使用移动曲线和曲面的隐式化

Proceedings of the 22nd annual conference on Computer graphics and interactive techniques Pub Date : 1995-09-15 DOI:10.1145/218380.218460

T. Sederberg, Falai Chen

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引用次数: 214

摘要

本文提出了一种全新的方法来解决已有百年历史的参数曲面隐式方程的计算问题。对于没有基点的曲面，新方法将隐式方程表示为基于Dixon结式的传统表达式的四分之一大小的行列式。如果基点确实存在，以前的隐式方法要么失败，要么变得更加复杂，而新方法实际上简化了。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Implicitization using moving curves and surfaces

This paper presents a radically new approach to the century old problem of computing the implicit equation of a parametric surface. For surfaces without base points, the new method expresses the implicit equation in a determinant which is one fourth the size of the conventional expression based on Dixon’s resultant. If base points do exist, previous implicitization methods either fail or become much more complicated, while the new method actually simplifies.

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Proceedings of the 22nd annual conference on Computer graphics and interactive techniques

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