Stable Algebraic Surfaces for 3D Object Representation |
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| Authors: | Turker Sahin Mustafa Unel |
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| Affiliation: | (1) Department of Computer Engineering, Gebze Institute of Technology, Gebze, Kocaeli, Turkey;(2) Faculty of Engineering and Natural Sciences, Sabanci University, Tuzla, Istanbul, Turkey |
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| Abstract: | Linear fitting techniques by implicit algebraic models usually suffer from global stability problems. Ridge regression regularization
can be used to improve the stability of algebraic surface fits. In this paper a Euclidean Invariant 3D ridge regression matrix
is developed and applied to a particular linear algebraic surface fitting method. Utilization of such a regularization in
fitting process makes it possible to globally stabilize 3D object fits with surfaces of any degree. Robustness to noise and
moderate levels of occlusion has also been enhanced significantly. Experimental results are presented to verify the improvements
in global stability and robustness of the resulting fits.
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| Keywords: | Algebraic surfaces Implicit polynomials Fitting Stability Ridge regression |
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