Parameters for our proposed method.

<p>Parameters for our proposed method.</p

Mean distance, maximal distance and metrics of different algorithms.

<p>Mean distance, maximal distance and metrics of different algorithms.</p

Statistic box-plots of registration results in terms of NC and NMI.

<p>(a) NC parameters for box-plots. (b) NMI parameters for box-plots. In CT image registration cases, these methods are represented by appending a suffix 1 (e.g. Global1) to the name abbreviations, while in MRI image cases, the suffix 2 is added to their name abbreviations (e.g. Global2).</p

The average metric values of different algorithms for CT chest images (Mean value (95%CI)).

<p>The average metric values of different algorithms for CT chest images (Mean value (95%CI)).</p

The average normalized correlation (NC_aver) and normalized mutual information (NMI_aver) with different d values.

<p>(a) Values at level 0 with the mesh resolution 8×8; (b) Values at level 1 with the mesh resolution 4×4.</p

Medical images examples for method evaluation.

<p>(a) reference image of chest CT image pairs,(b) floating image of chest CT image pairs, (c) reference image of brain MR image pairs, (d) floating image of brain MR image pairs.</p

The reference image, corresponding floating image and the registration results.

<p>(a) The reference image attached 40 points (in red color and with white indexes) as registration ground truth; (b) and (c) are the floating image attached 40 points (in green color and with white indexes); (d) and (e) are the color images of deformations.</p

Reference image, the corresponding floating image and registration result.

<p>The first two rows present the reference image, the floating image and the registration results with the RBM method, LFEM method, DFEM method and NFEM method. The bottom row shows the subtraction images before registration and the ones using RBM and NFEM methods. Circles in (e) and (f) highlight the local differences in the subtraction image.</p

The component diagram of governing equations for LFEM, DFEM and NFEM.

<p>The component diagram of governing equations for LFEM, DFEM and NFEM.</p

The average metric values of different algorithms (Mean value (95%CI)).

<p>The average metric values of different algorithms (Mean value (95%CI)).</p