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 linear mapping - Definition 

Mapping (730 bytes)
1: The word '''mapping''' has several senses:

Photon mapping (3347 bytes)
1: In [[computer graphics]], '''photon mapping''' is a [[global illumination]] algorithm based o...
5: With photon mapping, light packets (photons) are sent out into the sc...
11: Photon mapping is generally a preprocess and is carried out befo...
13: ...mplementation of photon mapping. Although photon mapping was designed to work primarily with ray tracers, ...
17: ...rs/book/ ''Realistic Image Synthesis Using Photon Mapping''] ISBN 1568811470

Fast mapping (1595 bytes)
1: ...le exposure to a given unit of information. Fast mapping is particularly important during [[language acqui...
3: Fast mapping derives its power from the formation of tentative...
5: ...on was first formally observed, and the term fast mapping coined, by [[Harvard]] researchers Susan Carey an...
8: ...iles/fastmapping.pdf Harvard presentation on fast mapping and noun acquisition]
9: ...search/Psychological/EyeTracking/fastmap.cfm Fast Mapping and Vocabulary Expansion]

Normal mapping (4153 bytes)
1: ...le]]) image, the source for the normals in normal mapping is usually a multichannel image (that is, channel...
3: ... varieties: object-space and tangent-space normal mapping. They differ in coordinate systems in which the n...
5: ...t normal, instead of a grayscale image as in bump mapping, was first presented in "Appearance Preserving Si...
10: ==Normal mapping in computer entertainment==
11: ...il of the normal map of a given texture (cf. [[mipmapping]]). Basically, this means that more distant surf...

Texture mapping (1538 bytes)
1: '''Texture mapping''' is a method of adding realism to a [[computer-...
3: ...s card]]s become more powerful, in theory texture mapping becomes less necessary and 3D rendering becomes m...

Network Mapping (1759 bytes)
1: '''Network mapping''' or '''Internet Mapping''' is the study of the physical connectivity of t...
3: ...map of the internet were produced by the Internet Mapping Project and appeared in [[Wired magazine]]. The m...
5: ...hich is attempting to develop a system capable of mapping the internet in a single day.

Bump mapping (1384 bytes)
1: ... rendering|rendered]] is looked up in a [[texture mapping|texture map]] and applied before the illumination...
3: Originally bump mapping was used in rendering programs. Later it came to ...
6: ...e example does not truly show the essence of bump mapping: the extra detail could have been created simply ...
14: * [[Fake bump mapping]]
15: * [[Normal mapping]]

Perceptual mapping (4904 bytes)
1: '''Perceptual mapping''' is a [[graphics]] technique used by [[marketin...

Robotic mapping (3166 bytes)
1: The problem of '''Robotic mapping''' is related to [[cartography]].
8: A good [[algorithm]] in robotic mapping may combine the information from the past, the pr...
28: ...lem is related as [[Simultaneous localization and mapping]] (SLAM).

Displacement mapping (876 bytes)
1: ...[bump mapping]], [[normal mapping]], and [[offset mapping]] where the actual coordinated vertexes of the te...
3: ...f depth and detail to textures which displacement mapping is applied to.

Offset mapping (629 bytes)
1: ... alternative to the [[bump mapping]] and [[normal mapping]] techniques which give greater depth and a rough...
3: ...Next-generation 3D applications may employ offset mapping as new graphics alogrithims are developed.
5: ...et mapping is also a way of faking [[displacement mapping]].

Game mapping (600 bytes)

Squeeze mapping (1153 bytes)
1: ...e mapping''' in [[linear algebra]] is a type of [[linear transformation]] that preserves Euclidean [[area]...
3: For a fixed positive real number ''r'', the mapping
7: is the ''squeeze mapping'' with parameter ''r''. Since
11: ...this reason it is natural to think of the squeeze mapping as a "hyperbolic rotation", as did [[Émile Borel]...
13: ...heir product. Therefore the collection of squeeze mappings forms a [[one-parameter group]] isomorphic to th...

Crime mapping (1193 bytes)
1: Crime mapping is a critical component of crime analysis and the...
3: Mapping crime, using [[Geographic Information Systems|Geo...
5: * [http://www.crimeanalysts.net/ Crime Mapping & Analysis Program - National Law Enforcement Cor...
7: * [http://www.ojp.usdoj.gov/nij/maps/ Mapping & Analysis for Public Safety (MAPS) - National In...

Contraction mapping (1892 bytes)
1: In [[mathematics]], a '''contraction mapping''', or '''contraction''', on a [[metric space]] '...
4: ... the Lipschitz constant is equal to one, then the mapping is said to be ''non-expansive''.
6: More generally, the idea of a contractive mapping can be defined for maps between metric spaces. T...
8: Every contraction mapping is [[Lipschitz continuous]] and hence [[uniformly...
10: ...nt]]. This theorem states that every contraction mapping on a nonempty [[completeness (topology)|complete]...

Information mapping (439 bytes)
1: '''Information mapping''' is a technique of dividing and labeling [[info...
6: Robert E. Horn. <cite>Mapping Hypertext: The Analysis, Organization, and Displa...

Animated mapping (4361 bytes)
3: '''Animated Mapping''' is the application of [[animation]], either co...
9: ...ere developed allowing the growth of animation in mapping. Walter Tobler created one of the first animatio...
12: With the growth of animated mapping came the development of guidelines for creating a...

Mapping class group (2759 bytes)
3: ...n the sub-field of [[geometric topology]], the '''mapping class group'''
4: ...variant of a [[topological space]]. Briefly, the mapping class group is a [[discrete group]] of 'symmetrie...
18: is then the ''mapping class group'' of ''X''. Thus there is a natural ...
22: ... this sequence [[exact sequence|splits]]. If the mapping class group of ''X'' is finite then ''X'' is some...
24: ...n the second paragraph be called the ''extended'' mapping class group.

Simultaneous localization and mapping (1137 bytes)
1: '''Simultaneous localization and mapping''' ('''SLAM''') is a technique used by [[robot]]s...

Object-relational mapping (8268 bytes)
1: ...ional mapping''', more properly called object-SQL mapping, is a [[programming]] technique that links [[SQL ...
29: ...lve this problem by providing software to do this mapping automatically. Given a list of tables in the data...
40: ...eseer.ist.psu.edu/cis?q=object+and+relational+and+mapping+and+database Citations from CiteSeer]
41: ...ects/orpatterns/ Patterns for Object / Relational Mapping and Access Layers]

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "linear mapping".