Radial supershapes for solid modeling

Yohan D. Fougerolle, Andrei Gribok, Sebti Foufou, Frédéric Truchetet, Mongi A. Abidi

    Research output: Contribution to journalArticle

    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.

    Original languageEnglish (US)
    Pages (from-to)238-243
    Number of pages6
    JournalJournal of Computer Science and Technology
    Volume21
    Issue number2
    DOIs
    StatePublished - Mar 1 2006

    Fingerprint

    Solid Modeling
    Implicit Function
    Zero set
    Computer aided design
    Model
    Range of data

    Keywords

    • Implicit surface
    • Solid modeling
    • Superquadrics
    • Supershape

    ASJC Scopus subject areas

    • Software
    • Theoretical Computer Science
    • Hardware and Architecture
    • Computer Science Applications
    • Computational Theory and Mathematics

    Cite this

    Fougerolle, Y. D., Gribok, A., Foufou, S., Truchetet, F., & Abidi, M. A. (2006). Radial supershapes for solid modeling. Journal of Computer Science and Technology, 21(2), 238-243. https://doi.org/10.1007/s11390-006-0238-y

    Radial supershapes for solid modeling. / Fougerolle, Yohan D.; Gribok, Andrei; Foufou, Sebti; Truchetet, Frédéric; Abidi, Mongi A.

    In: Journal of Computer Science and Technology, Vol. 21, No. 2, 01.03.2006, p. 238-243.

    Research output: Contribution to journalArticle

    Fougerolle, YD, Gribok, A, Foufou, S, Truchetet, F & Abidi, MA 2006, 'Radial supershapes for solid modeling', Journal of Computer Science and Technology, vol. 21, no. 2, pp. 238-243. https://doi.org/10.1007/s11390-006-0238-y
    Fougerolle YD, Gribok A, Foufou S, Truchetet F, Abidi MA. Radial supershapes for solid modeling. Journal of Computer Science and Technology. 2006 Mar 1;21(2):238-243. https://doi.org/10.1007/s11390-006-0238-y
    Fougerolle, Yohan D. ; Gribok, Andrei ; Foufou, Sebti ; Truchetet, Frédéric ; Abidi, Mongi A. / Radial supershapes for solid modeling. In: Journal of Computer Science and Technology. 2006 ; Vol. 21, No. 2. pp. 238-243.
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