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  2. Edge loop - Wikipedia

    en.wikipedia.org/wiki/Edge_loop

    Edge loops are especially practical in organic models which need to be animated. In organic modeling, edge loops play a vital role in proper deformation of the mesh. [2] A properly modeled mesh will take into careful consideration the placement and termination of these edge loops. Generally, edge loops follow the structure and contour of the ...

  3. Euler operator (digital geometry) - Wikipedia

    en.wikipedia.org/wiki/Euler_operator_(digital...

    In solid modeling and computer-aided design, the Euler operators modify the graph of connections to add or remove details of a mesh while preserving its topology. They are named by Baumgart [1] after the Euler–Poincaré characteristic. He chose a set of operators sufficient to create useful meshes, some lose information and so are not invertible.

  4. Blender (software) - Wikipedia

    en.wikipedia.org/wiki/Blender_(software)

    The Blender Studio platform, launched in March 2014 as Blender Cloud, [161] [162] [163] is a subscription-based cloud computing platform where members can access Blender add-ons, courses and to keep track of the production of Blender Studio's open movies. [164] It is currently operated by the Blender Studio, formerly a part of the Blender ...

  5. Multigraph - Wikipedia

    en.wikipedia.org/wiki/Multigraph

    A multigraph with multiple edges (red) and several loops (blue). Not all authors allow multigraphs to have loops. In mathematics, and more specifically in graph theory, a multigraph is a graph which is permitted to have multiple edges (also called parallel edges [1]), that is, edges that have the same end nodes. Thus two vertices may be ...

  6. Multiple edges - Wikipedia

    en.wikipedia.org/wiki/Multiple_edges

    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. A simple graph has no multiple edges and no loops.

  7. Edge contraction - Wikipedia

    en.wikipedia.org/wiki/Edge_contraction

    Contracting an edge without creating multiple edges. As defined below, an edge contraction operation may result in a graph with multiple edges even if the original graph was a simple graph. [2] However, some authors [3] disallow the creation of multiple edges, so that edge contractions performed on simple graphs always produce simple graphs.

  8. Polygonal modeling - Wikipedia

    en.wikipedia.org/wiki/Polygonal_modeling

    The subdivide tool splits faces and edges into smaller pieces by adding new vertices. For example, a square would be subdivided by adding one vertex in the center and one on each edge, creating four smaller squares. The extrude tool is applied to a face or a group of faces. It creates a new face of the same size and shape which is connected to ...

  9. Loop (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Loop_(graph_theory)

    In graph theory, a loop (also called a self-loop or a buckle) is an edge that connects a vertex to itself. A simple graph contains no loops. Depending on the context, a graph or a multigraph may be defined so as to either allow or disallow the presence of loops (often in concert with allowing or disallowing multiple edges between the same ...