Filling holes in triangular meshes by curve unfolding
Author(s)Brunton, Alan; Wuhrer, Stefanie; Shu, Chang; Bose, Prosenjit; Demaine, Erik D.
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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 Ropf[superscript 3]. 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.
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
IEEE International Conference on Shape Modeling and Applications, 2009. SMI 2009.
Institute of Electrical and Electronics Engineers
Brunton, A. et al. “Filling holes in triangular meshes by curve unfolding.” Shape Modeling and Applications, 2009. SMI 2009. IEEE International Conference on. 2009. 66-72. © 2009 IEEE
Final published version
Object Modeling, Hole Filling, Curve Unfolding, Computational Geometry