Affine and Deformable Registration Based on Polynomial Expansion

G. Farnebäck, C.-F. Westin
Ninth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'06)
Pages 857-864
October, 2006

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Abstract

This paper presents a registration framework based on the polynomial expansion transform. The idea of polynomial expansion is that the image is locally approximated by polynomials at each pixel. Starting with observations of how the coefficients of ideal linear and quadratic polynomials change under translation and affine transforma- tion, algorithms are developed to estimate translation and compute affine and deformable registration between a fixed and a moving image, from the polynomial expansion coefficients. All algorithms can be used for sig- nals of any dimensionality. The algorithms are evaluated on medical data.

Figure 2: warped pig organs.Figure 2(a) shows the warped segmentations superimposed on the second volume. For comparison Fig. 2(b) shows the corresponding result when the ITK implementation of demons algorithm (example code DeformableRegistration2 converted to 3D) was used.(b)
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Reference

Farnebäck G, Westin CF. Affine and deformable registration based on polynomial expansion. In Ninth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'06), Lecture Notes in Computer Science 4191. Copenhagen, Denmark, 2006;857-864.

Bibtex entry

@InProceedings{farnebackMICCAI06,
  author         = "Gunnar Farneb{\"a}ck and Carl-Fredrik Westin",             
  title          = "Affine and Deformable Registration Based on Polynomial     
                   Expansion",                                                 
  booktitle      = "Ninth International Conference on Medical Image Computing  
                   and Computer-Assisted Intervention (MICCAI'06)",            
  month          = "October",                                                  
  year           = "2006",                                                     
  pages          = "857--864",                                                 
  series         = "Lecture Notes in Computer Science 4191",                   
  address        = "Copenhagen, Denmark"}

Grants

NIH P41-RR13218 (NAC)