Principal curvatures from the integral invariant viewpoint

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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 neighbourhoods 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. Key words: integral invariants, principal curvatures, robustness

Helmut Pottmann, Johannes Wallner, Yong-Liang Yang

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CAGD 2007 | Integral Invariant Solution | Integral Invariants | Principal Component Analysis |

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Added	12 Dec 2010
Updated	12 Dec 2010
Type	Journal
Year	2007
Where	CAGD
Authors	Helmut Pottmann, Johannes Wallner, Yong-Liang Yang, Yu-Kun Lai, Shi-Min Hu

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Principal curvatures from the integral invariant viewpoint

CAGD 2007 | Integral Invariant Solution | Integral Invariants | Principal Component Analysis |

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