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Front. Inform. Technol. Electron. Eng.  2010, Vol. 11 Issue (7): 495-503    DOI: 10.1631/jzus.C0910658
    
Multi-affine registration using local polynomial expansion
Yuan-jun Wang1,2, Gunnar Farneb?ck2, Carl-Fredrik Westin*,2
1 Digital Medical Research Center, Shanghai Medical School, Fudan University, Shanghai 200032, China 2 Lab of Mathematics in Imaging, Brigham and Women\'s Hospital, Harvard Medical School, Boston 02115, MA, USA
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Abstract  In this paper, we present a non-linear (multi-affine) registration algorithm based on a local polynomial expansion model. We generalize previous work using a quadratic polynomial expansion model. Local affine models are estimated using this generalized model analytically and iteratively, and combined to a deformable registration algorithm. Experiments show that the affine parameter calculations derived from this quadratic model are more accurate than using a linear model. Experiments further indicate that the multi-affine deformable registration method can handle complex non-linear deformation fields necessary for deformable registration, and a faster convergent rate is verified from our comparison experiment.

Key words： Deformable registration      Polynomial expansion      Least squares      Multi-affine      Normalized convolution     
Received: 30 October 2009      Published: 06 July 2010
CLC:  TP391.4  
Fund:  Project  supported  by  the  joint  PhD  Program  of  the  China Scholarship Council (CSC), the US National Institutes of Health
(NIH)  (Nos.   R01MH074794  and  P41RR013218),  and  the  Na-tional Natural Science Foundation of China (No.  60972102)
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Yuan-jun Wang
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Yuan-jun Wang, Gunnar Farneb?ck, Carl-Fredrik Westin. Multi-affine registration using local polynomial expansion. Front. Inform. Technol. Electron. Eng., 2010, 11(7): 495-503.

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http://www.zjujournals.com/xueshu/fitee/10.1631/jzus.C0910658     OR     http://www.zjujournals.com/xueshu/fitee/Y2010/V11/I7/495


Multi-affine registration using local polynomial expansion

In this paper, we present a non-linear (multi-affine) registration algorithm based on a local polynomial expansion model. We generalize previous work using a quadratic polynomial expansion model. Local affine models are estimated using this generalized model analytically and iteratively, and combined to a deformable registration algorithm. Experiments show that the affine parameter calculations derived from this quadratic model are more accurate than using a linear model. Experiments further indicate that the multi-affine deformable registration method can handle complex non-linear deformation fields necessary for deformable registration, and a faster convergent rate is verified from our comparison experiment.

关键词： Deformable registration,  Polynomial expansion,  Least squares,  Multi-affine,  Normalized convolution 
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