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Topography



 
 
Topography (topo-, "place", and graphia, "writing") is the study of Earth
Earth

Earth is the third planet from the Sun. Earth is the largest of the terrestrial planets in the Solar System in diameter, mass and density. It is also referred to as the World and Wiktionary:Terra.Note that by International Astronomical Union convention, the term "Terra" is used for naming extensive land masses, rather...
's surface
Surface

In mathematics, specifically in topology, a surface is a two-dimensional topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space E3....
 shape and features or those of planet
Planet

A planet , as 2006 definition of planet by the International Astronomical Union , is a celestial body orbiting a star or Stellar evolution#Stellar remnants that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared the neighbourhood of planetesimals....
s, moons
Natural satellite

A natural satellite or moon is a celestial body that orbits a planet or smaller body, which is called the primary. Technically, the term natural satellite could refer to a planet orbiting a star, or a dwarf galaxy orbiting a major galaxy, but it is normally synonymous with moon and used to identify non-artificial satellites...
, and asteroids. It is also the description of such surface shapes and features (especially their depiction in maps).

The topography of an area can also mean the surface shape and features themselves.

In a broader sense, topography is concerned with local detail in general, including not only relief but also vegetative
Vegetation

refers to the flora system of a specific region....
 and human-made features, and even local history
Local history

Local history is the study of history in a geographically local context and it often concentrates on the local community. It incorporates cultural history and social history aspects of history....
 and culture
Culture

Culture is difficult to define. For example, in 1952, Alfred Kroeber and Clyde Kluckhohn compiled a list of 164 definitions of "culture" in Culture: A Critical Review of Concepts and Definitions....
.






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Topographic Map Example
Topography (topo-, "place", and graphia, "writing") is the study of Earth
Earth

Earth is the third planet from the Sun. Earth is the largest of the terrestrial planets in the Solar System in diameter, mass and density. It is also referred to as the World and Wiktionary:Terra.Note that by International Astronomical Union convention, the term "Terra" is used for naming extensive land masses, rather...
's surface
Surface

In mathematics, specifically in topology, a surface is a two-dimensional topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space E3....
 shape and features or those of planet
Planet

A planet , as 2006 definition of planet by the International Astronomical Union , is a celestial body orbiting a star or Stellar evolution#Stellar remnants that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared the neighbourhood of planetesimals....
s, moons
Natural satellite

A natural satellite or moon is a celestial body that orbits a planet or smaller body, which is called the primary. Technically, the term natural satellite could refer to a planet orbiting a star, or a dwarf galaxy orbiting a major galaxy, but it is normally synonymous with moon and used to identify non-artificial satellites...
, and asteroids. It is also the description of such surface shapes and features (especially their depiction in maps).

The topography of an area can also mean the surface shape and features themselves.

In a broader sense, topography is concerned with local detail in general, including not only relief but also vegetative
Vegetation

refers to the flora system of a specific region....
 and human-made features, and even local history
Local history

Local history is the study of history in a geographically local context and it often concentrates on the local community. It incorporates cultural history and social history aspects of history....
 and culture
Culture

Culture is difficult to define. For example, in 1952, Alfred Kroeber and Clyde Kluckhohn compiled a list of 164 definitions of "culture" in Culture: A Critical Review of Concepts and Definitions....
. This meaning is less common in America, where topographic maps with elevation
Elevation

The elevation of a geographic location is its height above a fixed reference point, often the above mean sea level. Elevation, or geometric height, is mainly used when referring to points on the Earth's surface, while altitude or geopotential height is used for points above the surface, such as an aircraft in flight or a s...
 contours have made "topography" synonymous with relief. The older sense of topography as the study of place
Topography as the study of place

Starting in ancient Greece, places have been described in topography , and an author of such writing has been called a topographer . Greek and Roman topographers provide much of the basis of modern reconstructions of the fabric of the cities of Classical times, and especially that of Rome....
 still has currency in Europe.

For the purposes of this article, topography specifically involves the recording of relief or terrain
Terrain

Terrain, or relief, is the third or vertical dimension of land surface. When relief is described underwater, the term bathymetry is used....
, the three-dimensional quality of the surface, and the identification of specific landform
Landform

In the earth sciences and geology sub-fields a landform or physical feature comprises a geomorphology unit, and is largely defined by its surface form and location in the landscape, as part of the terrain, and as such, is typically an element of topography....
s. This is also known as geomorphometry
Geomorphometry

Geomorphometry is the science of quantitative land surface analysis. It gathers various mathematical, statistical and image processing techniques that can be used to quantify morphological, hydrological, ecological and other aspects of a land surface....
. In modern usage, this involves generation of elevation data in electronic form. It is often considered to include the graphic representation of the landform on a map
Map

A map is a visual representation of an area?a symbolic depiction highlighting relationships between elements of that space such as Object , regions, and topic-comment....
 by a variety of techniques
Cartographic relief depiction

Terrain or relief is an essential aspect of physical geography, and as such its portrayal presents a central problem in cartography, and more recently geographic information system and 3D visualization ....
, including contour line
Contour line

A contour line of a Function of two variables is a curve along which the function has a constant value. In cartography, a contour line joins points of equal elevation above a given level, such as mean sea level....
s, Hypsometric tints, and relief shading.

Etymology

The term topography
Topography

Topography is the study of Earth's surface shape and features or those ofplanets, Natural satellite, and asteroids. It is also the description of such surface shapes and features ....
 originated in ancient Greece
Ancient Greece

The term Ancient Greece refers to the period of History of Greece lasting from the Greek Dark Ages ca. 1100 BC and the Dorian invasion, to 146 BC and the Roman Republic conquest of Greece after the Battle of Corinth ....
 and continued in ancient Rome
Ancient Rome

Ancient Rome was a civilization that grew out of a small agricultural community founded on the Italian Peninsula as early as the 10th century BC....
, as the detailed description of a place. The word comes from the Greek words
List of Greek words with English derivatives

This is a list of Greek words with derivatives in English. The words are in Greek alphabetic order, with tables for the 24 Greek letters, listing thousands of related English words....
  (topos, place) and (graphia, writing). In classical literature this refers to writing about a place or places, what is now largely called 'local history
Local history

Local history is the study of history in a geographically local context and it often concentrates on the local community. It incorporates cultural history and social history aspects of 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 Survey
Ordnance Survey

Ordnance Survey is an executive agency of the United Kingdom government. It is the national mapping agency for Great Britain, and one of the world's largest producers of maps....
s, 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
Cassini

Cassini may be:...
 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
War of 1812

The War of 1812, between the United States of America and the British Empire , was fought from 1812 to 1815.There were several immediate stated causes for the U.S....
 . 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
Mapping

Mapping may refer to:*The making of maps, as in cartography, surveying, and photogrammetry;In biology and neuroscience:*Gene mapping, the assignment of DNA fragments to chromosomes...
 in a broader sense is used, particularly in medical fields such as neurology
Neurology

Neurology is a medical specialty dealing with disorders of the nervous system. Specifically, it deals with the diagnosis and treatment of all categories of disease involving the Central nervous system, Peripheral nervous system, and autonomic nervous systems, including their coverings, blood vessels, and...
.

Objectives

The objective of topography is to determine the position of any feature or more generally any point in terms of both a horizontal Coordinate system
Coordinate system

In mathematics and its applications, a coordinate system is a system for assigning an n-tuple of numbers or scalar to each Point in an n-dimensional space....
 such as latitude and longitude, and altitude
Altitude

Altitude has multiple uses depending on the context in which it is used . As a general definition, altitude is a distance measurement, usually in the vertical or "up" direction, between a reference datum and a point or object....
. Identifying (naming) features and recognizing typical landform patterns are also part of the field.

A topographic study
Surveying

Surveying or land surveying is the technique and science of accurately determining the terrestrial or three-dimensional space position of points and the distances and angles between them....
 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
Terrain

Terrain, or relief, is the third or vertical dimension of land surface. When relief is described underwater, the term bathymetry is used....
 and surface features is essential for the planning
Planning

Planning in organizations and public policy is both the organizational process of creating and maintaining a plan; and the psychological process of thinking about the activities required to create a desired goal on some scale....
 and construction
Construction

In the fields of architecture and civil engineering, construction is a process that consists of the building or assembling of infrastructure. Far from being a single activity, large scale construction is a feat of multitasking....
 of any major civil engineering
Civil engineering

Civil engineering is a Professional Engineer discipline that deals with the design, construction and maintenance of the physical and naturally built environment, including works such as bridges, roads, canals, dams and buildings....
, public works
Public works

Public works are the construction or engineering projects carried out by the state on behalf of the community....
, or reclamation
Reclamation

Reclamation is the process of reclaiming something from loss or from a less useful condition. It is generally used of water reclamation, which, a century ago meant damming streams , and now has come to be used to describe wastewater reclamation....
 projects.

Techniques of topography

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

Direct survey

Surveying helps determine accurately the terrestrial or three-dimensional space
Three-dimensional space

Three-dimensional space is a geometric model of the physical universe in which we live. The three dimensions are commonly called length, width, and depth , although any three mutually perpendicular directions can serve as the three dimensions....
 position
Position

Position may refer to:* A location in a coordinate system, usually in two or more dimensions; the science of position and its generalizations is topology...
 of points and the distances and angles between them using leveling instruments such as theodolite
Theodolite

A theodolite is an instrument for measuring both horizontal and vertical angles, as used in Triangulation. It is a key tool in surveying and engineering work, particularly on inaccessible ground, but theodolites have been adapted for other specialized purposes in fields like meteorology and rocket launch technology....
s, dumpy level
Dumpy level

A dumpy level, builder's auto level, leveling instrument or automatic level is an optical instrument used in surveying and construction to transfer, measure, or set horizontal levels....
s and clinometers.

Even though remote sensing has greatly speeded 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-based.

In areas where there has been an extensive direct survey and mapping program (most of Europe and the Continental US, for example), the compiled data forms the basis of basic digital elevation datasets such as USGS DEM
USGS DEM

The USGS DEM standard is a geospatial file format developed by the United States Geological Survey for storing a Raster graphics-based digital elevation model....
 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
Remote sensing

Remote sensing is the small or large-scale acquisition of information of an object or phenomenon, by the use of either recording or real-time sensing device that is not in physical or intimate contact with the object ....
 is a general term for geodata collection at a distance from the subject area.

Aerial and satellite imagery
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
Geovisualization

Geovisualization, short for Geographic Visualization, refers to a set of tools and techniques supporting geospatial data analysis through the use of interactive visualization....
, whether maps
MAPS

Maps is the plural of map, a visual representation of an area.As an acronym, MAPS may refer to:* Mail Abuse Prevention System* Manx Aviation Preservation Society...
 or GIS systems. False-color and non-visible spectra
Spectra

spectrum are conditions or values that vary over a continuum.Spectra may also refer to:* Sally Spectra, a fictional character on The Bold and the Beautiful...
 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 spectra
Spectra

spectrum are conditions or values that vary over a continuum.Spectra may also refer to:* Sally Spectra, a fictional character on The Bold and the Beautiful...
.

Photogrammetry
Photogrammetry is a measurement technique for which the co-ordinates of the points in 3D
Three-dimensional space

Three-dimensional space is a geometric model of the physical universe in which we live. The three dimensions are commonly called length, width, and depth , although any three mutually perpendicular directions can serve as the three dimensions....
 of an object are determined by the measurements made in two photographic image
Image

An image is an artifact, usually two-dimensional , that has a similar appearance to some subject —usually a physical object or a person....
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 (optics)

In optics, a ray is an idealized narrow beam of light. Rays are used to model the propagation of light through an optical system, by dividing the real light field up into discrete rays that can be computationally propagated through the system by the techniques of Ray tracing ....
) can be built from the camera location to the point on the object. It is the intersection of its rays (triangulation
Triangulation

In trigonometry and geometry, triangulation is the process of determining the location of a point by measuring angles to it from known points at either end of a fixed baseline, rather than measuring distances to the point directly....
) 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 algorithm
Algorithm

In mathematics, computing, linguistics and related subjects, an algorithm is a sequence of finite instructions, often used for calculation and data processing....
s 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).

Radar and sonar
Satellite radar
Radar

Radar is a system that uses electromagnetic radiation waves to identify the range, altitude, direction, or speed of both moving and fixed objects such as aircraft, ships, motor vehicles, weather formations, and terrain....
 mapping is one of the major techniques of generating Digital Elevation Models (see below). Similar techniques are applied in bathymetric
Bathymetry

Bathymetry is the study of underwater depth, of the third dimension of lake or ocean floors. In other words, bathymetry is the underwater equivalent to hypsometry....
 surveys using sonar
Sonar

Sonar is a technique that uses sound propagation to navigation, communicate with or detect other vessels. There are two kinds of sonar: active and passive....
 to determine the terrain of the ocean floor. In recent years, LIDAR
LIDAR

LIDAR is an optical remote sensing technology that measures properties of scattered light to find range and/or other information of a distant target....
 (Light Detection and Ranging), a remote sensing technique using 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
Triangulated irregular network

A triangulated irregular network is a digital data structure used in a geographic information system for the representation of a surface. A TIN is a Array based representation of the physical land surface or sea bottom, made up of irregularly distributed vertex and lines with dimension coordinates that are arranged in a network of nonover...
 or TIN) or gridded (Raster image) 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 geostatistics
Geostatistics

Geostatistics is a branch of geology that deals with the analysis of mining processes through mathematical models. Evolved originally in the exploration of minerals, ores, and coals, it is currently applied in disciplines such as petroleum geology, hydrogeology, hydrology, meteorology, oceanography, geochemistry, geography, forestry, environm...
, 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 Surface Model (also known as a digital elevation model
Digital elevation model

A digital elevation model is a digital representation of ground surface topography or terrain. It is also widely known as a digital terrain model ....
). 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
LIDAR

LIDAR is an optical remote sensing technology that measures properties of scattered light to find range and/or other information of a distant target....
 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
Boundary (topology)

In topology, the boundary of a subset S of a topological space X is the set of points which can be approached both from S and from the outside of S....
 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

In its contemporary definition, topographic mapping shows relief. In the United States, USGS topographic maps show relief using contour lines. 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
Water

Water is a common chemical substance that is essential for the survival of all known forms of life. In typical usage, water refers only to its liquid form or States of matter, but the substance also has a solid state, ice, and a gaseous state, water vapor or steam....
, forest
Forest

File:Stara planina suma.jpgA forest is an area with a high density of trees. There are many definitions of a forest, based on various criteria....
 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 generally 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

Topographic mapping should not be confused with Geologic map
Geologic map

A geologic map or geological map is a special-purpose map made to show geological features.The stratigraphic contour lines are drawn on the surface of a selected deep stratum, so that they can show the topographic trends of the strata under the ground....
ping. The latter is concerned with underlying structures and processes to the surface, rather than with identifiable surface features.

Digital elevation modeling

Mtm 05277e 3d
The digital elevation model (DEM) is a raster
Raster

Raster may refer to:* Raster graphics, graphical techniques using arrays of pixel values* Raster scan, the pattern of image readout, transmission, storage, and reconstruction in television and computer images...
-based digital
Digital

A digital system uses discrete values, usually but not always symbolized numerically to represent information for input, processing, transmission, storage, etc....
 dataset of the topography (hypsometry
Hypsometry

Hypsometry is the measurement of land elevation relative to sea level. Bathymetry is the underwater equivalent. A hypsometer is an instrument used in hypsometry, which estimates the elevation by boiling water - water boils at different temperatures depending on the altitude, and thus the pressure....
 and/or bathymetry
Bathymetry

Bathymetry is the study of underwater depth, of the third dimension of lake or ocean floors. In other words, bathymetry is the underwater equivalent to hypsometry....
) of all or part of the Earth (or a telluric planet). 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
Radar

Radar is a system that uses electromagnetic radiation waves to identify the range, altitude, direction, or speed of both moving and fixed objects such as aircraft, ships, motor vehicles, weather formations, and terrain....
 or sonar
Sonar

Sonar is a technique that uses sound propagation to navigation, communicate with or detect other vessels. There are two kinds of sonar: active and passive....
 data.

Topological modeling

A geographic information system
Geographic Information System

A geographic information system captures, stores, analyzes, manages, and presents data that refers to or is linked to location.In the strictest sense, the term describes any Information systems that integrates, stores, edits, analyzes, shares, and displays georeference information....
 (GIS) can recognize and analyze the spatial relationships that exist within digitally stored spatial data. These topological relationships allow complex spatial modelling
Model (abstract)

In mathematical logic, the formal languages, formal systems, and theory which are studied have no meaningful content until they are given an interpretation within some other system....
 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
Neuroscience

Neuroscience is a field devoted to the scientific study of the nervous system. The Society for Neuroscience was founded in 1969, but the study of the brain started a long time ago....
, the neuroimaging
Neuroimaging

Neuroimaging includes the use of various techniques to either directly or indirectly imaging the neuroanatomy, function/pharmacology of the brain....
 discipline uses techniques such as EEG topography
EEG topography

EEG topography is a neuroimaging technique in which a large number of electroencephalography electrodes are placed onto the head, following a geometrical array of even-spaced points....
 for brain mapping
Brain mapping

Brain mapping is a set of neuroscience techniques predicated on the mapping of quantities or properties onto spatial representations of the brain resulting in maps....
. In ophthalmology
Ophthalmology

Ophthalmology is the branch of medicine which deals with the Eye diseases and Eye surgery of the visual pathways, including the eye, brain, and areas surrounding the eye, such as the lacrimal system and eyelids....
, corneal topography
Corneal topography

Corneal topography, also known as photokeratoscopy or videokeratography, is a Non-invasive medical imaging technique for mapping the surface curvature of the cornea, the outer structure of the eye....
 is used as a technique for mapping the surface curvature of the cornea
Cornea

The cornea is the transparency front part of the eye that covers the Iris , pupil, and anterior chamber. Together with the cilliary muscles, the cornea reflects light, and as a result helps the eye to dilate, accounting for approximately two-thirds of the eye's total optical power....
.

Gray1224
In human anatomy
Human anatomy

Human anatomy, which, with physiology and biochemistry, is a complementary basic medical science is primarily the scientific study of the morphology of the adult human body....
, topography is superficial human anatomy.

See also

  • Cartography
    Cartography

    File:Mediterranean chart fourteenth century2.jpgCartography is the study and practice of making Geography Map. Combining science, aesthetics, and technique, cartography builds on the premise that we can model reality in ways that communicate spatial information effectively....
  • Topography as the study of place
    Topography as the study of place

    Starting in ancient Greece, places have been described in topography , and an author of such writing has been called a topographer . Greek and Roman topographers provide much of the basis of modern reconstructions of the fabric of the cities of Classical times, and especially that of Rome....
  • Geomorphology
    Geomorphology

    Geomorphology is the scientific study of landforms and the processes that shape them. Geomorphologists seek to understand why landscapes look the way they do: to understand landform history and dynamics, and predict future changes through a combination of field observation, physical experiment, and numerical mathematical model....