Fitting globally stabilized algebraic surfaces to range data

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Şahin, Türker and Ünel, Mustafa (2005) Fitting globally stabilized algebraic surfaces to range data. In: Tenth IEEE International Conference on Computer Vision, 2005. ICCV 2005., Beijing, China

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Abstract

Linear fitting of implicit algebraic models to data usually suffers from global stability problems. Complicated object structures can accurately be modeled by closed-bounded surfaces of higher degrees using ridge regression. This paper derives an explicit formula for computing a Euclidean invariant 3D ridge regression matrix and applies it for the global stabilization of a particular linear fitting method. Experiments show that the proposed approach improves global stability of resulting surfaces significantly.
Item Type: Papers in Conference Proceedings
Subjects: Q Science > QA Mathematics > QA075 Electronic computers. Computer science
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Mustafa Ünel
Date Deposited: 08 Jun 2008 20:53
Last Modified: 26 Apr 2022 08:45
URI: https://research.sabanciuniv.edu/id/eprint/8587

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