Function Representation of Solids Reconstructed from Scattered Surface Points and Contours |
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| Authors: | Vladimir V Savchenko Alexander A Pasko Oleg G Okunev Tosiyasu L Kunii |
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| Affiliation: | Department of Computer Software, The University of Aizu Aza Kami-Iawase 90, Oaza Tsuruga, Ikki machi, Aizu-Wakamatsu City, Fukushima Prefecture 965, Japan |
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| Abstract: | This paper presents a novel approach to the reconstruction of geometric models and surfaces from given sets of points using volume splines. It results in the representation of a solid by the inequality f(x,y,z) ≥ 0. The volume spline is based on use of the Green's function for interpolation of scalar function values of a chosen “carrier” solid. Our algorithm is capable of generating highly concave and branching objects automatically. The particular case where the surface is reconstructed from cross-sections is discussed too. Potential applications of this algorithm are in tomography, image processing, animation and CAD for bodies with complex surfaces. |
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