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.
Fitting globally stabilized algebraic surfaces to range data
Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 ; 2 ; 1083-1088 Vol. 2
2005-01-01
698471 byte
Conference paper
Electronic Resource
English
Fitting Globally Stabilized Algebraic Surfaces to Range Data
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