Local surface interpolation with Bézier patches

@article{Shirman1987LocalSI,
  title={Local surface interpolation with B{\'e}zier patches},
  author={Leon A. Shirman and C. S{\'e}quin},
  journal={Comput. Aided Geom. Des.},
  year={1987},
  volume={4},
  pages={279-295}
}
  • Leon A. Shirman, C. Séquin
  • Published 1987
  • Mathematics, Computer Science
  • Comput. Aided Geom. Des.
  • A surface interpolation method for meshes of cubic curves is described. A mesh of cubic curve is constructed between the given vertices. This mesh is filled with Bezier patches, so that the surface is represented as a union of geometrically continuous bicubic quadrilateral and/or quartic triangular Bezier patches. The method is local and uses Farin's [Farin '83] conditions of G^1 continuity between patches. The procedure for finding the needed control points of the Bezier patches is simple and… CONTINUE READING
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