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A position (usually in 3D space) along with other information such as color, normal vector and texture coordinates. edge A connection between two vertices. face A closed set of edges, in which a triangle face has three edges, and a quad face has four edges. A polygon is a coplanar set of faces. In systems that support multi-sided faces ...
The software is designed as a laboratory [5] in constant evolution and includes both consolidated algorithms as the 3D morphing and experimental technologies, as the fuzzy mathematics used to handle the relations between human parameters, the non-linear interpolation [6] used to define the age, mass and tone, the auto-modelling engine based on body proportions and the expert system used to ...
T-vertices is a term used in computer graphics to describe a problem that can occur during mesh refinement or mesh simplification. The most common case occurs in naive implementations of continuous level of detail , where a finer-level mesh is "sewn" together with a coarser-level mesh by simply aligning the finer vertices on the edges of the ...
A vertex (plural vertices) in computer graphics is a data structure that describes certain attributes, like the position of a point in 2D or 3D space, or multiple points on a surface. Application to 3D models
Edge colorings are invariant to amalgamation. This is obvious, as all of the edges between the two graphs are in bijection with each other. However, what may not be obvious, is that if is a complete graph of the form +, and we color the edges as to specify a Hamiltonian decomposition (a decomposition into Hamiltonian paths, then those edges also form a Hamiltonian Decomposition in .
To support edge maps, the edges are stored so that v0 = min(v0,v1). A triangle component is defined by a triple of integers hv0,v1,v2i, each integer corresponding to a vertex of the triangle. To support triangle maps, the triangles are stored so that v0 = min(v0,v1,v2). Observe that hv0,v1,v2i and hv0,v2,v1i are treated as different triangles.
Multiple edges joining two vertices. In graph theory, multiple edges (also called parallel edges or a multi-edge), are, in an undirected graph, two or more edges that are incident to the same two vertices, or in a directed graph, two or more edges with both the same tail vertex and the same head vertex.
Contracting the edge between the indicated vertices, resulting in graph G / {uv}. In graph theory, an edge contraction is an operation that removes an edge from a graph while simultaneously merging the two vertices that it previously joined. Edge contraction is a fundamental operation in the theory of graph minors.