Affine Alignment of Compound Objects: A Direct Approach (bibtex)
by Csaba Domokos, Zoltan Kato
Abstract:
A direct approach for parametric estimation of 2D affine deformations between compound shapes is proposed. It provides the result as a least-square solution of a linear system of equations. The basic idea is to fit Gaussian densities over the objects yielding covariant functions, which preserves the effect of the unknown transformation. Based on these functions, linear equations are constructed by integrating nonlinear functions over appropriate domains. The main advantages are: linear complexity, easy implementation, works without any time consuming optimization or established correspondences. Comparative tests show that it outperforms state-ofthe- art methods both in terms of precision, robustness and complexity.
Reference:
Csaba Domokos, Zoltan Kato, Affine Alignment of Compound Objects: A Direct Approach, In Proceedings of International Conference on Image Processing, Cairo, Egypt, pp. 169-172, 2009, IEEE.
Bibtex Entry:
@string{icip="Proceedings of International Conference on Image Processing"}
@InProceedings{Domokos-Kato2009b,
  author =	 {Domokos, {Cs}aba and Kato, Zoltan},
  title =	 {Affine Alignment of Compound Objects: A Direct
                  Approach},
  booktitle =	 icip,
  pages =	 {169--172},
  year =	 2009,
  address =	 {Cairo, Egypt},
  month =	 nov,
  organization = {IEEE},
  publisher =	 {IEEE},
  abstract =	 {A direct approach for parametric estimation of 2D
                  affine deformations between compound shapes is
                  proposed. It provides the result as a least-square
                  solution of a linear system of equations. The basic
                  idea is to fit Gaussian densities over the objects
                  yielding covariant functions, which preserves the
                  effect of the unknown transformation. Based on these
                  functions, linear equations are constructed by
                  integrating nonlinear functions over appropriate
                  domains. The main advantages are: linear complexity,
                  easy implementation, works without any time
                  consuming optimization or established
                  correspondences. Comparative tests show that it
                  outperforms state-ofthe- art methods both in terms
                  of precision, robustness and complexity.},
  pdf =		 {papers/icip2009_dcs.pdf}
}
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