A Torus Patch Approximation Approach for Point Projection on Implicit Surfaces

Abstract:

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Point projection on an implicit surface is essential for the geometric modeling and graphics applications of it. This paper presents a method for computing the principle curvatures and principle directions of an implicit surface. Using the principle curvatures and principle directions, we construct a torus patch to approximate the implicit surface locally. The torus patch is second order osculating to the implicit surface. By taking advantage of the approximation torus patch, this paper develops a second order geometric iterative algorithm for point projection on the implicit surface. Experiments illustrate the efficiency and less dependency on initial values of our algorithm.

Info:

Periodical:

Edited by:

Wensong Hu

Pages:

259-265

DOI:

10.4028/www.scientific.net/AMR.346.259

Citation:

X. M. Liu et al., "A Torus Patch Approximation Approach for Point Projection on Implicit Surfaces", Advanced Materials Research, Vol. 346, pp. 259-265, 2012

Online since:

September 2011

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Price:

$35.00

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