A Combination of the Total Variation Filter and a Fourth-Order Filter for Image Registration. (31st May 2015)

• Record Type: Journal Article
• Authors: Yang, Xiaomei; Shen, Chaomin; Li, Fang; Shen, Chunli
• Other Names: Vairo Giuseppe Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-05-31
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/235314
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We introduce a novel method for nonrigid image registration which combines the total variation filter and a fourth-order filter. We decompose the deformation field into two components, that is, a piecewise constant component and a smooth component. The total variation filter is used for the first component and the fourth-order filter is used for the second one. Then, we present a new PDE-based image registration model suitable for both smooth and nonsmooth deformation problem. Meanwhile, the local-global similarity measure is used in our method to improve the accuracy and robustness for image matching. By applying the split Bregman algorithm and dual algorithm, we present a fast and stable numerical scheme. The numerical experiments and comparisons on both synthetic images and real images demonstrate the effectiveness of our method in nonrigid image registration.