基于变分水平集的三维模型复杂孔洞修复  

Repair methods for complex hole of three-dimensional model based on variational level set method

作　　者：张婧[1] 周明全[1] 耿国华[1] Zhang Jing;Zhou Mingquan;Geng Guohua(Engineering Research Center of National&Local Joint for Cultural Heritage Digitization,Northwest University,Xi’an 710127,China)

机构地区：[1]西北大学文化遗产数字化国家地方联合工程研究中心,西安710127

出　　处：《计算机应用研究》2018年第4期1254-1257,共4页Application Research of Computers

基　　金：国家自然科学基金资助项目(61673319)

摘　　要：针对三维模型重建后存在大量复杂孔洞的问题,提出一种孔洞修补算法。首先构造符号距离函数,孔洞所在曲面用静态符号距离函数的零水平集表达,另一动态符号距离函数表示初始曲面;借助隐式曲面上的变分水平集,引入全局凸优化能量模型,通过对其极小化诱导,将提取孔洞边缘的问题转换为维体上隐式曲面的演化过程;最后以提取到的孔洞边缘曲面作为初始观察面,通过卷积和合成两个交替的步骤进行体素扩散完成孔洞修补。实验表明该算法能够有效恢复复杂孔洞区域的显著几何特征,且适用于含有网格较多模型的孔洞修复。As to the numerous complex holes accompanying 3D model reconstruction,this paper proposed an hole-repair method.Firstly,it expressed construct signed sistance function(SDF)and the curved surface where the hole positioned by the static SDF.Another used dynamic SDF to express the initial curved surface.By means of the variational level set on implicit surfaces,introducing global convex optimization energy model to perform minimum inducement,thus turning the problem of extracting the hole edge into the problem of spherical evolution of hidden surface.Finally,it took the extracted hole edge surface as the initial observation surface,and completed hole repairing by convolution and synthesis.The experiment shows that this algorithm can effectively restore the notable geometrical features of areas with complex holes,and can repair the holes in the model with more grids.

关 键 词：符号距离函数 变分水平集方法 卷积合成 体素扩散 孔洞修复 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]