“Geodesic Bézier curves on triangle meshes” by Morera, Carvalho and Velho

  • ©Dimas Martinez Morera, Paulo Cezar Pinto Carvalho, and Luiz Velho

  • ©Dimas Martinez Morera, Paulo Cezar Pinto Carvalho, and Luiz Velho

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Title:

    Geodesic Bézier curves on triangle meshes

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Abstract:


    Designing free-form curves is a basic operation in Geometric Modeling. Doing so in Euclidean space is a widely studied problem. The problem becomes harder if we wish to design on a curved geometry, such as triangulated surfaces. In this paper we introduce a new class of curves that are suitable for free-form modeling directly on the geometry of a manifold mesh. Defined by means of the de Casteljau Algorithm, they are a natural generalization of B ́ezier curve.Thus, we call them “Geodesic B ́ezier Curves”.

References:


    1. Martínez, D., Velho, L., Carvalho, P. 2005. Computing geodesics on triangular meshes. Computer and Graphics 29:5, p. 667–675.


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©Dimas Martinez Morera, Paulo Cezar Pinto Carvalho, and Luiz Velho ©Dimas Martinez Morera, Paulo Cezar Pinto Carvalho, and Luiz Velho

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