Multi-Modal Medical Image Registration with Full or Partial Data: A Manifold Learning Approach

Multi-modal image registration is the primary step in integrating information stored in two or more images, which are captured using multiple imaging modalities. In addition to intensity variations and structural differences between images, they may have partial or full overlap, which adds an extra hurdle to the success of registration process. In this contribution, we propose a multi-modal to mono-modal transformation method that facilitates direct application of well-founded mono-modal registration methods in order to obtain accurate alignment of multi-modal images in both cases, with complete (full) and incomplete (partial) overlap. The proposed transformation facilitates recovering strong scales, rotations, and translations. We explain the method thoroughly and discuss the choice of parameters. For evaluation purposes, the effectiveness of the proposed method is examined and compared with widely used information theory-based techniques using simulated and clinical human brain images with full data. Using RIRE dataset, mean absolute error of 1.37, 1.00, and 1.41 mm are obtained for registering CT images with PD-, T1-, and T2-MRIs, respectively. In the end, we empirically investigate the efficacy of the proposed transformation in registering multi-modal partially overlapped images.

[1]  Karl Pearson F.R.S. LIII. On lines and planes of closest fit to systems of points in space , 1901 .

[2]  Friedrich L. Bauer,et al.  On certain methods for expanding the characteristic polynomial , 1959, Numerische Mathematik.

[3]  K. Bathe,et al.  Large Eigenvalue Problems in Dynamic Analysis , 1972 .

[4]  P. C. Chowdhury The truncated Lanczos algorithm for partial solution of the symmetric eigenproblem , 1976 .

[5]  J. Michael Fitzpatrick,et al.  A technique for accurate magnetic resonance imaging in the presence of field inhomogeneities , 1992, IEEE Trans. Medical Imaging.

[6]  Lisa M. Brown,et al.  A survey of image registration techniques , 1992, CSUR.

[7]  M. Viergever,et al.  Medical image matching-a review with classification , 1993, IEEE Engineering in Medicine and Biology Magazine.

[8]  B. N. Chatterji,et al.  An FFT-based technique for translation, rotation, and scale-invariant image registration , 1996, IEEE Trans. Image Process..

[9]  Guy Marchal,et al.  Multimodality image registration by maximization of mutual information , 1997, IEEE Transactions on Medical Imaging.

[10]  Alan C. Evans,et al.  BrainWeb: Online Interface to a 3D MRI Simulated Brain Database , 1997 .

[11]  Gerald Q. Maguire,et al.  Comparison and evaluation of retrospective intermodality brain image registration techniques. , 1997, Journal of computer assisted tomography.

[12]  Jay B. West,et al.  Predicting error in rigid-body point-based registration , 1998, IEEE Transactions on Medical Imaging.

[13]  D. Louis Collins,et al.  Design and construction of a realistic digital brain phantom , 1998, IEEE Transactions on Medical Imaging.

[14]  Max A. Viergever,et al.  A survey of medical image registration , 1998, Medical Image Anal..

[15]  Alan C. Evans,et al.  MRI Simulation Based Evaluation and Classifications Methods , 1999, IEEE Trans. Medical Imaging.

[16]  Colin Studholme,et al.  An overlap invariant entropy measure of 3D medical image alignment , 1999, Pattern Recognit..

[17]  Simon R. Arridge,et al.  A survey of hierarchical non-linear medical image registration , 1999, Pattern Recognit..

[18]  Karl Rohr,et al.  Elastic Registration of Multimodal Medical Images: A Survey , 2000, Künstliche Intell..

[19]  D. Hill,et al.  Medical image registration , 2001, Physics in medicine and biology.

[20]  Mikhail Belkin,et al.  Laplacian Eigenmaps for Dimensionality Reduction and Data Representation , 2003, Neural Computation.

[21]  Jan Flusser,et al.  Image registration methods: a survey , 2003, Image Vis. Comput..

[22]  Paul A. Viola,et al.  Alignment by Maximization of Mutual Information , 1997, International Journal of Computer Vision.

[23]  Hany Farid,et al.  Medical image registration with partial data , 2006, Medical Image Anal..

[24]  Philippe C. Cattin,et al.  Non-rigid registration of multi-modal images using both mutual information and cross-correlation , 2008, Medical Image Anal..

[25]  Xuesong Lu,et al.  Mutual information-based multimodal image registration using a novel joint histogram estimation , 2008, Comput. Medical Imaging Graph..

[26]  Amit Singer,et al.  Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps , 2009, Proceedings of the National Academy of Sciences.

[27]  Nathan D. Cahill,et al.  Overlap invariance of cumulative residual entropy measures for multimodal image alignment , 2009, Medical Imaging.

[28]  D. Meltzer,et al.  Extraspinal findings on lumbar spine MR imaging. , 2009, Journal of radiology case reports.

[29]  Pengwei Hao,et al.  Finding representative landmarks of data on manifolds , 2009, Pattern Recognit..

[30]  Max A. Viergever,et al.  elastix: A Toolbox for Intensity-Based Medical Image Registration , 2010, IEEE Transactions on Medical Imaging.

[31]  Stefan Klein,et al.  Nonrigid registration of dynamic medical imaging data using nD + t B-splines and a groupwise optimization approach , 2011, Medical Image Anal..

[32]  Nassir Navab,et al.  Entropy and Laplacian images: Structural representations for multi-modal registration , 2012, Medical Image Anal..

[33]  Nemir Ahmed Al-Azzawi,et al.  MRI Monomodal Feature-Based Registration Based on the Efficiency of Multiresolution Representation and Mutual Information , 2012 .

[34]  Suprava Patnaik,et al.  Image Registration Using Log Polar Transform and Phase Correlation to Recover Higher Scale , 2012 .

[35]  Christian Wachinger,et al.  Learning Manifolds: Design Analysis for Medical Applications , 2012 .

[36]  Daniel Rueckert,et al.  Manifold Learning for Medical Image Registration, Segmentation, and Classification , 2012 .

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

[38]  Danielle F. Pace,et al.  A Locally Adaptive Regularization Based on Anisotropic Diffusion for Deformable Image Registration of Sliding Organs , 2013, IEEE Transactions on Medical Imaging.

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

[40]  V.R.S Mani,et al.  Survey of Medical Image Registration , 2013 .

[41]  Milan Sonka,et al.  Intra-retinal layer segmentation of 3D optical coherence tomography using coarse grained diffusion map , 2012, Medical Image Anal..

[42]  Liang Hu,et al.  Manifold‐based feature point matching for multi‐modal image registration , 2013, The international journal of medical robotics + computer assisted surgery : MRCAS.

[43]  Hong Qiao,et al.  An Explicit Nonlinear Mapping for Manifold Learning , 2010, IEEE Transactions on Cybernetics.

[44]  Gustavo Camps-Valls,et al.  Semisupervised Manifold Alignment of Multimodal Remote Sensing Images , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[45]  Emad Fatemizadeh,et al.  Sparse-induced similarity measure: mono-modal image registration via sparse-induced similarity measure , 2014, IET Image Process..

[46]  Stefan Klein,et al.  Fast parallel image registration on CPU and GPU for diagnostic classification of Alzheimer's disease , 2013, Front. Neuroinform..

[47]  João Manuel R S Tavares,et al.  Medical image registration: a review , 2014, Computer methods in biomechanics and biomedical engineering.

[48]  Di Guo,et al.  Magnetic resonance image reconstruction from undersampled measurements using a patch-based nonlocal operator , 2014, Medical Image Anal..

[49]  Joshua Kim,et al.  Technical Note: Characterization and correction of gradient nonlinearity induced distortion on a 1.0 T open bore MR-SIM. , 2015, Medical physics.

[50]  M. M. Sufyan Beg,et al.  Improved Edge Detection Algorithm for Brain Tumor Segmentation , 2015, Procedia Computer Science.

[51]  Sharath Pankanti,et al.  A generalized framework for medical image classification and recognition , 2015, IBM J. Res. Dev..

[52]  Chantana Chantrapornchai,et al.  Multigrid solution of the nonlinear PDEs arising in elastic image registration with application to a group of monomodal images , 2016 .

[53]  Ahmed Atwan,et al.  Current trends in medical image registration and fusion , 2016 .

[54]  Christopher Joseph Pal,et al.  Brain tumor segmentation with Deep Neural Networks , 2015, Medical Image Anal..

[55]  Yangyang Liu,et al.  Medical image classification via multiscale representation learning , 2017, Artif. Intell. Medicine.

[56]  Yaozong Gao,et al.  Dual‐core steered non‐rigid registration for multi‐modal images via bi‐directional image synthesis , 2017, Medical Image Anal..

[57]  Emad Fatemizadeh,et al.  Image Registration Based on Low Rank Matrix: Rank-Regularized SSD , 2018, IEEE Transactions on Medical Imaging.

[58]  Jef Vandemeulebroucke,et al.  Registration strategies for multi‐modal whole‐body MRI mosaicing , 2018, Magnetic resonance in medicine.

[59]  Samaneh Abbasi-Sureshjani,et al.  Multi-modal and multi-vendor retina image registration. , 2018, Biomedical optics express.