| 摘要: |
| 给出了一个新的基于任意多面体网格骨架的构造性自由曲面造型算法.算法首先由每个给定骨架构造出一个距离场,然后利用隐函数光滑过渡技术和CSG(constructive solid geometry)表示技术将所构造的隐式曲面自由地两两粘合成一张光滑曲面.隐式曲面的多边形化算法则用来生成最终曲面网格.以任意骨架作为基本体素,突破了传统隐式曲面以点为基本骨架的限制.而且，距离曲面很好地逼近了原骨架形状,使用户可直观地对复杂曲面进行交互设计.而形变函数的引入,则极大地丰富了此方法的造型能力.实验结果表明,基于该算法的原型系统能够方便、直观地构造复杂的自由曲面. |
| 关键词: 距离曲面,隐式曲面,自由曲面,CSG(constructive solid geometry)树,曲面造型. |
| DOI： |
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| 基金项目:本文研究得到国家杰出青年基金(No.69925204)、香港研究资助局(RGC)合作研究中心项目基金和高等学校骨干教师基金资助. |
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| Implicit Surface Modeling Based on General Skeletons |
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FANG Xiang,BAO Hu-jun,HENG Pheng-ann,PENG Qun-sheng
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| Abstract: |
| A novel constructive algorithm is presented to model free-form surfaces based on general skeletons in this paper. Each skeleton is first used to construct a distance field, then a smooth implicit surface is generated by using the implicit function blending and CSG (constructive solid geometry) representation technique. The final surface mesh is achieved by polygonizing the implicit function. By using the general skeletons as primitives, the authors break the limitation of traditional implicit method which uses points as primitives. The distance surface fits the shape of the original skeleton well, which makes users be able to interactively design complex surfaces intuitively. Furthermore, the introduced warping function greatly enriches the modeling means. The experimental results demonstrate that the prototype system based on this algorithm can conveniently and intuitively construct complex free-form surfaces. |
| Key words: Distance surface, implicit surface, free-form surface, CSG (constructive solid geometry) tree, surface modeling. |
