结构信息约束的三角网格模型简化方法Surface simplification method with structural information constraint
李大军,苟国华,吴天辰,黄九松,惠振阳
摘要(Abstract):
针对经典的二次误差度量边塌陷网简化算法存在的模型边缘缺损、三角面形状和拓扑异常等问题,该文在此基础上改进算法,提出一种基于结构信息约束的网简化方法。算法考虑三角面的形状和法向在边塌陷前后的变化,将这些结构变化信息量化与二次误差度量组成复合塌陷代价值;同时给出一种三角面间压覆检测方法,将检测结果作为边塌陷决定条件之一,以此来保护三角面的形状和三角网的流形拓扑结构;此外,通过重新定义边界点的二次误差矩阵,自适应地提升边界点所在边的塌陷阈值,从而实现在简化过程中对模型边缘的保护。实验结果表明,该文方法得到的简化三角网边缘完整,算法鲁棒地维护最佳三角面形状和流形拓扑结构,有效地改善了重建三维模型的效果。
关键词(KeyWords): 三维重建;网简化;结构信息约束;复合塌陷代价值;二次误差矩阵;三角面间压覆检测
基金项目(Foundation): 国家自然科学基金项目(41801325)
作者(Author): 李大军,苟国华,吴天辰,黄九松,惠振阳
DOI: 10.16251/j.cnki.1009-2307.2021.08.013
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