Radial Supershapes for Solid Modeling
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...
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| Veröffentlicht in: | Journal of computer science and technology 2006-03, Vol.21 (2), p.238-243 |
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| container_title | Journal of computer science and technology |
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| creator | Fougerolle, Yohan D. Gribok, Andrei Foufou, Sebti Truchetet, Frédéric Abidi, Mongi A. |
| description | 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. |
| doi_str_mv | 10.1007/s11390-006-0238-y |
| format | Article |
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| source | SpringerNature Journals; Alma/SFX Local Collection |
| subjects | Computer aided design Computer simulation Deformation Differential equations Implicit equations Mathematical analysis Mathematical models Representations Solid modelling Studies |
| title | Radial Supershapes for Solid Modeling |
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