In this paper, a volume parametric model is computed from a piecewise smooth skeleton. Generating a volume model from a stick figure S defined in 3D is an intuitive process: given S whose topology is a pseudo-graph and whose edges are embedded as Bézier curves in ${\mathbb{R}}^3$, we propose a method for creating a thick volume parametric model “around” S. The volume model we generate is based on semi-simploidal sets, which guarantees a proper topology and provides a 3D parametric domain for Bézier spaces. This volume is a continuous piecewise Bézier representation which boundary corresponds to a B-Rep made of tensor product Bézier patches.

中文翻译：

---

管状参数化体积对象：加厚分段平滑3D棒形图

在本文中，从分段光滑骨架计算出体积参数模型。从3D中定义的棒形图S生成体积模型是一个直观的过程：给定S，其拓扑结构是伪图，并且其边缘作为贝塞尔曲线嵌入${\mathbb{[R}}^3$，我们提出了一种用于在“ S ”附近创建厚体积参数模型的方法。我们生成的体积模型基于半单形集，这保证了正确的拓扑并为Bézier空间提供了3D参数域。该体积是连续的分段Bézier表示，其边界对应于由张量积Bézier面片组成的B-Rep。