by Csaba Domokos, Zoltan Kato
Abstract:
We consider the estimation of affine transformations aligning a known 2D shape and its distorted observation. The classical way to solve this registration problem is to find correspondences between the shapes and then compute the transformation parameters from these landmarks. Here we propose a novel approach where the exact transformation is obtained as the solution of a polynomial system of equations. The method has been tested on synthetic as well as on real images and its robustness in the presence of segmentation errors and additive geometric noise has also been demonstrated. We have successfully applied the method for the registration of hip prosthesis X-ray images. The advantage of the proposed solution is that it is fast, easy to implement, has linear time complexity, works without established correspondences and provides an exact solution regardless of the magnitude of transformation.
Reference:
Csaba Domokos, Zoltan Kato, Parametric Estimation of Affine Deformations of Planar Shapes, In Pattern Recognition, volume 43, no. 3, pp. 569-578, 2010, Elsevier.
Bibtex Entry:
@string{pattrec="Pattern Recognition"}
@string{elsevier="Elsevier"}
@ARTICLE{Domokos-Kato2009a,
author = {Domokos, {Cs}aba and Kato, Zoltan},
title = {Parametric Estimation of Affine Deformations of Planar Shapes},
journal = pattrec,
year = {2010},
volume = {43},
pages = {569--578},
number = {3},
month = mar,
abstract = {We consider the estimation of affine transformations aligning a known
2D shape and its distorted observation. The classical way to solve
this registration problem is to find correspondences between the
shapes and then compute the transformation parameters from these
landmarks. Here we propose a novel approach where the exact transformation
is obtained as the solution of a polynomial system of equations.
The method has been tested on synthetic as well as on real images
and its robustness in the presence of segmentation errors and additive
geometric noise has also been demonstrated. We have successfully
applied the method for the registration of hip prosthesis X-ray images.
The advantage of the proposed solution is that it is fast, easy to
implement, has linear time complexity, works without established
correspondences and provides an exact solution regardless of the
magnitude of transformation.},
pdf = {papers/pattrec2010.pdf},
publisher = elsevier
}