Abstract

We present an effective method for filling holes in 3D triangular meshes based on the direct solution of Laplace and biharmonic partial differential equations. Initial mesh required for the triangulation of the hole region is computed by using a hybrid method that combines 2D triangular mesh generation and biharmonic-spline surface fitting. Experimental results carried out on several digital models data sets as well as artificially generated holes in analytical geometrical shapes. These results demonstrate and that the proposed approach is accurate and effective in filling triangular mesh holes of different sizes and shapes.

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