Parametrization of closed surfaces for 3-D shape description

C. H. Brechbuhler, G. Gerig, O. Kubler

Research output: Contribution to journalArticlepeer-review


A set of procedures for the explicit parametric representation and global description of surfaces of simply connected 3-D objects is presented. The proposed schemes overcome the shortcomings of earlier methods, such as constraints on positioning and shape of cross-sections. A continuous, one-to-one mapping from the surface of the original object to the surface of a unit sphere is used in the parametrization which is presented as an optimization problem. This approach allows the expansion of the object surface into a series of spherical harmonic functions, extending to 3-D the concept of elliptical Fourier descriptors for 2-D closed curves.

Original languageEnglish (US)
Pages (from-to)154-170
Number of pages17
JournalComputer Vision and Image Understanding
Issue number2
StatePublished - Mar 1995

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition


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