不规则网格上的光滑样条曲面

Proceedings of the 21st annual conference on Computer graphics and interactive techniques Pub Date : 1994-07-24 DOI:10.1145/192161.192238

Charles T. Loop

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引用次数: 166

摘要

提出了一种在不规则网格上生成光滑样条曲面的算法。该算法是二次b样条的推广;也就是说，如果一个网格是(局部)规则的，得到的曲面就相当于一条b样条。否则，得到的曲面具有3或4次参数多项式表示。给出了一种将曲面表示为切平面连续三角形贝齐尔块集合的构造。该算法简单、高效，并能生成美观的形状。

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Smooth spline surfaces over irregular meshes

An algorithm for creating smooth spline surfaces over irregular meshes is presented. The algorithm is a generalization of quadratic B-splines; that is, if a mesh is (locally) regular, the resulting surface is equivalent to a B-spline. Otherwise, the resulting surface has a degree 3 or 4 parametric polynomial representation. A construction is given for representing the surface as a collection of tangent plane continuous triangular Be´zier patches. The algorithm is simple, efficient, and generates aesthetically pleasing shapes.

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Proceedings of the 21st annual conference on Computer graphics and interactive techniques

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