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Topography is the study of the forms and features of . The topography of an area may refer to the landforms and features themselves, or a description or in maps.

Topography is a field of and planetary science and is concerned with local detail in general, including not only relief, but also natural, artificial, and features such as roads, land boundaries, and buildings.

(2018). 9781478637226, Waveland Press.
In the United States, topography often means specifically relief, even though the USGS topographic maps record not just contours, but also roads, populated places, structures, land boundaries, and so on.

Topography in a narrow sense involves the recording of relief or , the three-dimensional quality of the surface, and the identification of specific ; this is also known as . In modern usage, this involves generation of elevation data in digital form (DEM). It is often considered to include the graphic representation of the landform on a by a variety of cartographic relief depiction techniques, including , hypsometric tints, and .


Etymology
The term topography originated in and continued in , as the detailed description of a place. The word comes from the τόπος ( topos, "place") and -γραφία ( -graphia, "writing"). Online Etymology Dictionary – etymonline.com In classical literature this refers to writing about a place or places, what is now largely called ''. In Britain and in Europe in general, the word topography is still sometimes used in its original sense.For example, see the websites of the Victoria County History and London Topographical Society

Detailed military surveys in (beginning in the late eighteenth century) were called , and this term was used into the 20th century as generic for topographic surveys and maps. Oxford English Dictionary – "Ordnance Survey" The earliest scientific surveys in France were the Cassini maps after the family who produced them over four generations. The term "topographic surveys" appears to be American in origin. The earliest detailed surveys in the United States were made by the "Topographical Bureau of the Army", formed during the War of 1812, Topographical Engineers – History and Personnel which became the Corps of Topographical Engineers in 1838. Charting the Inland Seas: A History of the U.S. Lake Survey, Arthur M. Woodford, 1991 After the work of national mapping was assumed by the United States Geological Survey in 1878, the term topographical remained as a general term for detailed surveys and mapping programs, and has been adopted by most other nations as standard.

In the 20th century, the term topography started to be used to describe surface description in other fields where in a broader sense is used, particularly in medical fields such as .


Objectives
An objective of topography is to determine the position of any feature or more generally any point in terms of both a horizontal coordinate system such as latitude, longitude, and . Identifying (naming) features, and recognizing typical landform patterns are also part of the field.

A may be made for a variety of reasons: military planning and geological exploration have been primary motivators to start survey programs, but detailed information about and surface features is essential for the and of any major civil engineering, , or projects.


Techniques
There are a variety of approaches to studying topography. Which method(s) to use depends on the scale and size of the area under study, its accessibility, and the quality of existing surveys.


Field survey
Surveying helps determine accurately the terrestrial or three-dimensional space position of points and the distances and between them using leveling instruments such as , and . and other global navigation satellite systems (GNSS) are also used.

Work on one of the first topographic maps was begun in France by Giovanni Domenico Cassini, the great Italian astronomer.

Even though remote sensing has greatly sped up the process of gathering information, and has allowed greater accuracy control over long distances, the direct survey still provides the basic control points and framework for all topographic work, whether manual or -based.

In areas where there has been an extensive direct survey and mapping program (most of Europe and the Continental U.S., for example), the compiled data forms the basis of basic digital elevation datasets such as data. This data must often be "cleaned" to eliminate discrepancies between surveys, but it still forms a valuable set of information for large-scale analysis.

The original American topographic surveys (or the British "Ordnance" surveys) involved not only recording of relief, but identification of landmark features and vegetative land cover.


Remote sensing
is a general term for geodata collection at a distance from the subject area.


Passive sensor methodologies
Besides their role in photogrammetry, aerial and satellite imagery can be used to identify and delineate terrain features and more general land-cover features. Certainly they have become more and more a part of , whether or systems. False-color and non-visible imaging can also help determine the lie of the land by delineating vegetation and other land-use information more clearly. Images can be in visible colours and in other spectrum.


Photogrammetry
Photogrammetry is a measurement technique for which the of the points in 3D of an object are determined by the measurements made in two images (or more) taken starting from different positions, usually from different passes of an aerial photography flight. In this technique, the common points are identified on each . A line of sight (or ray) can be built from the camera location to the point on the object. It is the intersection of its rays () which determines the relative three-dimensional position of the point. Known control points can be used to give these relative positions absolute values. More sophisticated can exploit other information on the scene known a priori (for example, symmetries in certain cases allowing the rebuilding of three-dimensional co-ordinates starting from one only position of the camera).


Active sensor methodologies
Satellite mapping is one of the major techniques of generating Digital Elevation Models (see below). Similar techniques are applied in surveys using to determine the terrain of the ocean floor. In recent years, ( LIght Detection And Ranging), a remote sensing technique that uses a laser instead of radio waves, has increasingly been employed for complex mapping needs such as charting canopies and monitoring glaciers.


Forms of topographic data
Terrain is commonly modelled either using vector (triangulated irregular network or TIN) or gridded () mathematical models. In the most applications in environmental sciences, land surface is represented and modelled using gridded models. In civil engineering and entertainment businesses, the most representations of land surface employ some variant of TIN models. In , land surface is commonly modelled as a combination of the two signals – the smooth (spatially correlated) and the rough (noise) signal.

In practice, surveyors first sample heights in an area, then use these to produce a Digital Land Surface Model in the form of a TIN. The DLSM can then be used to visualize terrain, drape remote sensing images, quantify ecological properties of a surface or extract land surface objects. The contour data or any other sampled elevation datasets are not a DLSM. A DLSM implies that elevation is available continuously at each location in the study area, i.e. that the map represents a complete surface. Digital Land Surface Models should not be confused with Digital Surface Models, which can be surfaces of the canopy, buildings and similar objects. For example, in the case of surface models produces using the lidar technology, one can have several surfaces – starting from the top of the canopy to the actual solid earth. The difference between the two surface models can then be used to derive volumetric measures (height of trees etc.).


Raw survey data
Topographic survey information is historically based upon the notes of surveyors. They may derive naming and cultural information from other local sources (for example, boundary delineation may be derived from local mapping). While of historical interest, these field notes inherently include errors and contradictions that later stages in map production resolve.


Remote sensing data
As with field notes, remote sensing data (aerial and satellite photography, for example), is raw and uninterpreted. It may contain holes (due to cloud cover for example) or inconsistencies (due to the timing of specific image captures). Most modern topographic mapping includes a large component of remotely sensed data in its compilation process.


Topographic mapping
In its contemporary definition, topographic mapping shows relief. In the United States, topographic maps show relief using . The USGS calls maps based on topographic surveys, but without contours, "planimetric maps."

These maps show not only the contours, but also any significant streams or other bodies of water, , built-up areas or individual buildings (depending on scale), and other features and points of interest.

While not officially "topographic" maps, the national surveys of other nations share many of the same features, and so they are often called "topographic maps."

Existing topographic survey maps, because of their comprehensive and encyclopedic coverage, form the basis for much derived topographic work. Digital Elevation Models, for example, have often been created not from new remote sensing data but from existing paper topographic maps. Many government and private publishers use the artwork (especially the contour lines) from existing topographic map sheets as the basis for their own specialized or updated topographic maps.See for example the publications of National Geographic Trails Illustrated Maps and products.

Topographic mapping should not be confused with . The latter is concerned with underlying structures and processes to the surface, rather than with identifiable surface features.


Digital elevation modeling
The digital elevation model (DEM) is a -based dataset of the topography ( and/or ) of all or part of the Earth (or a ). The of the dataset are each assigned an elevation value, and a header portion of the dataset defines the area of coverage, the units each pixel covers, and the units of elevation (and the zero-point). DEMs may be derived from existing paper maps and survey data, or they may be generated from new satellite or other remotely sensed or data.


Topological modeling
A geographic information system (GIS) can recognize and analyze the spatial relationships that exist within digitally stored spatial data. These topological relationships allow complex spatial modelling and analysis to be performed. Topological relationships between geometric entities traditionally include adjacency (what adjoins what), containment (what encloses what), and proximity (how close something is to something else).
  • reconstitute a sight in synthesized images of the ground,
  • determine a trajectory of overflight of the ground,
  • calculate surfaces or volumes,
  • trace topographic profiles,


Topography in other fields
Topography has been applied to different science fields. In , the discipline uses techniques such as EEG topography for . In , corneal topography is used as a technique for mapping the surface curvature of the . In tissue engineering, atomic force microscopy is used to map .

In , topography is superficial human anatomy.

In mathematics the concept of topography is used to indicate the patterns or general organization of features on a map or as a term referring to the pattern in which variables (or their values) are distributed in a space.


Topographers
Topographers are experts in topography. They study and describe the surface features of a place or region.


See also

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