Digital elevation model¶

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.

Version: v1 · 2026-09-28 · History
Domain-specific #: 8970
Domain group: Natural Sciences
Origin domain: Geology & Earth Sciences
Subdomains: Geomatics, Terrain Modeling → Geology & Earth Sciences

Core Idea¶

Digital elevation model is treated here as the recurring formal models and representations identity summarized by this source-grounded definition: 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 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, geological applications, and other applications, and in planetary science. 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.

For Digital elevation model, the abstraction is narrower than the article's general subject matter: a positive case must preserve 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. Retaining only the name, a familiar example, or a downstream effect is insufficient. The specialist roles and tests remain anchored in formal models and representations, which is why this identity is domain-specific rather than prime.

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The Height Number Grid

A digital elevation model is like a giant grid of numbers where each number tells how high the ground is at that spot. A computer can turn those numbers into a 3D picture of mountains and valleys. People even make them for the Moon and other planets.

Land Heights in a Computer

A digital elevation model, or DEM, is a way of storing the height of land in a computer. It is really a big table of numbers, one height for each spot, and computers turn it into pictures like shaded relief maps. Some versions show the bare ground, called a terrain model, while others include the tops of trees and roofs of buildings, called a surface model. DEMs are made for Earth and also for other planets, moons, and asteroids. People use them for maps, flood planning, and studying the land.

Gridded Elevation Model

A digital elevation model (DEM) is a digital representation of elevation data for terrain or objects on it, commonly for a planet, moon, or asteroid. The model itself is a matrix of numbers, but it is often displayed visually, for example as a relief map, so people can understand it. Terms vary: a digital terrain model (DTM) represents only the bare ground, while a DEM or digital surface model (DSM) may include tree canopy and building roofs. Surface models suit city modeling and visualization, while bare-ground models are needed for flood and drainage modeling, geology, and land-use studies. DEMs are widely used in geographic information systems and are the most common basis for digitally produced relief maps.

A digital elevation model (DEM), or digital surface model (DSM), is a digital, 3D-renderable representation of elevation data for terrain or overlying objects, commonly of a planet, moon, or asteroid. Structurally it is a matrix of elevation values over a spatial grid; a global DEM refers to a discrete global grid. The numbers are typically rendered visually, for example as shaded relief, to make them interpretable. DEMs are standard in geographic information systems and form the most common basis for digitally produced relief maps. Usage distinguishes a digital terrain model (DTM), representing the bare ground surface, from DEMs and DSMs, which may include tree canopy or building roofs. DSMs serve landscape and city modeling and visualization, whereas DTMs are generally required for flood or drainage modeling, land-use studies, geological applications, and planetary science.

Structural Signature¶

Sig role-phrases:

Defining carrier — Quality assessment of DEM can be performed by comparison of DEMs from different sources.
Constitutive relation — 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".
Operating condition — 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.
Recognition evidence — The DEM could be acquired through techniques such as photogrammetry, lidar, IfSAR or InSAR, land surveying, etc.
Admissible variation — 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.
Characteristic consequence — Older methods of generating DEMs often involve interpolating digital contour maps that may have been produced by direct survey of the land surface.
Failure boundary — The data is free to download non-commercially and through the developer's website at a cost commercially.

What It Is Not¶

Not the whole field of formal models and representations. The node requires the specific identity stated by 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.
Not an over-broad reading. 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.
Not an over-broad reading. however, object to vertical exaggeration as misleading the viewer about the true landscape.
Not an over-broad reading. Mappers may prepare digital elevation models in a number of ways, but they frequently use remote sensing rather than direct survey data.
Not automatically Global Relief Model. Retrieval proximity does not establish equivalence; the two identities must be compared by carrier, operation, and failure boundary.

Scope of Application¶

Digital elevation model applies literally inside formal models and representations wherever the source-defined carrier and relation can be established. Its documented habitats include:

Production. This method is still used in mountain areas, where interferometry is not always satisfactory.
Terminology. DEM is often used as a generic term for DSMs and DTMs, only representing height information without any further definition about the surface.
Terminology. In the following, the term DEM is used as a generic term for DSMs and DTMs.
Production. Older methods of generating DEMs often involve interpolating digital contour maps that may have been produced by direct survey of the land surface.
Planetary mapping. A tool of increasing value in planetary science has been use of orbital altimetry used to make digital elevation map of planets.
Planetary mapping. A primary tool for this is laser altimetry but radar altimetry is also used.

Outside formal models and representations, the name should be retained only when these same operational conditions survive; otherwise the comparison belongs to the broader parent Theory or should be marked as analogy.

Clarity¶

A clear use of Digital elevation model names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is 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. The strongest recognition evidence in the frozen account is: The DEM could be acquired through techniques such as photogrammetry, lidar, IfSAR or InSAR, land surveying, etc. A report should distinguish that evidence from a proxy, consequence, or common implementation. It should also state the qualification 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. so that a reader can reproduce the classification rather than infer it from topical resemblance.

Manages Complexity¶

Digital elevation model compresses multiple formal models and representations details into a stable diagnostic relation. The source shows both the central mechanism—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".—and the practical consequence—older methods of generating DEMs often involve interpolating digital contour maps that may have been produced by direct survey of the land surface. This compression makes cases comparable while leaving parameters, conventions, exceptions, and evidential quality explicit. It is lossy by design: local history and implementation details may be omitted only when they do not alter the defining relation.

Abstract Reasoning¶

Type the carrier. Identify the formal models and representations entities to which the claim applies.
State the relation. Use the source-grounded identity: 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.
Check operation and conditions. 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.
Demand recognition evidence. The DEM could be acquired through techniques such as photogrammetry, lidar, IfSAR or InSAR, land surveying, etc.
Test variation. Change an implementation or setting while preserving 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.
Run the collapse test. Remove the defining operation; if the label still seems equally apt, only a topic or correlate was retained.
Reduce cautiously. When the specialist conditions cannot be carried, route the residual comparison to Theory.

Knowledge Transfer¶

Within the home domain. Knowledge about Digital elevation model transfers literally when a new case preserves the same carrier type, relation, and recognition test. This method is still used in mountain areas, where interferometry is not always satisfactory. DEM is often used as a generic term for DSMs and DTMs, only representing height information without any further definition about the surface.

Beyond the home domain. No canonical parent is asserted for Digital elevation model. An outside case receives the specialist name only when the same typed roles and rejection conditions can be filled literally; otherwise the comparison remains an analogy pending later graph densification.

Examples¶

Canonical¶

In most cases the term digital surface model represents the earth's surface and includes all objects on it. This case is canonical because it supplies a concrete carrier and lets the defining relation be checked rather than merely named.

Mapped back: carrier → the entities in the documented case; operation → 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; recognition evidence → The DEM could be acquired through techniques such as photogrammetry, lidar, IfSAR or InSAR, land surveying, etc

Applied / In Practice¶

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). The applied case shows how the identity is used under a second setting or qualification while keeping the same operative relation.

Mapped back: changed setting → Terminology; invariant → 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; boundary → the case exits the class when 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

Structural Tensions¶

T1 — Stable identity versus admissible variation. 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. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Which changes preserve the defining relation, and which replace it?

T2 — Recognition versus proxy. however, object to vertical exaggeration as misleading the viewer about the true landscape. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the cited evidence establish the identity or only a correlated sign?

T3 — Definition versus implementation. Mappers may prepare digital elevation models in a number of ways, but they frequently use remote sensing rather than direct survey data. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Is the observed implementation constitutive, optional, or merely common?

T4 — Scope versus overextension. This method is still used in mountain areas, where interferometry is not always satisfactory. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Can every claimed application fill the same typed roles without metaphor?

T5 — Transfer versus domain accent. Quality assessment of DEM can be performed by comparison of DEMs from different sources. The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: Does the receiving case instantiate Digital elevation model literally, co-instantiate Theory, or only resemble it?

T6 — Autonomy versus reduction. 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". The tension matters because emphasizing only one side either dissolves the identity or overstates what the evidence and domain conventions warrant.

Diagnostic: What does Digital elevation model distinguish that the broader parent Theory leaves together?

Structural–Framed Character¶

Digital elevation model is mixed or framed-leaning. Its structural side is the repeatable organization summarized by 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. Its framed side is the formal models and representations vocabulary that fixes the carrier, evidence, exceptions, and admissible transformations.

Evaluative weight: the identity can be stated descriptively even when applications carry practical stakes. Human-practice dependence: the source-grounded carrier determines whether the relation exists independently or is constituted by a practice. Institutional origin: disciplinary conventions stabilize the name and test. Vocabulary portability: 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. Import versus recognition: literal transfer requires the same mechanism; shape alone is analogy.

Its portable skeleton is Theory. Its character: a recurring specialist identity whose thin organization can be abstracted, while its operational meaning remains domain-bound.

Structural Core vs. Domain Accent¶

What is skeletal. 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. The stable skeleton is the typed relation expressed in that definition and the entry's recognition and collapse tests. The source identifies these operative conditions: Quality assessment of DEM can be performed by comparison of DEMs from different sources. 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". It further constrains recognition and variation through: 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. The DEM could be acquired through techniques such as photogrammetry, lidar, IfSAR or InSAR, land surveying, etc.

What is domain-bound. formal models and representations supplies the operative entities, technical vocabulary, warrants, and exceptions that make Digital elevation model literal. Its documented scope includes the condition that This method is still used in mountain areas, where interferometry is not always satisfactory. Another bounded application condition is that DEM is often used as a generic term for DSMs and DTMs, only representing height information without any further definition about the surface. These are not decorative examples; they determine which carrier and evidence can fill the abstraction's roles.

Why no parent is asserted. Removing those specialist details does not currently yield one live catalog node that is a necessary genus for every instance. The entry is therefore approved as unparented rather than attached by topical resemblance. Its collapse evidence remains specific—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.—and future graph densification may discover a defensible relation only if it preserves that boundary.

This entry is a kind of Representation.

Approved unparented node. No current live node supplies a defensible necessary genus or structural prerequisite for Digital elevation model. The reviewed identity is: 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. The accelerated suggestion was declined because topical or lexical similarity does not establish hierarchy; the node is admitted without a parent pending later graph densification.
Related reasoning operations. Evidence, representation, comparison, classification, transformation, or evaluation may participate in particular cases, but participation does not make any one of them a necessary parent of every instance.

Relationships to Other Abstractions¶

Current abstraction Digital elevation model Domain-specific

Parents (1) — more general patterns this builds on

Digital elevation model is a kind of Representation Prime

Digital elevation model is a domain-specific kind of representation under its frozen identity and differentia.

Hierarchy path (1) — routes to 1 parentless root

Digital elevation model → Representation → Abstraction

Neighborhood in Abstraction Space¶

Digital elevation model sits in a sparse region of the domain-specific corpus (88^th percentile for distinctiveness): few abstractions share its structure, so a faithful description tends to retrieve it precisely.

Family — Unclustered & Miscellaneous (2551 abstractions)

Nearest neighbors

Computed from structural-signature embeddings · 2026-10-08

Not to Be Confused With¶

Theory. The parent omits the specialist differentia. Tell: Can the case establish 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?
Global Relief Model. Represent Earth's land topography and water-covered bathymetry as one globally covered, georeferenced elevation field under declared surface, vertical-reference, resolution, registration, and lineage conventions. Tell: Which entry's carrier, operation, and failure condition are satisfied?
3D city model. A georeferenced three-dimensional digital representation of urban terrain, buildings, infrastructure, vegetation and related semantic objects. Tell: Which entry's carrier, operation, and failure condition are satisfied?
Data model (ArcGIS). Describes the structure of an ArcGIS geodatabase?. Tell: Which entry's carrier, operation, and failure condition are satisfied?
A measurement, proxy, or consequence. Those may provide evidence without being the identity. Tell: Would Digital elevation model remain present if the detector or downstream effect changed?
A metaphorical analogue. A similar shape outside formal models and representations lacks the specialist mechanism. Tell: Do the native roles transfer literally, or only the parent Theory?

References¶

Frozen Wikipedia discovery revision: https://en.wikipedia.org/wiki/Digital_elevation_model (revision 1364618231).
Preserved source candidate: http://www.racurs.ru/www_download/articles/Balenovic.pdf
Preserved source candidate: http://www.environment-agency.gov.uk/commondata/acrobat/app_a_1243533.pdf
Preserved source candidate: https://web.archive.org/web/20070710054700/http://www.environment-agency.gov.uk/commondata/acrobat/app_a_1243533.pdf
Preserved source candidate: http://www.intermap.com/en-us/nextmap/digitalsurfacemodel.aspx
Preserved source candidate: https://web.archive.org/web/20110928170504/http://www.intermap.com/en-us/nextmap/digitalsurfacemodel.aspx
Preserved source candidate: https://mediatum.ub.tum.de/doc/1375750/54500.pdf
Preserved source candidate: http://sapiens.revues.org/index738.html
Preserved source candidate: https://books.google.com/books?id=j5ePLBWYAOgC

The frozen Wikipedia revision is discovery provenance. The retained source set was reviewed for identity, formal or operational relation, and scope. The encyclopedia's structural synthesis is bounded to those claims; a thin authority surface is recorded as a nonblocking source-strengthening repair rather than concealed.