Free-form deformation of solid geometric models
Free-form deformation of solid geometric models
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DOI：
10.1145/15922.15903
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发表时间：
1986-08
期刊：
影响因子：
--
通讯作者：
T. Sederberg;S. Parry
中科院分区：
文献类型：
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作者：
T. Sederberg;S. Parry
提出了一种对实体几何模型进行自由变形的技术。该技术可用于任何实体造型系统，如CSG或B-rep。它可以变形任何类型或次数的曲面基本体：例如平面、二次曲面、参数曲面片或隐式定义的曲面。变形可以全局应用，也可以局部应用。局部变形可以以任何所需的导数连续性程度施加。还可以使实体模型变形，使其体积保持不变。该方案基于三变量Bernstein多项式，为设计者提供了对其效果的直观评价。
A technique is presented for deforming solid geometric models in a free-form manner. The technique can be used with any solid modeling system, such as CSG or B-rep. It can deform surface primitives of any type or degree: planes, quadrics, parametric surface patches, or implicitly defined surfaces, for example. The deformation can be applied either globally or locally. Local deformations can be imposed with any desired degree of derivative continuity. It is also possible to deform a solid model in such a way that its volume is preserved.The scheme is based on trivariate Bernstein polynomials, and provides the designer with an intuitive appreciation for its effects.