Parametrization of Closed Surfaces for 3-D Shape Description

@article{Brechbhler1995ParametrizationOC,
  title={Parametrization of Closed Surfaces for 3-D Shape Description},
  author={Christian Brechb{\"u}hler and Guido Gerig and Olaf K{\"u}bler},
  journal={Computer Vision and Image Understanding},
  year={1995},
  volume={61},
  pages={154-170}
}
This paper presents procedures for the explicit parametric representation and global description of surfaces of simply connected 3-D objects. The novel techniques overcome severe limitations of earlier methods (restriction to star-shaped objects 1], constraints on positioning and shape of cross-sections 2, 3], and nonhomogeneous distribution of parameter space). We parametrize the surface by deening a continuous, one-to-one mapping from the surface of the original object to the surface of a… CONTINUE READING
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