基于变分水平集的三维模型复杂孔洞修复

摘要

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.%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.