Modeling on triangulations with geodesic curves

@article{Morera2008ModelingOT,
  title={Modeling on triangulations with geodesic curves},
  author={Dimas Mart{\'i}nez Morera and Paulo Cezar Pinto Carvalho and Luiz Velho},
  journal={The Visual Computer},
  year={2008},
  volume={24},
  pages={1025-1037}
}
This paper discusses the problem of modeling on triangulated surfaces with geodesic curves. In the first part of the paper we define a new class of curves, called geodesic Bézier curves, that are suitable for modeling on manifold triangulations. As a natural generalization of Bézier curves, the new curves are as smooth as possible. In the second part we discuss the construction of C 0 and C 1 piecewise Bézier splines. We also describe how to perform editing operations, such as trimming, using… CONTINUE READING
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