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}
}