Multi-aﬃne registration using local polynomial expansion

WANG YUAN-JUN; FARNEBÄCK GUNNAR; WESTIN CARL-FREDRIK

doi:10.1631/jzus.C0910658

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Multi-aﬃne registration using local polynomial expansion

计算机与自动化 | Updated：2022-08-31

- Multi-aﬃne registration using local polynomial expansion
- Multi-aﬃne registration using local polynomial expansion
- 信息与电子工程前沿（英文） 2010年11卷第7期页码：495-503
- Affiliations：
  
  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
- Author bio：
  
  E-mail:yjwang@bwh.harvard.edu; westin@bwh.harvard.edu
  ‡Corresponding Author
- Funds：
- DOI：10.1631/jzus.C0910658
  中图分类号：
- 收稿：2009-10-30，
  
  修回：2010-06-07，
  
  录用：2010-05-28，
  
  纸质出版：2010-07
- Accepted：
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Multi-aﬃne registration using local polynomial expansion[J]. 信息与电子工程前沿（英文）, 2010,11(7):495-503.

WANG YUAN-JUN, FARNEBÄCK GUNNAR, WESTIN CARL-FREDRIK. Multi-aﬃne registration using local polynomial expansion[J]. Frontiers of Information Technology & Electronic Engineering, 2010, 11(7): 495-503.
Multi-aﬃne registration using local polynomial expansion[J]. 信息与电子工程前沿（英文）, 2010,11(7):495-503. DOI： 10.1631/jzus.C0910658.

WANG YUAN-JUN, FARNEBÄCK GUNNAR, WESTIN CARL-FREDRIK. Multi-aﬃne registration using local polynomial expansion[J]. Frontiers of Information Technology & Electronic Engineering, 2010, 11(7): 495-503. DOI： 10.1631/jzus.C0910658.

摘要

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.

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