Free-form deformation of solid geometric models

T. Sederberg, S. Parry
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引用次数: 3044

Abstract

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.
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实体几何模型的自由变形
提出了一种以自由形式变形实体几何模型的技术。该技术可用于任何实体建模系统,如CSG或B-rep。它可以变形任何类型或程度的曲面基元:平面,二次曲面,参数曲面贴片,或隐式定义的曲面,例如。变形既可以应用于全局,也可以应用于局部。局部变形可以施加任何期望程度的导数连续性。也有可能使实体模型变形,使其体积保持不变。该方案基于三变量伯恩斯坦多项式,并为设计者提供了对其效果的直观欣赏。
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