Filling holes in triangular meshes by curve unfolding
We propose a novel approach to automatically fill holes in triangulated models. Each hole is filled using a minimum energy surface that is obtained in three steps. First, we unfold the hole boundary onto a plane using energy minimization. Second, we triangulate the unfolded hole using a constrained Delaunay triangulation. Third, we embed the triangular mesh as a minimum energy surface in R3. The running time of the method depends primarily on the size of the hole boundary and not on the size of the model, thereby making the method applicable to large models. Our experiments demonstrate the applicability of the algorithm to the problem of filling holes bounded by highly curved boundaries in large models.
|Computational geometry, Curve unfolding, Hole filling, Object modeling|
|2009 IEEE International Conference on Shape Modeling and Applications, SMI 2009|
Brunton, A. (Alan), Wuhrer, S. (Stefanie), Shu, C. (Chang), Bose, P, & Demaine, E.D. (Erik D.). (2009). Filling holes in triangular meshes by curve unfolding. Presented at the 2009 IEEE International Conference on Shape Modeling and Applications, SMI 2009. doi:10.1109/SMI.2009.5170165