by GPS or ground survey) are not DEMs, but may be considered digital terrain models. A DEM implies that elevation is available continuously at each location in the study area.

=Satellite mapping=

One powerful technique for generating digital elevation models is interferometric synthetic aperture radar where two passes of a radar satellite (such as RADARSAT-1 or TerraSAR-X or Cosmo SkyMed), or a single pass if the satellite is equipped with two antennas (like the SRTM instrumentation), collect sufficient data to generate a digital elevation map tens of kilometers on a side with a resolution of around ten meters.{{cite web|url=http://www.intelligence-airbusds.com/worlddem/|title=WorldDEM(TM): Airbus Defence and Space|website=www.intelligence-airbusds.com|access-date=2018-01-05|archive-date=2018-06-04|archive-url=https://web.archive.org/web/20180604103046/http://www.intelligence-airbusds.com/worlddem/|url-status=dead}} Other kinds of stereoscopic pairs can be employed using the digital image correlation method, where two optical images are acquired with different angles taken from the same pass of an airplane or an Earth Observation Satellite (such as the HRS instrument of SPOT5 or the VNIR band of ASTER).{{cite journal|last1=Nikolakopoulos |first1=K. G. |last2=Kamaratakis |first2=E. K |last3=Chrysoulakis |first3=N. |date=10 November 2006 |title=SRTM vs ASTER elevation products. Comparison for two regions in Crete, Greece |journal=International Journal of Remote Sensing |volume=27 |issue=21 |pages=4819–4838 |issn=0143-1161 |url=http://www.iacm.forth.gr/_docs/pubs/4/Nikolakopoulos_et_al_2006.pdf |access-date=June 22, 2010 |doi=10.1080/01431160600835853 |bibcode=2006IJRS...27.4819N |s2cid=1939968 |url-status=dead |archive-url=https://web.archive.org/web/20110721081314/http://www.iacm.forth.gr/_docs/pubs/4/Nikolakopoulos_et_al_2006.pdf |archive-date=July 21, 2011 }}

The SPOT 1 satellite (1986) provided the first usable elevation data for a sizeable portion of the planet's landmass, using two-pass stereoscopic correlation. Later, further data were provided by the European Remote-Sensing Satellite (ERS, 1991) using the same method, the Shuttle Radar Topography Mission (SRTM, 2000) using single-pass SAR and the Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER, 2000) instrumentation on the Terra satellite using double-pass stereo pairs.

The HRS instrument on SPOT 5 has acquired over 100 million square kilometers of stereo pairs.

=Planetary mapping=

image:PIA02040 Martian hemispheres by MOLA.jpg

A tool of increasing value in planetary science has been use of orbital altimetry used to make digital elevation map of planets. A primary tool for this is laser altimetry but radar altimetry is also used.{{Citation|last1=Hargitai|first1=Henrik|title=Methods in Planetary Topographic Mapping: A Review|date=2019|work=Planetary Cartography and GIS|pages=147–174|editor-last=Hargitai|editor-first=Henrik|publisher=Springer International Publishing|language=en|doi=10.1007/978-3-319-62849-3_6|isbn=978-3-319-62848-6|last2=Willner|first2=Konrad|last3=Buchroithner|first3=Manfred|series=Lecture Notes in Geoinformation and Cartography |s2cid=133855780}} Planetary digital elevation maps made using laser altimetry include the Mars Orbiter Laser Altimeter (MOLA) mapping of Mars,Bruce Banerdt, [https://mars.nasa.gov/MPF/martianchronicle/martianchron3/marschro35.html Orbital Laser Altimeter], The Martian Chronicle, Volume 1, No. 3, NASA. Retrieved 11 March 2019. the Lunar Orbital Laser Altimeter (LOLA)NASA, [https://lola.gsfc.nasa.gov LOLA]. Retrieved 11 March 2019. and Lunar Altimeter (LALT) mapping of the Moon, and the Mercury Laser Altimeter (MLA) mapping of Mercury.John F. Cavanaugh, et al., "[http://www-geodyn.mit.edu/cavanaugh.mla.ssr07.pdf The Mercury Laser Altimeter Instrument for the MESSENGER Mission]", Space Sci Rev, DOI 10.1007/s11214-007-9273-4, 24 August 2007. Retrieved 11 March 2019. In planetary mapping, each planetary body has a unique reference surface.{{Citation|last1=Hargitai|first1=Henrik|title=Fundamental Frameworks in Planetary Mapping: A Review|date=2019|work=Planetary Cartography and GIS|pages=75–101|editor-last=Hargitai|editor-first=Henrik|publisher=Springer International Publishing|language=en|doi=10.1007/978-3-319-62849-3_4|isbn=978-3-319-62848-6|last2=Willner|first2=Konrad|last3=Hare|first3=Trent|series=Lecture Notes in Geoinformation and Cartography |s2cid=133867607}} New Horizons' Long Range Reconnaissance Imager used stereo photogrammetry to produce partial surface elevation maps of Pluto and 486958 Arrokoth.{{cite web |title=Astropedia - Pluto New Horizons LORRI - MVIC Global DEM 300m |url=https://astrogeology.usgs.gov/search/map/pluto_new_horizons_lorri_mvic_global_dem_300m |website=astrogeology.usgs.gov}}{{cite journal |last1=Schenk |first1=Paul |last2=Singer |first2=Kelsi |last3=Beyer |first3=Ross |last4=Beddingfield |first4=Chloe |last5=Robbins |first5=Stuart J. |last6=McKinnon |first6=William B. |last7=Lauer |first7=Tod R. |last8=Verbiscer |first8=Anne J. |last9=Keane |first9=James. T. |last10=Dhingra |first10=Rajani D. |last11=Moore |first11=Jeffrey |last12=Parker |first12=Joel W. |last13=Olkin |first13=Cathy |last14=Spencer |first14=John |last15=Weaver |first15=Hal |last16=Stern |first16=S. Alan |title=Origins of pits and troughs and degradation on a small primitive planetesimal in the Kuiper Belt: high-resolution topography of (486958) Arrokoth (aka 2014 MU69) from New Horizons |journal=Icarus |date=1 March 2021 |volume=356 |pages=113834 |doi=10.1016/j.icarus.2020.113834 |issn=0019-1035}}

=Methods for obtaining elevation data used to create DEMs=

File:GatewingX100.jpg]]

=Accuracy=

The quality of a DEM is a measure of how accurate elevation is at each pixel (absolute accuracy) and how accurately is the morphology presented (relative accuracy). Quality assessment of DEM can be performed by comparison of DEMs from different sources.{{cite journal |last1=Szypuła |first1=Bartłomiej |title=Quality assessment of DEM derived from topographic maps for geomorphometric purposes |journal=Open Geosciences |date=1 January 2019 |volume=11 |issue=1 |pages=843–865 |doi=10.1515/geo-2019-0066 |bibcode=2019OGeo...11...66S |url=https://doi.org/10.1515/geo-2019-0066 |language=en |issn=2391-5447|hdl=20.500.12128/11742 |s2cid=208868204 |hdl-access=free }} Several factors play an important role for quality of DEM-derived products:

  • terrain roughness;
  • sampling density (elevation data collection method);
  • grid resolution or pixel size;
  • interpolation algorithm;
  • vertical resolution;
  • terrain analysis algorithm;
  • Reference 3D products include quality masks that give information on the coastline, lake, snow, clouds, correlation etc.

Uses

File:Digital Elevation Model - Red Rocks Amphitheater, Colorado.jpg

File:Bezmiechowa DSM 3D 2010-05-29 Pteryx UAV.jpg flying 200 m above hilltop]]

File:DSM construction site.jpg interchange construction site. Note that tunnels are closed.]]

File:DEM Assenede1.PNG

Image:geabios3d.jpg

Common uses of DEMs include:

Sources

= Global =

Released at the beginning of 2022, [https://www.fathom.global/academic-papers/a-30-m-global-map-of-elevation-with-forests-and-buildings-removed/ FABDEM] offers a bare earth simulation of the Earth's surface at 30 arc-second resolution. Adapted from GLO-30, the data removes all forests and buildings. The data is free to download non-commercially and through the [https://www.fathom.global/product/fabdem/ developer's website] at a cost commercially.

An alternative free global DEM is called GTOPO30 (30 arcsecond resolution, c. 1 km along the equator) is available, but its quality is variable and in some areas it is very poor. A much higher quality DEM from the Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) instrument of the Terra satellite is also freely available for 99% of the globe, and represents elevation at 30 meter resolution. A similarly high resolution was previously only available for the United States territory under the Shuttle Radar Topography Mission (SRTM) data, while most of the rest of the planet was only covered in a 3 arc-second resolution (around 90 meters along the equator). SRTM does not cover the polar regions and has mountain and desert no data (void) areas. SRTM data, being derived from radar, represents the elevation of the first-reflected surface—quite often tree tops. So, the data are not necessarily representative of the ground surface, but the top of whatever is first encountered by the radar.

Submarine elevation (known as bathymetry) data is generated using ship-mounted depth soundings. When land topography and bathymetry is combined, a truly global relief model is obtained. The SRTM30Plus dataset (used in NASA World Wind) attempts to combine GTOPO30, SRTM and bathymetric data to produce a truly global elevation model.{{cite web|url=http://www.terrainmap.com/downloads/Gamache_final_web.pdf|title=Martin Gamache's paper on free sources of global data}} The Earth2014 global topography and relief model{{cite journal|last1=Hirt|first1=C.|last2=Rexer|first2=M.|title=Earth2014: 1 arc-min shape, topography, bedrock and ice-sheet models - available as gridded data and degree-10,800 spherical harmonics|journal=International Journal of Applied Earth Observation and Geoinformation|volume=39|pages=103–112|url=http://ddfe.curtin.edu.au/models/Earth2014/Hirt_Rexer2015_Earth2014.pdf|access-date=February 20, 2016|doi=10.1016/j.jag.2015.03.001|year=2015|bibcode=2015IJAEO..39..103H|hdl=20.500.11937/25468|hdl-access=free}} provides layered topography grids at 1 arc-minute resolution. Other than SRTM30plus, Earth2014 provides information on ice-sheet heights and bedrock (that is, topography below the ice) over Antarctica and Greenland. Another global model is Global Multi-resolution Terrain Elevation Data 2010 (GMTED2010) with 7.5 arc second resolution. It is based on SRTM data and combines other data outside SRTM coverage. A novel global DEM of postings lower than 12 m and a height accuracy of less than 2 m is expected from the TanDEM-X satellite mission which started in July 2010.

The most common grid (raster) spacing is between 50 and 500 meters. In gravimetry e.g., the primary grid may be 50 m, but is switched to 100 or 500 meters in distances of about 5 or 10 kilometers.

Since 2002, the HRS instrument on SPOT 5 has acquired over 100 million square kilometers of stereo pairs used to produce a DTED2 format DEM (with a 30-meter posting) DEM format DTED2 over 50 million km2.{{cite web|url=http://www.astrium-geo.com/en/66-geo-elevation-and-dem|title=GEO Elevation Services : Airbus Defence and Space|website=www.astrium-geo.com|access-date=2012-01-11|archive-date=2014-06-26|archive-url=https://web.archive.org/web/20140626025812/http://www.astrium-geo.com/en/66-geo-elevation-and-dem|url-status=dead}} The radar satellite RADARSAT-2 has been used by MacDonald, Dettwiler and Associates Ltd. to provide DEMs for commercial and military customers.{{cite web|url=http://gs.mdacorporation.com/Mapping/DigitalElevationModels.aspx|title=International - Geospatial|website=gs.mdacorporation.com|access-date=2012-02-02|archive-date=2016-03-04|archive-url=https://web.archive.org/web/20160304121452/http://gs.mdacorporation.com/Mapping/DigitalElevationModels.aspx|url-status=dead}}

In 2014, acquisitions from radar satellites TerraSAR-X and TanDEM-X will be available in the form of a uniform global coverage with a resolution of 12 meters.{{cite web|url=http://www.astrium-geo.com/terrasar-x/|title=TerraSAR-X : Airbus Defence and Space|website=www.astrium-geo.com|access-date=2012-01-11|archive-date=2014-08-12|archive-url=https://web.archive.org/web/20140812160313/http://www.astrium-geo.com/terrasar-x/|url-status=dead}}

ALOS provides since 2016 a global 1-arc second DSM free of charge,{{cite web|url=http://www.eorc.jaxa.jp/ALOS/en/aw3d30/|title=ALOS World 3D - 30m|website=www.eorc.jaxa.jp|access-date=2017-09-09|archive-date=2020-05-04|archive-url=https://web.archive.org/web/20200504132807/https://www.eorc.jaxa.jp/ALOS/en/aw3d30/|url-status=dead}} and a commercial 5 meter DSM/DTM.{{cite web|url=http://www.aw3d.jp/en/products/|title=ALOS World 3D|website=www.aw3d.jp}}

= Local =

Many national mapping agencies produce their own DEMs, often of a higher resolution and quality, but frequently these have to be purchased, and the cost is usually prohibitive to all except public authorities and large corporations. DEMs are often a product of national lidar dataset programs.

Free DEMs are also available for Mars: the MEGDR, or Mission Experiment Gridded Data Record, from the Mars Global Surveyor's Mars Orbiter Laser Altimeter (MOLA) instrument; and NASA's Mars Digital Terrain Model (DTM).{{cite web|url=http://www2.cs.uh.edu/~somalley/DemTutorial/#DEM|title=A basic guide for using Digital Elevation Models with Terragen|url-status=dead|archive-url=https://web.archive.org/web/20070519135415/http://www2.cs.uh.edu/~somalley/DemTutorial/#DEM|archive-date=2007-05-19}}

= Websites =

OpenTopography{{cite web|url=http://www.opentopography.org/|title=OpenTopography|website=www.opentopography.org}} is a web based community resource for access to high-resolution, Earth science-oriented, topography data (lidar and DEM data), and processing tools running on commodity and high performance compute system along with educational resources.{{cite web|url=http://www.opentopography.org/about/|title=About OpenTopography}} OpenTopography is based at the San Diego Supercomputer Center{{Cite web|url=http://www.sdsc.edu|title=San Diego Supercomputer Center|website=www.sdsc.edu|access-date=2018-08-16}} at the University of California San Diego and is operated in collaboration with colleagues in the School of Earth and Space Exploration at Arizona State University and UNAVCO.{{Cite web|url=http://www.unavco.org|title=Home {{!}} UNAVCO|website=www.unavco.org|language=en-US|access-date=2018-08-16}} Core operational support for OpenTopography comes from the National Science Foundation, Division of Earth Sciences.

The OpenDemSearcher is a Mapclient with a visualization of regions with free available middle and high resolution DEMs.[http://www.opendem.info/opendemsearcher.html OpenDemSearcher]

File:Moon_elevation.stl of the Moon with 10× elevation exaggeration rendered with data from the Lunar Orbiter Laser Altimeter of the Lunar Reconnaissance Orbiter ]]

See also

=DEM file formats=

References

{{Reflist}}

Further reading

  • {{cite book |last=Wilson |first=J.P. |author2=Gallant, J.C. |editor=Wilson, J.P. |editor2=Gallant, J.C. |title=Terrain Analysis: Principles and Applications |access-date=2007-02-16 |year=2000 |publisher= Wiley|location= New York|isbn=978-0-471-32188-0 |pages=1–27 |chapter=Chapter 1 |chapter-url=http://media.wiley.com/product_data/excerpt/85/04713218/0471321885.pdf }}
  • {{cite journal|last1=Hirt|first1=C.|last2=Filmer|first2=M.S. |last3=Featherstone|first3=W.E.|year=2010|title=Comparison and validation of recent freely-available ASTER-GDEM ver1, SRTM ver4.1 and GEODATA DEM-9S ver3 digital elevation models over Australia.|journal=Australian Journal of Earth Sciences|volume=57|issue=3|pages=337–347|url=http://espace.library.curtin.edu.au:80/R?func=dbin-jump-full&local_base=gen01-era02&object_id=137777|access-date=May 5, 2012|doi=10.1080/08120091003677553|bibcode=2010AuJES..57..337H|hdl=20.500.11937/43846|s2cid=140651372|hdl-access=free}}
  • {{cite journal|last1=Rexer|first1=M.|last2=Hirt|first2=C.|year=2014|title=Comparison of free high-resolution digital elevation data sets (ASTER GDEM2, SRTM v2.1/v4.1) and validation against accurate heights from the Australian National Gravity Database.|journal=Australian Journal of Earth Sciences|volume=61|issue=2|pages=213–226|url=http://geodesy.curtin.edu.au:80/local/docs/Rexer_Hirt_2014_DEM_AJES_av.pdf|archive-url=https://web.archive.org/web/20160607102637/http://geodesy.curtin.edu.au/local/docs/Rexer_Hirt_2014_DEM_AJES_av.pdf|url-status=dead|archive-date=June 7, 2016|access-date=April 24, 2014|doi=10.1080/08120099.2014.884983|bibcode=2014AuJES..61..213R|hdl=20.500.11937/38264|s2cid=3783826|hdl-access=free}}