Parametric Estimation of Affine Deformations of Binary Images (bibtex)
by Csaba Domokos, Zoltan Kato, Joseph M. Francos
Abstract:
We consider the problem of planar object registration on binary images where the aligning transformation is restricted to the group of \em affine transformations. Previous approaches usually require established correspondences or the solution of nonlinear optimization problems. Herein we show that it is possible to formulate the problem as the solution of a system of up to third order polynomial equations. These equations are constructed in a simple way using some basic geometric information of \em binary images. It does not need established correspondences nor the solution of complex optimization problems. The resulting algorithm is fast and provides a direct solution regardless of the magnitude of transformation.
Reference:
Csaba Domokos, Zoltan Kato, Joseph M. Francos, Parametric Estimation of Affine Deformations of Binary Images, In Proceedings of International Conference on Acoustics, Speech and Signal Processing, Las Vegas, Nevada, USA, pp. 889-892, 2008, IEEE.
Bibtex Entry:
@string{icassp="Proceedings of International Conference on Acoustics, Speech and Signal Processing"}
@InProceedings{Domokos-etal2008,
  author =	 {Domokos, {Cs}aba and Kato, Zoltan and Francos,
                  Joseph M.},
  title =	 {Parametric Estimation of Affine Deformations of
                  Binary Images},
  booktitle =	 icassp,
  pages =	 {889--892},
  year =	 2008,
  address =	 {Las Vegas, Nevada, USA},
  month =	 apr,
  organization = {IEEE},
  publisher =	 {IEEE},
  abstract =	 {We consider the problem of planar object
                  registration on binary images where the aligning
                  transformation is restricted to the group of {\em
                  affine} transformations. Previous approaches usually
                  require established correspondences or the solution
                  of nonlinear optimization problems. Herein we show
                  that it is possible to formulate the problem as the
                  solution of a system of up to third order polynomial
                  equations. These equations are constructed in a
                  simple way using some basic geometric information of
                  {\em binary} images. It does not need established
                  correspondences nor the solution of complex
                  optimization problems. The resulting algorithm is
                  fast and provides a direct solution regardless of
                  the magnitude of transformation.},
  pdf =		 {papers/icassp2008.pdf},
  doi =		 {10.1109/ICASSP.2008.4517753}
}
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