|
|
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
|
|
|
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.
|
Received: 30 October 2009
Published: 06 July 2010
|
|
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) |
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
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|