Title :
Shape Modeling ina Homogenized Geometric Paradigm
Author :
Yamaguch, Fujio ; Yanagase, Yusuke
Author_Institution :
Dept. of Mech. Eng., Waseda Univ., Tokyo
Abstract :
The author proposes replacing the conventional Euclidean processing with homogeneous processing, which is free from the ill effects of division and has the desirable properties of duality and protective invariance. The division operation negatively affects such properties as exactness, robustness, and generality in computer-aided design systems. The author mainly discusses two-types of geometric processing in the homogenized geometric paradigm, i.e., subdivision method in surface design and set operations in solid modeling
Keywords :
computational geometry; solid modelling; Euclidean processing; computer-aided design system; division operation; duality property; homogenized geometric paradigm; protective invariance property; set operation; shape modeling; solid modeling; subdivision method; surface design; Concurrent computing; Design automation; Design methodology; Newton method; Polynomials; Robustness; Shape; Solid modeling; Writing;
Conference_Titel :
Shape Modeling and Applications, 2006. SMI 2006. IEEE International Conference on
Conference_Location :
Matsushima
Print_ISBN :
0-7695-2591-1
DOI :
10.1109/SMI.2006.36
