Digital Geometry Processing (1)

Some definitions:

  1. FIG vertices and edges is

  2. The degree of vertex (degree of vertex): the number of edges to this point as the vertex.

  FIG 3. is a communication (connective): any two vertices, edges there is a path linking them

  4.G 'is a subgraph of G: G' vertex set is a subset of a set of vertices of G, a set of edges in G 'is G in the side of the subset of the set.

  5. FIG embedded R & lt D space (Embedded in R & lt D ), each vertex in FIG R & lt D has a coordinate space.

  6. The plan view of (planar graph): FIG vertices and edges may be embedded R & lt 2 space, his side are disjoint. Each plan can be represented by a straight line plan (straight-line plane graph).

  7. Triangulation: is straight all the faces of the triangular plan.

  8.Delauney Triangulation: any of a circumcircle of the triangle does not contain other vertex.

  9. mesh (Mesh): R & lt . 3 embedded in a straight line in FIG.

  10. The boundary edge (Boundary edge): Only a surface adjacent the edge.

  11. Conventional edge (regular edge): There are two sides adjacent the surface.

  12. Singular (singular edge): more than two adjacent side edges.

  13. Grid closed (closed mesh): free boundary edge of the grid.

  14. The grid manifold (manifold mesh): Singular free mesh.

  15. Euler's formula:

    v+f-e=2(c-g)-b

  16. The direction of the plane defined by the right hand or left-hand rule rule definition also defines surface normal.

  FIG 17 is a straight line oriented (orientability): can select the direction of each face of the graph, such that each side has two directions. Möbius strip or Klein bottle is non-directional.

  18. developable grid: mesh may be embedded in R & lt 2 twist does not occur.

  

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Origin www.cnblogs.com/picturesqueillusion/p/11598711.html