Fast Deformable Image Registration with Non-smooth Dual Optimization

Optimization techniques have been widely used in deformable registration, allowing for the incorporation of similarity metrics with regularization mechanisms. These regularization mechanisms are designed to mitigate the effects of trivial solutions to ill-posed registration problems and to otherwise ensure the resulting deformation fields are well-behaved. This paper introduces a novel deformable registration (DR) algorithm, RANCOR, which uses iterative convexification to address DR problems under nonsmooth total-variation regularization. Initial comparative results against four state-of-the-art registration algorithms and under smooth regularization, respectively, are presented using the Internet Brain Segmentation Repository (IBSR) database.

[1]  Tobias Gass,et al.  Total Variation Regularization of Displacements in Parametric Image Registration , 2014, ABDI@MICCAI.

[2]  Aaron Fenster,et al.  Fast Globally Optimal Segmentation of 3D Prostate MRI with Axial Symmetry Prior , 2013, MICCAI.

[3]  Terry M. Peters,et al.  Fast interactive multi-region cardiac segmentation with linearly ordered labels , 2012, 2012 9th IEEE International Symposium on Biomedical Imaging (ISBI).

[4]  Aaron Fenster,et al.  Three-Dimensional Nonrigid MR-TRUS Registration Using Dual Optimization , 2015, IEEE Transactions on Medical Imaging.

[5]  Qianjin Feng,et al.  Multimodal Brain-Tumor Segmentation Based on Dirichlet Process Mixture Model with Anisotropic Diffusion and Markov Random Field Prior , 2014, Comput. Math. Methods Medicine.

[6]  Terry M. Peters,et al.  Interactive Hierarchical-Flow Segmentation of Scar Tissue From Late-Enhancement Cardiac MR Images , 2014, IEEE Transactions on Medical Imaging.

[7]  Sébastien Ourselin,et al.  Fast free-form deformation using graphics processing units , 2010, Comput. Methods Programs Biomed..

[8]  Nikos Paragios,et al.  Deformable Medical Image Registration: A Survey , 2013, IEEE Transactions on Medical Imaging.

[9]  Brian B. Avants,et al.  Symmetric diffeomorphic image registration with cross-correlation: Evaluating automated labeling of elderly and neurodegenerative brain , 2008, Medical Image Anal..

[10]  Horst Bischof,et al.  A Duality Based Algorithm for TV- L 1-Optical-Flow Image Registration , 2007, MICCAI.

[11]  Daniel Rueckert,et al.  Nonrigid registration using free-form deformations: application to breast MR images , 1999, IEEE Transactions on Medical Imaging.

[12]  Michael Brady,et al.  MIND: Modality independent neighbourhood descriptor for multi-modal deformable registration , 2012, Medical Image Anal..

[13]  Xue-Cheng Tai,et al.  A study on continuous max-flow and min-cut approaches , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[14]  Lars Hömke,et al.  Total Variation Based Image Registration , 2007 .

[15]  Brian B. Avants,et al.  Evaluation of Registration Methods on Thoracic CT: The EMPIRE10 Challenge , 2011, IEEE Transactions on Medical Imaging.

[16]  Nasser Kehtarnavaz,et al.  Brain Functional Localization: A Survey of Image Registration Techniques , 2007, IEEE Transactions on Medical Imaging.

[17]  Babak A. Ardekani,et al.  Quantitative comparison of algorithms for inter-subject registration of 3D volumetric brain MRI scans , 2005, Journal of Neuroscience Methods.

[18]  John Ashburner,et al.  A fast diffeomorphic image registration algorithm , 2007, NeuroImage.

[19]  Xue-Cheng Tai,et al.  A Continuous Max-Flow Approach to Potts Model , 2010, ECCV.

[20]  D. Hill,et al.  Non-rigid image registration: theory and practice. , 2004, The British journal of radiology.

[21]  Stephen M. Smith,et al.  Improved Optimization for the Robust and Accurate Linear Registration and Motion Correction of Brain Images , 2002, NeuroImage.

[22]  Nassir Navab,et al.  Diffusion-based Regularisation Strategies for Variational Level Set Segmentation , 2010, BMVC.

[23]  James C. Gee,et al.  Point similarity measures for non-rigid registration of multi-modal data , 2003, Comput. Vis. Image Underst..

[24]  Horst Bischof,et al.  A Duality Based Approach for Realtime TV-L1 Optical Flow , 2007, DAGM-Symposium.

[25]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[26]  G. Marchal,et al.  Multi-modal volume registration by maximization of mutual information , 1997 .

[27]  Arno Klein,et al.  Evaluation of 14 nonlinear deformation algorithms applied to human brain MRI registration , 2009, NeuroImage.

[28]  Michael Brady,et al.  Improved Optimization for the Robust and Accurate Linear Registration and Motion Correction of Brain Images , 2002, NeuroImage.