piecewise regular
11Volume rendering — is a technique used to display a 2D projection of a 3D discretely sampled data set.A typical 3D data set is a group of 2D slice images acquired by a CT or MRI scanner.Usually these are acquired in a regular pattern (e.g., one slice every… …
12Abstract polytope — In mathematics, an abstract polytope is a combinatorial structure with properties similar to those shared by a more classical polytope. Abstract polytopes correspond to the structures of polygons, polyhedra, tessellations of the plane and higher… …
13Interpolation — In the mathematical subfield of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. In engineering and science one often has a number of data points, as obtained… …
14Radiosity — is a global illumination algorithm used in 3D computer graphics rendering. Radiosity is an application of the finite element method to solving the rendering equation for scenes with purely diffuse surfaces. Unlike Monte Carlo algorithms (such as… …
15Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more …
16Causal dynamical triangulation — Beyond the Standard Model Standard Model …
17Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …
18Dehn's lemma — In mathematics Dehn s lemma asserts that a piecewise linear map of a disk into a 3 manifold, with the map s singularity set in the disc s interior, implies the existence of another piecewise linear map of the disc which is an embedding and is… …
19Multivariate interpolation — In numerical analysis, multivariate interpolation or spatial interpolation is interpolation on functions of more than one variable. The function to be interpolated is known at given points and the interpolation problem consist of yielding values… …
20Handshaking lemma — In this graph, an even number of vertices (the four vertices numbered 2, 4, 5, and 6) have odd degrees. The sum of the degrees of the vertices is 2 + 3 + 2 + 3 + 3 + 1 = 14, twice the… …
