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Journal Articles Computer Aided Geometric Design Year : 2009

A torus patch approximation approach for point projection on surfaces

Xiao-Ming Liu
  • Function : Author
Lei Yang
  • Function : Author
Jun-Hai Yong
  • Function : Author
Jia-Guang Sun
  • Function : Author

Abstract

This paper proposes a second order geometric iteration algorithm for point projection and inversion on parametric surfaces. The iteration starts from an initial projection estimation. In each iteration, we construct a second order osculating torus patch to the parametric surface at the previous projection. Then we project the test point onto the torus patch to compute the next projection and its parameter. This iterative process is terminated when the parameter satisfies the required precision. Experiments demonstrate the convergence speed of our algorithm.
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Dates and versions

inria-00517719 , version 1 (15-09-2010)

Identifiers

  • HAL Id : inria-00517719 , version 1

Cite

Xiao-Ming Liu, Lei Yang, Jun-Hai Yong, He-Jin Gu, Jia-Guang Sun. A torus patch approximation approach for point projection on surfaces. Computer Aided Geometric Design, 2009. ⟨inria-00517719⟩
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