变化网格通过光滑卷轴数量进行抵消.
IEEE transactions on visualization and computer graphics
|November 27, 2025
概括
本研究介绍了表面网 compensating 的变化框架,结合隐式和显式方法. 该方法增强了形状控制,并减少了形状建模应用的交叉问题.
科学领域:
- 计算机图形 计算机图形
- 计算几何学的计算几何学
- 几何建模 几何建模
背景情况:
- 表面网格偏移对于形状建模至关重要,但与交叉缺陷 (隐式方法) 或自我交叉 (显式方法) 面临挑战.
- 现有的方法努力平衡强度与十字路口问题,精确的形状控制,如保留利的特征.
研究的目的:
- 开发一种新的表面网 compensating 的变化框架,它结合了隐式和显式方法的优势.
- 为了实现灵活的形状控制,包括保持利的特征和坚持特定的表面类型 (例如四边形),同时减轻交叉问题.
主要方法:
- 提出了一个变化框架,将网状顶点位置视为变量,并使用一个光滑的卷积数字段.
- 定义了一个客观函数,强制要求输入网格位于由结果网格诱导的场的偏移轮上.
- 形状规范化,如利的特征保存和交叉点处罚,都被纳入了优化问题中.
主要成果:
- 提出的方法成功地抵消了网格,同时保留了原始形状的利特征.
- 它允许将特定的网状部分限制在四边形表面.
- 该框架有效地缓解了传统抵消技术固有的交叉问题.
结论:
- 变化框架为表面网格抵消提供了强大而通用的解决方案.
- 它结合了隐式和显式方法的优势,提供了卓越的形状控制和交叉处理.
- 由于场区分能力的数值友好性,可以促进实际实施和进一步开发.
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