A Combination of the Total Variation Filter and a Fourth-Order Filter for Image Registration

Xiaomei Yang, Chaomin Shen, Fang Li and Chunli Shen

Mathematical Problems in Engineering, 2015, vol. 2015, 1-16

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:235314

DOI: 10.1155/2015/235314

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