Parametric estimation of affine deformations of planar shapes

Csaba Domokos, Zoltan Kato

Research output: Contribution to journalArticle

31 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)569-578
Number of pages10
JournalPattern Recognition
Issue number3
Publication statusPublished - Mar 1 2010


  • Affine transformation
  • Image registration
  • Shape matching

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Artificial Intelligence

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