Two and Three Dimensional Image Registration Based on B-Spline Composition and Level Sets. (7th February 2017)

• Record Type: Journal Article
• Authors: Chan, Chiu Ling; Anitescu, Cosmin; Zhang, Yongjie; Rabczuk, Timon
• Is Part Of: Communications in computational physics. Volume 21:Number 2(2017:Feb.)
• Page Start: 600
• Page End: 622
• Publication Date: 2017-02-07
• Subjects: 68U10, -- 92C55, -- 62P10, -- 14QXX; Image registration, -- B-spline, -- level set, -- free-form deformation; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0042
• Languages: English
• ISSNs: 1815-2406

Abstract

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.