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Topography is the study of the forms and features of
land surfaces. The topography of an area may refer to the land forms and features themselves, or a description or
depiction
Depiction is reference conveyed through pictures. A picture refers to its object through a non-linguistic two-dimensional scheme, and is distinct from writing or notation. A depictive two-dimensional scheme is called a picture plane and may be cons ...
in maps.
Topography is a field of
geoscience and
planetary science
Planetary science (or more rarely, planetology) is the scientific study of planets (including Earth), celestial bodies (such as moons, asteroids, comets) and planetary systems (in particular those of the Solar System) and the processes of their f ...
and is concerned with local detail in general, including not only
relief, but also
natural, artificial, and
cultural
Culture () is an umbrella term which encompasses the social behavior, institutions, and Social norm, norms found in human Society, societies, as well as the knowledge, beliefs, arts, laws, Social norm, customs, capabilities, and habits of the ...
features such as roads, land boundaries, and buildings. In the
United States, topography often means specifically ''relief'', even though the
USGS topographic maps record not just
elevation contours, but also roads, populated places, structures, land boundaries, and so on.
Topography in a narrow sense involves the recording of relief or
terrain, the three-dimensional quality of the surface, and the identification of specific
landform
A landform is a natural or anthropogenic land feature on the solid surface of the Earth or other planetary body. Landforms together make up a given terrain, and their arrangement in the landscape is known as topography. Landforms include hills, ...
s; this is also known as
geomorphometry. 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
map by a variety of
cartographic relief depiction techniques, including
contour lines,
hypsometric tints, and
relief shading.
Etymology
The term ''topography'' originated in
ancient Greece and continued in
ancient Rome, as the detailed description of a place. The word comes from the
Greek (''topos'', "place") and (''-graphia'', "writing"). In classical literature this refers to writing about a place or places, what is now largely called '
local history'. In Britain and in Europe in general, the word topography is still sometimes used in its original sense.
Detailed military surveys in
Britain (beginning in the late eighteenth century) were called
Ordnance Surveys, and this term was used into the 20th century as generic for topographic surveys and maps. The earliest scientific surveys in France were called 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, which became the
Corps of Topographical Engineers in 1838. After the work of national mapping was assumed by the
U.S. 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
mapping in a broader sense is used, particularly in medical fields such as
neurology.
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
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space. The order of the coordinates is sig ...
such as latitude, longitude, and
altitude. Identifying (naming) features, and recognizing typical landform patterns are also part of the field.
A
topographic study 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
terrain and surface features is essential for the
planning
Planning is the process of thinking regarding the activities required to achieve a desired goal. Planning is based on foresight, the fundamental capacity for mental time travel. The evolution of forethought, the capacity to think ahead, is consi ...
and
construction of any major
civil engineering,
public works, or
reclamation 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
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Surveying helps determine accurately the terrestrial or
three-dimensional space position of points and the distances and
angles between them using
leveling instruments such as
theodolites,
dumpy levels and
clinometers.
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
GIS
A geographic information system (GIS) is a type of database containing Geographic data and information, geographic data (that is, descriptions of phenomena for which location is relevant), combined with Geographic information system software, sof ...
-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
USGS DEM 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
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
geovisualization, whether
maps or
GIS
A geographic information system (GIS) is a type of database containing Geographic data and information, geographic data (that is, descriptions of phenomena for which location is relevant), combined with Geographic information system software, sof ...
systems. False-color and non-visible
spectra 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
co-ordinates of the points in
3D of an object are determined by the measurements made in two
photographic image
An image is a visual representation of something. It can be two-dimensional, three-dimensional, or somehow otherwise feed into the visual system to convey information. An image can be an artifact, such as a photograph or other two-dimensiona ...
s (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 image. A line of sight (or
ray
Ray may refer to:
Fish
* Ray (fish), any cartilaginous fish of the superorder Batoidea
* Ray (fish fin anatomy), a bony or horny spine on a fin
Science and mathematics
* Ray (geometry), half of a line proceeding from an initial point
* Ray (g ...
) can be built from the camera location to the point on the object. It is the intersection of its rays (
triangulation
In trigonometry and geometry, triangulation is the process of determining the location of a point by forming triangles to the point from known points.
Applications
In surveying
Specifically in surveying, triangulation involves only angle me ...
) 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
algorithms 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
RADAR mapping is one of the major techniques of generating Digital Elevation Models (see below). Similar techniques are applied in
bathymetric surveys using
sonar to determine the terrain of the ocean floor. In recent years,
LIDAR
Lidar (, also LIDAR, or LiDAR; sometimes LADAR) is a method for determining ranges (variable distance) by targeting an object or a surface with a laser and measuring the time for the reflected light to return to the receiver. It can also be ...
(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 (
Raster image) mathematical models. In the most applications in
environmental science
Environmental science is an interdisciplinary academic field that integrates physics, biology, and geography (including ecology, chemistry, plant science, zoology, mineralogy, oceanography, limnology, soil science, geology and physical geograp ...
s, 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
geostatistics, 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. Note that 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
cadastral 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
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In its contemporary definition, topographic mapping shows relief. In the United States,
USGS topographic maps show relief using
contour lines
A contour line (also isoline, isopleth, or isarithm) of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph ...
. 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,
forest cover, 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 o]
National Geographic Trails Illustrated Maps
and DeLorme
DeLorme is the producer of personal satellite tracking, messaging, and navigation technology. The company’s main product, ''inReach'', integrates GPS and satellite technologies. ''inReach'' provides the ability to send and receive text messages ...
products.
Topographic mapping should not be confused with
geologic map
A geologic map or geological map is a special-purpose map made to show various geological features. Rock units or geologic strata are shown by color or symbols. Bedding planes and structural features such as faults, folds, are shown with st ...
ping. The latter is concerned with underlying structures and processes to the surface, rather than with identifiable surface features.
Digital elevation modeling
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The digital elevation model (DEM) is a
raster
Raster may refer to:
* Raster graphics, graphical techniques using arrays of pixel values
* Raster graphics editor, a computer program
* Raster scan, the pattern of image readout, transmission, storage, and reconstruction in television and compu ...
-based
digital
Digital usually refers to something using discrete digits, often binary digits.
Technology and computing Hardware
*Digital electronics, electronic circuits which operate using digital signals
**Digital camera, which captures and stores digital i ...
dataset of the topography (
hypsometry and/or
bathymetry) of all or part of the Earth (or a
telluric planet
A terrestrial planet, telluric planet, or rocky planet, is a planet that is composed primarily of silicate rocks or metals. Within the Solar System, the terrestrial planets accepted by the IAU are the inner planets closest to the Sun: Mercury, Ven ...
). The
pixels 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
radar or
sonar data.
Topological modeling
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A
geographic information system
A geographic information system (GIS) is a type of database containing Geographic data and information, geographic data (that is, descriptions of phenomena for which location is relevant), combined with Geographic information system software, sof ...
(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
neuroscience, the
neuroimaging discipline uses techniques such as EEG topography for
brain mapping. In
ophthalmology,
corneal topography is used as a technique for mapping the surface curvature of the
cornea. In
tissue engineering,
atomic force microscopy
Atomic force microscopy (AFM) or scanning force microscopy (SFM) is a very-high-resolution type of scanning probe microscopy (SPM), with demonstrated resolution on the order of fractions of a nanometer, more than 1000 times better than the op ...
is used to map
nanotopography Nanotopography refers to specific surface features which form or are generated at the nanoscopic scale. While the term can be used to describe a broad range of applications ranging from integrated circuits to microfluidics, in practice it typically ...
.
In
human anatomy
The human body is the structure of a human being. It is composed of many different types of cells that together create tissues and subsequently organ systems. They ensure homeostasis and the viability of the human body.
It comprises a he ...
, 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.
See also
*
Cartography
*
Digital elevation model
*
Fall line (topography)
*
Geomorphology
Geomorphology (from Ancient Greek: , ', "earth"; , ', "form"; and , ', "study") is the scientific study of the origin and evolution of topographic and bathymetric features created by physical, chemical or biological processes operating at or n ...
*
Global Relief Model
*
Hypsography
*
Marine topography
*
Topographic map
References
{{Authority control
Cartography
Geography