Title :
Surface processing by partial differential equation
Author_Institution :
Univ. Duisburg-Essen, Essen, Germany
Abstract :
Based on continuous surface models one can derive variational problems and geometric evolutions problems for various surface processing applications. In a second step these models can then be discretized by finite element techniques. This concept is demonstrated for surface fairing, surface restoration, surface generation via subdivision, and finally surface parametrization.
Keywords :
computational geometry; finite element analysis; partial differential equations; surface fitting; continuous surface models; finite element techniques; geometric evolutions problems; partial differential equation; surface fairing; surface generation; surface parametrization; surface processing; surface restoration; surface subdivision; variational problems; Anisotropic magnetoresistance; Eigenvalues and eigenfunctions; Finite element methods; Gaussian processes; Geometry; Partial differential equations; Shape; Smoothing methods; Solid modeling; Tensile stress;
Conference_Titel :
Geometric Modeling and Processing, 2004. Proceedings
Print_ISBN :
0-7695-2078-2
DOI :
10.1109/GMAP.2004.1290022
