Volume 21, Issue 2
Two and Three Dimensional Image Registration Based on B-Spline Composition and Level Sets

Chiu Ling Chan, Cosmin Anitescu, Yongjie Zhang & Timon Rabczuk

Commun. Comput. Phys., 21 (2017), pp. 600-622.

Published online: 2018-04

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  • Abstract

A method for non-rigid image registration that is suitable for large deformations is presented. Conventional registration methods embed the image in a B-spline object, and the image is evolved by deforming the B-spline object. In this work, we represent the image using B-spline and deform the image using a composition approach. We also derive a computationally efficient algorithm for calculating the B-spline coefficients and gradients of the image by adopting ideas from signal processing using image filters. We demonstrate the application of our method on several different types of 2D and 3D images and compare it with existing methods.

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@Article{CiCP-21-600, author = {}, title = {Two and Three Dimensional Image Registration Based on B-Spline Composition and Level Sets}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {2}, pages = {600--622}, abstract = {

A method for non-rigid image registration that is suitable for large deformations is presented. Conventional registration methods embed the image in a B-spline object, and the image is evolved by deforming the B-spline object. In this work, we represent the image using B-spline and deform the image using a composition approach. We also derive a computationally efficient algorithm for calculating the B-spline coefficients and gradients of the image by adopting ideas from signal processing using image filters. We demonstrate the application of our method on several different types of 2D and 3D images and compare it with existing methods.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0042}, url = {http://global-sci.org/intro/article_detail/cicp/11252.html} }
TY - JOUR T1 - Two and Three Dimensional Image Registration Based on B-Spline Composition and Level Sets JO - Communications in Computational Physics VL - 2 SP - 600 EP - 622 PY - 2018 DA - 2018/04 SN - 21 DO - http://doi.org/10.4208/cicp.OA-2016-0042 UR - https://global-sci.org/intro/article_detail/cicp/11252.html KW - AB -

A method for non-rigid image registration that is suitable for large deformations is presented. Conventional registration methods embed the image in a B-spline object, and the image is evolved by deforming the B-spline object. In this work, we represent the image using B-spline and deform the image using a composition approach. We also derive a computationally efficient algorithm for calculating the B-spline coefficients and gradients of the image by adopting ideas from signal processing using image filters. We demonstrate the application of our method on several different types of 2D and 3D images and compare it with existing methods.

Chiu Ling Chan, Cosmin Anitescu, Yongjie Zhang & Timon Rabczuk. (2020). Two and Three Dimensional Image Registration Based on B-Spline Composition and Level Sets. Communications in Computational Physics. 21 (2). 600-622. doi:10.4208/cicp.OA-2016-0042
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