Fitting Globally Stabilized Algebraic Surfaces to Range Data

Authors:
Turker Sahin;Mustafa Unel
Affiliations:
Gebze Institute of Technology;Sabanci University
Venue:
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Year:
2005

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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.