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Fitting Globally Stabilized Algebraic Surfaces to Range Data

H. Türker Sahin, Mustafa Unel
ICCV 2005 pp. 1083-1088
doi:10.1109/ICCV.2005.101 /iccv/2005/sahin2005iccv-fitting/

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

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Cite

Text

Sahin and Unel. "Fitting Globally Stabilized Algebraic Surfaces to Range Data." IEEE/CVF International Conference on Computer Vision, 2005. doi:10.1109/ICCV.2005.101

Markdown

[Sahin and Unel. "Fitting Globally Stabilized Algebraic Surfaces to Range Data." IEEE/CVF International Conference on Computer Vision, 2005.](https://mlanthology.org/iccv/2005/sahin2005iccv-fitting/) doi:10.1109/ICCV.2005.101

BibTeX

@inproceedings{sahin2005iccv-fitting,
  title     = {{Fitting Globally Stabilized Algebraic Surfaces to Range Data}},
  author    = {Sahin, H. Türker and Unel, Mustafa},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {2005},
  pages     = {1083-1088},
  doi       = {10.1109/ICCV.2005.101},
  url       = {https://mlanthology.org/iccv/2005/sahin2005iccv-fitting/}
}