重量平方体积最小化 (WSVM) 用于生成统一的四面体网格
IEEE transactions on visualization and computer graphics
|July 10, 2025
概括
一个新的加权平方体积最小化 (WSVM) 算法产生高质量的四面体网格. 它优化了元素体积和二面角,以便在3D模型中获得更高的均性和更少的切片.
科学领域:
- 计算几何学计算几何学
- 计算机图形 计算机图形
- 科学可视化科学可视化
背景情况:
- 产生高质量的四面体网格对于各种科学和工程模拟至关重要.
- 现有的方法往往与网格均性和切片元素作斗争,影响模拟准确性.
- 自动化,无参数的网格算法是非常理想的.
研究的目的:
- 介绍一种新的算法,称重平方体积最小化 (WSVM),用于从封闭的三角形网格生成高质量的四面体网格.
- 为了在生成的四面体网格中实现均的元素体积和二面体角.
- 提供全自动和无参数的网格解决方案.
主要方法:
- WSVM使用一种新的能量函数,其基础是四面体元素的权重平方体积.
- 该算法反复地将面向体积和面向二面角的能量最小化.
- 网格连接通过交替的顶点位置优化和代性改进来改进.
主要成果:
- 与现有方法相比,WSVM 始终能够产生四面体网格,并且具有更高的均性.
- 该算法有效地减少了在生成的网格中出现的切片元素的发生.
- 对各种3D模型的评估证实了WSVM生成的网格的高质量.
结论:
- 重量平方体积最小化 (WSVM) 为高质量的四面体网格生成提供了强大的和自动化的方法.
- 该方法控制元素体积和二面角的能力导致了优越的网格质量.
- 对于需要精确高效四面体网格的应用来说,WSVM 是一个显著的进步.
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