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    Séminaire LARIS - 15 novembre 2017

    Séminaire LARIS - 15 novembre 2017

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    Séminaire LARIS - Sény Diatta et Guillaume Moroz

    15h à 16h | salle du Conseil B106 | ISTIA

    Le 15 novembre 2017

    Projection of analytic surfaces

    Sény DIATTA1 and Guillaume MOROZ2

    1 Phd student at INRIA Nancy in Gamble Team (formerly Vegas Team)

    2 Researcher at INRIA Nancy in Gamble Team (formerly Vegas Team)


    Abstract:

    For some robotic problems we need to represent a singular surface that is the projection of a smooth surface embedded in higher dimension.
    In this work, we focus on the problem of computing a triangulation of the projection on R^3 of an analytic surface embedded in R^4. Based on Transversality and Singularity Classification theories, we first show that, under generic assumptions, the set of singularities of the projected surface are generated by only three types of multi-germs: 

    • double points, triple points and cross-caps. Then, using this
    • information we design an algorithm taking as input an analytic surface
    • and returning a triangulation isotopic to its projected surface.

    (joint work with Marc Pouget )