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[1] [2] For each vertex in a mesh, a new position is chosen based on local information (such as the position of neighbours) and the vertex is moved there. In the case that a mesh is topologically a rectangular grid (that is, each internal vertex is connected to four neighbours) then this operation produces the Laplacian of the mesh.
In 3D computer graphics software, vertex painting refers to interactive editing tools for modifying vertex attributes directly on a 3D polygon mesh, using painting tools similar to any digital painting application but working in a 3D viewport on a perspective view of a rotated model.
Morph target animation, per-vertex animation, shape interpolation, shape keys, or blend shapes [1] is a method of 3D computer animation used together with techniques such as skeletal animation. In a morph target animation, a "deformed" version of a mesh is stored as a series of vertex positions.
UV texturing is an alternative to projection mapping (e.g., using any pair of the model's X, Y, Z coordinates or any transformation of the position); it only maps into a texture space rather than into the geometric space of the object. The rendering computation uses the UV texture coordinates to determine how to paint the three-dimensional surface.
After the header, the vertex and face data is listed. The vertex list contains position (x,y,z), normals (nx,ny,nz) and texture coordinates (s,t) for each of the 14 vertices. The face list contains the vertex count (4) and the vertex indices for each of the 6 quadrilateral faces.
Consequently, the vertex ordering is usually chosen such that front-facing triangles have clockwise winding, N defined as above is the normal directed outward from the object. In this setup, back-face may be regarded as a test of whether the points in the polygon appear in clockwise or counter-clockwise order when projected onto the screen.
Most attributes of a vertex represent vectors in the space to be rendered. These vectors are typically 1 (x), 2 (x, y), or 3 (x, y, z) dimensional and can include a fourth homogeneous coordinate (w). These values are given meaning by a material description. In real-time rendering these properties are used by a vertex shader or vertex pipeline.
The time complexity of triangulation of an n-vertex polygon with holes has an Ω(n log n) lower bound, in algebraic computation tree models of computation. [1] It is possible to compute the number of distinct triangulations of a simple polygon in polynomial time using dynamic programming , and (based on this counting algorithm) to generate ...