Piecewise algebraic surface computation and smoothing from a discrete model

Authors:
Jordi Esteve;Pere Brunet;Alvar Vinacua
Affiliations:
Dept. Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Campus Nord, 08034 Barcelona, Catalunya, Spain;Dept. Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Campus Nord, 08034 Barcelona, Catalunya, Spain;Dept. Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Campus Nord, 08034 Barcelona, Catalunya, Spain
Venue:
Computer Aided Geometric Design
Year:
2008

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Abstract

This paper describes a constrained smoothing method for implicit surfaces defined on a voxelization. This method is suitable for computing a closed smooth surface that approximates an initial set of face connected voxels. The implicit surface is defined as the zero-set of a tensor-product uniform cubic Bspline. The smoothing process is based on increasing the Bspline continuity from C^2 to C^3 on the boundary faces of the voxels. The final surface is guaranteed to pierce a predefined subset of voxels.