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Proceedings Paper

Curvature estimation of arbitrary discrete 3D surfaces using partial derivatives based on distance maps
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Paper Abstract

This work investigates curvature estimation of level surfaces in 3D voxel images. We discuss features of a widely used curvature computation scheme developed by Thirion. It is shown that the locality of the implicit function theorem destroys the smoothness of the reference unit normal; the specialty of Monge patch restricts the derived curvature formulas. By explicitly choosing the normalized gradient of the level function as the reference unit normal, a curvature computation scheme is developed and reported here, in which consistent geometrical meaning of curvature sign is maintained. In order to estimate the curvature efficiently for arbitrary discrete surfaces, a scheme based on distance mapping is proposed. This method was tested on simple 2D objects. It was shown that our method gives accurate curvature estimation similar to Gaussian filtering method, but with much less computational cost.

Paper Details

Date Published: 12 May 2004
PDF: 9 pages
Proc. SPIE 5370, Medical Imaging 2004: Image Processing, (12 May 2004); doi: 10.1117/12.536179
Show Author Affiliations
Xiangwei Zhang, Univ. of Iowa (United States)
Milan Sonka, Univ. of Iowa (United States)

Published in SPIE Proceedings Vol. 5370:
Medical Imaging 2004: Image Processing
J. Michael Fitzpatrick; Milan Sonka, Editor(s)

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