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MB-Lab (previously ManuelbastioniLAB) is a free and open-source plug-in for Blender for the parametric 3D modeling of photorealistic humanoid characters. [1] It was developed by the artist and programmer Manuel Bastioni, [a] and was based on his over 15 year experience of 3D graphic projects. [2]
graph intersection: G 1 ∩ G 2 = (V 1 ∩ V 2, E 1 ∩ E 2); [1] graph join: . Graph with all the edges that connect the vertices of the first graph with the vertices of the second graph. It is a commutative operation (for unlabelled graphs); [2] graph products based on the cartesian product of the vertex sets:
The above figure shows the "box-cylinder" as a winged-edge mesh. The total data for an edge consists of 2 vertices (endpoints), 2 faces (on each side), and 4 edges (winged-edge). Rendering of winged-edge meshes for graphics hardware requires generating a Face index list, which is usually done only when the geometry changes.
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.
V a set of vertices or nodes, E a set of edges or lines, r : E → {{x,y} : x, y ∈ V}, assigning to each edge an unordered pair of endpoint nodes. Some authors allow multigraphs to have loops, that is, an edge that connects a vertex to itself, [2] while others call these pseudographs, reserving the term multigraph for the case with no loops. [3]
This method involves deleting (i.e., removing) an edge or arc and possibly joining the remaining vertices incident to that edge or arc to form one vertex. [4] After deleting an edge e from a mixed graph G = (V, E, A) we obtain the mixed graph (V, E – e, A). We denote this deletion of the edge e by G – e.
In graph theory, an adjacent vertex of a vertex v in a graph is a vertex that is connected to v by an edge.The neighbourhood of a vertex v in a graph G is the subgraph of G induced by all vertices adjacent to v, i.e., the graph composed of the vertices adjacent to v and all edges connecting vertices adjacent to v.
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