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

Author

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  • Xiaomei Yang
  • Chaomin Shen
  • Fang Li
  • Chunli Shen

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.

Suggested Citation

  • Xiaomei Yang & Chaomin Shen & Fang Li & Chunli Shen, 2015. "A Combination of the Total Variation Filter and a Fourth-Order Filter for Image Registration," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-16, May.
    • Handle: RePEc:hin:jnlmpe:235314
    DOI: 10.1155/2015/235314
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