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Polyhedral Surface Modeling with a Diffusion System
Author(s) -
Kuriyama Shigeru,
Tachibana Keihachiro
Publication year - 1997
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 - 10.1111/1467-8659.00140
Subject(s) - curvature , surface (topology) , flexibility (engineering) , computer science , nonlinear system , diffusion , planar , geometry , topology (electrical circuits) , mathematics , computer graphics (images) , combinatorics , physics , statistics , quantum mechanics , thermodynamics
This paper presents a method of generating polyhedral surfaces by using a diffusion system that calculates the positional and normal vectors on their vertices. The system generates smooth shapes that satisfy the minimum norm property, and can be extended to imitate the shape controls of curvature continuous surfaces with bias and tension parameters. The shape of a surface is determined by the stable state of nonlinear and local calculations between vertices, and is easily controlled by adding constraints on arbitrary vertices. Such bottom‐up calculation of surfaces enhances flexibility in the interactive design of complicated free‐form shapes.