mapping into a sphere

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• Mapping class group — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… …   Wikipedia

• Sphere mapping — In computer graphics, sphere mapping is a technique that takes a two dimensional texture coordinate and returns a texel from a texture map that is painted (or photographed) to resemble what a mirrored sphere would look like if placed into a… …   Wikipedia

• Sphere packing — In mathematics, sphere packing problems are problems concerning arrangements of non overlapping identical spheres which fill a space. Usually the space involved is three dimensional Euclidean space. However, sphere packing problems can be… …   Wikipedia

• Reflection mapping — An example of reflection mapping. In computer graphics, environment mapping, or reflection mapping, is an efficient Image based lighting technique for approximating the appearance of a reflective surface by means of a precomputed texture image.… …   Wikipedia

• Riemann sphere — The Riemann sphere can be visualized as the complex number plane wrapped around a sphere (by some form of stereographic projection – details are given below). In mathematics, the Riemann sphere (or extended complex plane), named after the 19th… …   Wikipedia

• Cube mapping — The lower left image shows a scene with a viewpoint marked with a black dot. The upper image shows the net of the cube mapping as seen from that viewpoint, and the lower right image shows the cube superimposed on the original scene. In computer… …   Wikipedia

• Riemann mapping theorem — In complex analysis, the Riemann mapping theorem states that if U is a simply connected open subset of the complex number plane Bbb C which is not all of Bbb C, then there exists a biholomorphic (bijective and holomorphic) mapping f, from U, onto …   Wikipedia

• UV mapping — is a 3D modeling process of making a 2D image representing a 3D model. The map transforms the 3D object onto an image known as a texture. In contrast to X , Y and Z , which are the coordinates for the original 3D object in the modeling space, U… …   Wikipedia

• Texture mapping — Texture maps redirects here. For the 2003 ambient album, see Texture Maps: The Lost Pieces Vol. 3. 1 = 3D model without textures 2 = 3D model with textures Texture mapping is a method for adding detail, surface texture (a bitmap or raster image) …   Wikipedia

• Photon mapping — In computer graphics, photon mapping is a two pass global illumination algorithm developed by Henrik Wann Jensen that solves the rendering equation. Rays from the light source and rays from the camera are traced independently until some… …   Wikipedia

• Homotopy groups of spheres — In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples of topological invariants, which reflect, in algebraic terms, the structure… …   Wikipedia