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Parametrizing and Fitting Bounded Algebraic Curves and Surfaces

Gabriel Taubin, Fernando Cukierman, Steve Sullivan, Jean Ponce, David J. Kriegman
CVPR 1992 pp. 103-108
doi:10.1109/CVPR.1992.223220 /cvpr/1992/taubin1992cvpr-parametrizing/

Abstract

An approach to fitting of implicit algebraic curves and surfaces to point data is introduced. Two families of polynomials with bounded zero sets are presented. Members of these families have the same number of degrees of freedom as general polynomials of the same degree. Methods for fitting members of these families of polynomials to measured data points are described. Experimental results for sets of points in R/sup 2/ and R/sup 3/ for curves and surfaces, respectively, are presented.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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Cite

Text

Taubin et al. "Parametrizing and Fitting Bounded Algebraic Curves and Surfaces." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992. doi:10.1109/CVPR.1992.223220

Markdown

[Taubin et al. "Parametrizing and Fitting Bounded Algebraic Curves and Surfaces." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992.](https://mlanthology.org/cvpr/1992/taubin1992cvpr-parametrizing/) doi:10.1109/CVPR.1992.223220

BibTeX

@inproceedings{taubin1992cvpr-parametrizing,
  title     = {{Parametrizing and Fitting Bounded Algebraic Curves and Surfaces}},
  author    = {Taubin, Gabriel and Cukierman, Fernando and Sullivan, Steve and Ponce, Jean and Kriegman, David J.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1992},
  pages     = {103-108},
  doi       = {10.1109/CVPR.1992.223220},
  url       = {https://mlanthology.org/cvpr/1992/taubin1992cvpr-parametrizing/}
}