distance-preserving mapping
1Normal mapping — used to re detail simplified meshes. In 3D computer graphics, normal mapping, or Dot3 bump mapping , is a technique used for faking the lighting of bumps and dents. It is used to add details without using more polygons. A common use of this… …
2Decoherence-free subspaces — A decoherence free subspace (DFS) is a subspace of a system s Hilbert space that is invariant to non unitary dynamics. Alternatively stated, they are a small section of the system Hilbert space where the system is decoupled from the environment… …
3Lie group — Lie groups …
4Isometry — For the mechanical engineering and architecture usage, see isometric projection. For isometry in differential geometry, see isometry (Riemannian geometry). In mathematics, an isometry is a distance preserving map between metric spaces. Geometric… …
5Map projection — A medieval depiction of the Ecumene (1482, Johannes Schnitzer, engraver), constructed after the coordinates in Ptolemy s Geography and using his second map projection A map projection is any method of representing the surface of a sphere or other …
6Nonlinear dimensionality reduction — High dimensional data, meaning data that requires more than two or three dimensions to represent, can be difficult to interpret. One approach to simplification is to assume that the data of interest lies on an embedded non linear manifold within… …
7analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …
8Life Sciences — ▪ 2009 Introduction Zoology In 2008 several zoological studies provided new insights into how species life history traits (such as the timing of reproduction or the length of life of adult individuals) are derived in part as responses to… …
9Self-organizing map — A self organizing map (SOM) is a type of artificial neural network that is trained using unsupervised learning to produce a low dimensional (typically two dimensional), discretized representation of the input space of the training samples, called …
10Stereographic projection — In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point mdash; the projection point. Where it is defined, the mapping is …
