Generation of Smooth Surfaces by Controlling Curvature Variation
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Date
1996
Journal Title
Journal ISSN
Volume Title
Publisher
Blackwell Science Ltd and the Eurographics Association
Abstract
To satisfy a designer s intention for constructing aesthetic shapes such as automotive bodies, we propose a surface generation method. In the surface design process, designers determine shapes according to their great concern for the reflected images of vehicle surroundings, shade lines and highlight lines. Since reflection and shading are affected by changes of surface normal, the curvature variation of the surface, which represents the change of the surface normal, should be smooth and distributed as designers want. The proposed method controls curvature distribution directly by determining a surface shape from an evolute, which is a locus of the curvature center of the generatrix and moves along directrices to form the surface. It first generates evolutes of boundary curves to be generatrices as rational Bezier curves, then interpolates their shapes with the Bezier polygons, and locates the interpolated shape to the corresponding position of the directrices. By applying this method, we have confirmed that a smooth shape is generated from four boundary curves.
Description
@article{10.1111:1467-8659.1530187,
journal = {Computer Graphics Forum},
title = {{Generation of Smooth Surfaces by Controlling Curvature Variation}},
author = {Higashi, Masatake and Tsutamori, Hideo and Hosaka, Mamoru},
year = {1996},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1530187}
}