Making Trimmed B-Spline B-Reps Watertight With a Hybrid Representation

Yang Song, E. Cohen
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引用次数: 4

Abstract

Watertightness is an important property for CAD models, yet it is not generally available in commercial systems. This paper introduces watertight hybrid B-spline based B-reps that maintain the original parameterization and representation except in narrow regions around trimming curves, where Bézier triangle type regions seal the model. The new representation matches the model space trimming curve exactly. It can be discretized for analysis and fabrication in a straightforward manner without requiring any post modeling repair operations. We apply this representation to mechanical models and more sculptured models to demonstrate small parametric distortion and arbitrarily small geometric error.
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使修剪b样条b代表水密与混合表示
水密性是CAD模型的一个重要特性,但在商业系统中并不普遍。本文引入了基于水密混合b样条的b -表示,除了在修整曲线周围的狭窄区域(其中bsamzier三角形区域封闭模型)外,b -表示保持了原始的参数化和表示。新的表示方法与模型空间的切边曲线相匹配。它可以离散分析和制造在一个直接的方式,而不需要任何后期建模修复操作。我们将这种表示应用于机械模型和更多的雕刻模型,以证明小的参数畸变和任意小的几何误差。
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