Generation of Smooth Surfaces by Controlling Curvature Variation

dc.contributor.authorHigashi, Masatakeen_US
dc.contributor.authorTsutamori, Hideoen_US
dc.contributor.authorHosaka, Mamoruen_US
dc.date.accessioned2014-10-21T07:43:34Z
dc.date.available2014-10-21T07:43:34Z
dc.date.issued1996en_US
dc.description.abstractTo 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.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume15en_US
dc.identifier.doi10.1111/1467-8659.1530187en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages187-196en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.1530187en_US
dc.publisherBlackwell Science Ltd and the Eurographics Associationen_US
dc.titleGeneration of Smooth Surfaces by Controlling Curvature Variationen_US
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