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Variational Design and Fairing of Spline Surfaces
Author(s) -
Greiner Günther
Publication year - 1994
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.1330143
Subject(s) - computer science , parametric surface , parametric design , parametric statistics , mathematical optimization , quality (philosophy) , spline (mechanical) , energy functional , mathematics , mathematical analysis , mechanical engineering , physics , statistics , quantum mechanics , engineering
Variational principles have become quite popular in the design of free form surfaces. Among others they are used for fairing purposes. The choice of the ‘right’ fairness functional is a crucial step. There is always a tradeoff between high quality and computational effort. In this paper we present fairness functionals that allow fairing efficiently, i.e., produce high quality surfaces in a reasonable amount of time. These functionals can be considered as simplified thin plate energy functionals for parametric surfaces or as simplified MVC functionals.