面向表面补丁的沃罗诺伊图
IEEE transactions on visualization and computer graphics
|March 3, 2025
概括
本研究引入了一种用于从CAD模型中提取精确3D中轴的新方法,通过使用4D超平面切割来克服现有技术的局限性,用于精确的表面补丁沃罗诺伊图.
科学领域:
- 计算机辅助设计 (CAD)
- 计算几何学的计算几何学
- 几何建模 几何建模
背景情况:
- 从多边形CAD模型中提取高保真度3D中间轴是具有挑战性的,因为有网格分离错误.
- 现有的方法往往会产生中轴表面,具有诸如曲边界和非光滑曲线之类的工件.
研究的目的:
- 从CAD模型中开发一个准确和强大的算法,用于从CAD模型中提取3D中轴.
- 解决当前处理网状不完美的方法的局限性,并产生无工件的中间表面.
主要方法:
- 该方法通过构建表面补丁的扩展沃罗诺伊图来计算3D中枢轴.
- 它使用了一种新的4D超平面切割技术,在模型内部的四面体元素中编码线性距离场.
- 这种方法假定每个表面补丁生成器的小范围的线性距离场.
主要成果:
- 与最先进的方法相比,该算法产生了中轴表面,精度显著提高,工件减少.
- 提取的中间轴表现出更光滑的边界和更好的表面质量.
- 该方法也显示了计算偏移表面的潜力.
结论:
- 拟议的4D超平面切割方法为CAD中高保真度3D中轴提取提供了强大的解决方案.
- 这种技术克服了多边形模型离散所带来的挑战,产生了卓越的结果.
- 该算法的能力扩展到偏移表面计算,增强其在几何建模中的实用性.
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