Radial Supershapes for Solid Modeling |
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Authors: | Yohan D Fougerolle Andrei Gribok Sebti Foufou Frédéric Truchetet Mongi A Abidi |
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Affiliation: | (1) Le2i Lab. UMR CNRS 5158, Université de Bourgogne, 12 rue de la fonderie, 71200 Le Creusot, France;(2) IRIS Lab., The University of Tennessee, Ferris Hall, Knoxville, 37996, TN, U.S.A. |
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Abstract: | In the previous work, an efficient method has been proposed to represent solid objects as multiple combinations of globally deformed supershapes. In this paper, this framework is applied with a new supershape implicit function that is based on the notion of radial distance and results are presented on realistic models composed of hundreds of hierarchically globally deformed supershapes. An implicit equation with guaranteed differential properties is obtained by simple combinations of the primitives~ implicit representations using R-function theory. The surface corresponding to the zero-set of the implicit equation is efficiently and directly polygonized using the primitives,parametric forms. Moreover, hierarchical global deformations are considered to increase the range of shapes that can be modeled. The potential of the approach is illustrated by representing complex models composed of several hundreds of primitives inspired from CAD models of mechanical parts. |
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Keywords: | implicit surface solid modeling superquadrics supershape |
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