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FILLING HOLES IN TRIANGULAR MESHES USING DIGITAL IMAGES BY CURVE UNFOLDING

    https://doi.org/10.1142/S0218654310001328Cited by:2 (Source: Crossref)
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    Abstract

    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. When embedding the triangular mesh, any energy function can be used to estimate the missing data. We use a variational multi-view approach to estimate the missing data. 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.

    Partial results of this work appeared in the 3-D Digital Imaging and Modeling Conference 2007 [A. Brunton, S. Wuhrer, C. Shu, Image-Based Model Completion, 3DIM 2007] and in the IEEE International Conference on Shape Modeling and Applications 2009 [A. Brunton, S. Wuhrer, C. Shu, P. Bose, E. D. Demaine, Filling Holes in Triangular Meshes by Curve Unfolding, SMI 2009].

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