Principal curvatures from the integral invariant viewpoint

Pottmann, Helmut, Wallner, Johannes, Yang, Yong-Liang, Lai, Yukun ORCID: https://orcid.org/0000-0002-2094-5680 and Hu, Shi-Min 2007. Principal curvatures from the integral invariant viewpoint. Computer Aided Geometric Design 24 (8-9) , pp. 428-442. 10.1016/j.cagd.2007.07.004

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Abstract

The extraction of curvature information for surfaces is a basic problem of Geometry Processing. Recently an integral invariant solution of this problem was presented, which is based on principal component analysis of local neighborhoods defined by kernel balls of various sizes. It is not only robust to noise, but also adjusts to the level of detail required. In the present paper we show an asymptotic analysis of the moments of inertia and the principal directions which are used in this approach. We also address implementation and, briefly, robustness issues and applications.

Item Type:	Article
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	Integral invariants; Principal curvatures; Robustness
ISSN:	01678396
Last Modified:	20 Oct 2022 08:16
URI:	https://orca.cardiff.ac.uk/id/eprint/27766

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