Fuzzy Disk Modeling And Rendering of Textured Complex 3d Surfaces of Real Object

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Fuzzy Disk Modeling And Rendering of Textured Complex 3d Surfaces of Real Object
Xue Dong Yang
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1. Polygon Meshes In general, surfaces of complex three-dimensional objects are too complicated to be described by single equations, and therefore a need for piecewise approximation arises. The simpliest possible approximations are piecewise linear, and involve rectangular or triangular faces.
The curved surface of any 3D object can be approximated by a sufficiently detailed polygon mesh. The errors introduced by polygonal approximation can be made arbitrarily small by using more and more polyg
...ons to create a better piecewise approximation.
A variety of detailed schemes for representing polygon meshes is available. Any such mesh is a collection of vertices, edges, and polygons, always involving vertices connected by edges. Three commonly used representations are as follows: • Explicit Polygons. Each polygon is represented by a list of vertex coordinates: P = ((X\. Y\, 2i), (X2. Y2. 22)> ■■■■ (X„. Yn. 2n))- • Polygons Defined by Pointers into a Vertex List. Each vertex in the polygon mesh is stored just once.


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