Function Representation of Solids Reconstructed from Scattered Surface Points and Contours
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Date
1995
Journal Title
Journal ISSN
Volume Title
Publisher
Blackwell Science Ltd and the Eurographics Association
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.
Description
@article{10.1111:1467-8659.1440181,
journal = {Computer Graphics Forum},
title = {{Function Representation of Solids Reconstructed from Scattered Surface Points and Contours}},
author = {Savchenko, Vladimir V. and Pasko, Alexander A. and Okunev, Oleg G. and Kunii, Tosiyasu L.},
year = {1995},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1440181}
}