Repair Methods of Complex Holes in a Three-Dimensional Model Based on Variation Level Set

摘要

With regard to the numerous complex holes that accompany a three-dimensional (3D) model reconstruction, a hole-repair method is proposed in this paper. First, signed distance function (SDF) is constructed, and the curved surface where the hole is positioned is expressed by a static SDF. Another dynamic SDF is used to express the initial curved surface. Using a variation level set on implicit surfaces, we introduce a global convex optimization energy model to perform minimum inducement, thus turning the problem of extracting the hole edge into a problem of spherical evolution of a hidden surface. Finally, we consider the extracted hole-edge surface as the initial observation surface and complete the hole repair using convolution and synthesis. The experiment shows that this algorithm can effectively restore notable geometrical features of areas with complex holes and can repair the holes in a model with many grids.