Two and Three Dimensional Image Registration Based on B-Spline Composition and Level Sets

Chiu Ling Chan; Cosmin Anitescu; Yongjie Zhang; Timon Rabczuk

doi:10.4208/cicp.OA-2016-0042

Two and Three Dimensional Image Registration Based on B-Spline Composition and Level Sets

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

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

Amethod 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.

Original language	English
Pages (from-to)	600-622
Number of pages	23
Journal	Communications in Computational Physics
Volume	21
Issue number	2
DOIs	https://doi.org/10.4208/cicp.OA-2016-0042
Publication status	Published - 2017 Feb 1

Bibliographical note

Funding Information:
We gratefully acknowledge the financial support of the ITN-INSIST (grant number 289361) and the German Academic Exchange Program(DAAD). Y. Zhang was supported in part by NSF CAREER Award OCI-1149591

Publisher Copyright:
Copyright © Global-Science Press 2017.

Keywords

B-spline
Image registration
free-form deformation
level set

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.4208/cicp.OA-2016-0042

Cite this

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abstract = "Amethod 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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N1 - Funding Information: We gratefully acknowledge the financial support of the ITN-INSIST (grant number 289361) and the German Academic Exchange Program(DAAD). Y. Zhang was supported in part by NSF CAREER Award OCI-1149591 Publisher Copyright: Copyright © Global-Science Press 2017.

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N2 - Amethod 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.

AB - Amethod 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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Two and Three Dimensional Image Registration Based on B-Spline Composition and Level Sets

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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