Polyhedral Surface Modeling with a Diffusion System

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Date
1997
Journal Title
Journal ISSN
Volume Title
Publisher
Blackwell Publishers Ltd and the Eurographics Association
Abstract
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.
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@article{
10.1111:1467-8659.00140
, journal = {Computer Graphics Forum}, title = {{
Polyhedral Surface Modeling with a Diffusion System
}}, author = {
Kuriyama, Shigeru
and
Tachibana, Keihachiro
}, year = {
1997
}, publisher = {
Blackwell Publishers Ltd and the Eurographics Association
}, ISSN = {
1467-8659
}, DOI = {
10.1111/1467-8659.00140
} }
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