A Review on Medical Image Registration as an Optimization Problem

Objective: In the course of clinical treatment, several medical media are required by a phy-sician in order to provide accurate and complete information about a patient. Medical image registra-tion techniques can provide a richer diagnosis and treatment information to doctors and to provide a comprehensive reference source for the researchers involved in image registration as an optimization problem. Methods: The essence of image registration is associating two or more different images spatial asso-ciation, and getting the translation of their spatial relationship. For medical image registration, its pro-cess is not absolute. Its core purpose is finding the conversion relationship between different images. Result: The major step of image registration includes the change of geometrical dimensions, and change of the image of the combination, image similarity measure, iterative optimization and interpo-lation process. Conclusion: The contribution of this review is sort of related image registration research methods, can provide a brief reference for researchers about image registration.

[1]  João Manuel R S Tavares,et al.  Rapid pedobarographic image registration based on contour curvature and optimization. , 2009, Journal of biomechanics.

[2]  Nicholas Devaney,et al.  Pre‐processing, registration and selection of adaptive optics corrected retinal images , 2013, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[3]  Zhenyu He,et al.  A Global-to-Local Matching Strategy for Registering Retinal Fundus Images , 2005, IbPRIA.

[4]  João Manuel R. S. Tavares.  Analysis of Biomedical Images Based on Automated Methods of Image Registration , 2014, ISVC.

[5]  Jonathan Nissanov,et al.  Elastic 3-D alignment of rat brain histological images , 2003, IEEE Transactions on Medical Imaging.

[6]  Guoyan Zheng,et al.  Reconstruction of Patient-Specific 3D Bone Model from Biplanar X-Ray Images and Point Distribution Models , 2006, 2006 International Conference on Image Processing.

[7]  Ghassan Hamarneh,et al.  N-SIFT: N-DIMENSIONAL SCALE INVARIANT FEATURE TRANSFORM FOR MATCHING MEDICAL IMAGES , 2007, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[8]  M. Unser,et al.  Interpolation revisited [medical images application] , 2000, IEEE Transactions on Medical Imaging.

[9]  Zhao Zhang,et al.  Multi-Modality Medical Image registration Using Support Vector Machines , 2005, 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference.

[10]  Jerry L. Prince,et al.  Multimodal Registration via Mutual Information Incorporating Geometric and Spatial Context , 2015, IEEE Transactions on Image Processing.

[11]  Colin Studholme,et al.  Deformation-based mapping of volume change from serial brain MRI in the presence of local tissue contrast change , 2006, IEEE Transactions on Medical Imaging.

[12]  Alain Trouvé,et al.  Diffeomorphic Brain Registration Under Exhaustive Sulcal Constraints , 2011, IEEE Transactions on Medical Imaging.

[13]  Erez N. Ribak,et al.  Enhancing retinal images by nonlinear registration , 2014, 1408.5503.

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

[15]  Dinggang Shen,et al.  Robust Computation of Mutual Information Using Spatially Adaptive Meshes , 2007, MICCAI.

[16]  Mateu Sbert,et al.  High-Dimensional Normalized Mutual Information for Image Registration Using Random Lines , 2006, WBIR.

[17]  David A Jaffray,et al.  2D-3D registration for prostate radiation therapy based on a statistical model of transmission images. , 2009, Medical physics.

[18]  E. Haber,et al.  Intensity Gradient Based Registration and Fusion of Multi-modal Images , 2007, Methods of Information in Medicine.

[19]  Max Mignotte,et al.  A hierarchical statistical modeling approach for the unsupervised 3-D biplanar reconstruction of the scoliotic spine , 2005, IEEE Transactions on Biomedical Engineering.

[20]  G. Kuduvalli,et al.  A fast, accurate, and automatic 2D-3D image registration for image-guided cranial radiosurgery. , 2008, Medical physics.

[21]  João Manuel R. S. Tavares,et al.  Improvement of Modal Matching Image Objects in Dynamic Pedobarography Using Optimization Techniques , 2004, AMDO.

[22]  Xiao Han.  Feature-constrained Nonlinear Registration of Lung CT Images , 2010 .

[23]  Qianjin Feng,et al.  Intensity based image registration by minimizing exponential function weighted residual complexity , 2013, Comput. Biol. Medicine.

[24]  Leo Joskowicz,et al.  Registration of a CT-like atlas to fluoroscopic X-ray images using intensity correspondences , 2008, International Journal of Computer Assisted Radiology and Surgery.

[25]  L. Xing,et al.  Tissue feature-based and segmented deformable image registration for improved modeling of shear movement of lungs. , 2009, International journal of radiation oncology, biology, physics.

[26]  Derek L. G. Hill,et al.  Registration Methodology: Concepts and Algorithms , 2001 .

[27]  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.

[28]  Cordelia Schmid,et al.  Scale & Affine Invariant Interest Point Detectors , 2004, International Journal of Computer Vision.

[29]  Nicholas Ayache,et al.  Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration , 2010, IEEE Transactions on Medical Imaging.

[30]  R. S. Tavares,et al.  Image Processing and Analysis: Applications and Trends , 2010 .

[31]  I. J. Schoenberg.  Contributions to the problem of approximation of equidistant data by analytic functions. Part A. On the problem of smoothing or graduation. A first class of analytic approximation formulae , 1946 .

[32]  Alfred O. Hero,et al.  Locally-adaptive similarity metric for deformable medical image registration , 2012, 2012 9th IEEE International Symposium on Biomedical Imaging (ISBI).

[33]  Anant Madabhushi,et al.  Explicit shape descriptors: Novel morphologic features for histopathology classification , 2013, Medical Image Anal..

[34]  Suyash P. Awate,et al.  Point Set Registration Using Havrda–Charvat–Tsallis Entropy Measures , 2011, IEEE Transactions on Medical Imaging.

[35]  Francisco P. M. Oliveira,et al.  A robust computational solution for automated quantification of a specific binding ratio based on [123i]fp-cit SPECT images. , 2014, The quarterly journal of nuclear medicine and molecular imaging : official publication of the Italian Association of Nuclear Medicine (AIMN) [and] the International Association of Radiopharmacology (IAR), [and] Section of the Society of....

[36]  Jeff Orchard.  Globally Optimal Multimodal Rigid Registration: An Analytic Solution using Edge Information , 2007, 2007 IEEE International Conference on Image Processing.

[37]  Berthold K. P. Horn,et al.  Determining Optical Flow , 1981, Other Conferences.

[38]  Max A. Viergever,et al.  Registration of Cervical MRI Using Multifeature Mutual Information , 2009, IEEE Transactions on Medical Imaging.

[39]  Terry M. Peters,et al.  Registration of 3D shapes under anisotropic scaling , 2015, International Journal of Computer Assisted Radiology and Surgery.

[40]  Benjamin Movsas,et al.  2D/3D image fusion for accurate target localization and evaluation of a mask based stereotactic system in fractionated stereotactic radiotherapy of cranial lesions. , 2006, Medical physics.

[41]  Max Mignotte,et al.  Three-dimensional biplanar reconstruction of scoliotic rib cage using the estimation of a mixture of probabilistic prior models , 2005, IEEE Transactions on Biomedical Engineering.

[42]  João Manuel R. S. Tavares,et al.  Spatio-temporal alignment of pedobarographic image sequences , 2011, Medical & Biological Engineering & Computing.

[43]  Albert C. S. Chung,et al.  Non-rigid image registration of brain magnetic resonance images using graph-cuts , 2011, Pattern Recognit..

[44]  Bostjan Likar,et al.  A hierarchical approach to elastic registration based on mutual information , 2001, Image Vis. Comput..

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

[46]  Nicholas Ayache,et al.  Rigid registration of 3-D ultrasound with MR images: a new approach combining intensity and gradient information , 2001, IEEE Transactions on Medical Imaging.

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

[48]  J. Tavares,et al.  Computer Image Registration Techniques Applied to Nuclear Medicine Images , 2015 .

[49]  A Schweikard,et al.  Respiration tracking in radiosurgery without fiducials , 2005, The international journal of medical robotics + computer assisted surgery : MRCAS.

[50]  João Manuel R. S. Tavares,et al.  Enhanced spatio-temporal alignment of plantar pressure image sequences using B-splines , 2013, Medical & Biological Engineering & Computing.

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

[52]  Bostjan Likar,et al.  Robust Gradient-Based 3-D/2-D Registration of CT and MR to X-Ray Images , 2008, IEEE Transactions on Medical Imaging.

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

[54]  J. Jerome.  Review: Larry L. Schumaker, Spline functions: Basic theory , 1982 .

[55]  Michael I. Miller,et al.  Volumetric transformation of brain anatomy , 1997, IEEE Transactions on Medical Imaging.

[56]  Chia-Ling Tsai,et al.  The dual-bootstrap iterative closest point algorithm with application to retinal image registration , 2003, IEEE Transactions on Medical Imaging.

[57]  João Manuel R. S. Tavares,et al.  Matching of objects nodal points improvement using optimization , 2006 .

[58]  Philippe C. Cattin,et al.  Retina Mosaicing Using Local Features , 2006, MICCAI.

[59]  Luc Van Gool,et al.  Speeded-Up Robust Features (SURF) , 2008, Comput. Vis. Image Underst..

[60]  Nicole M. Grosland,et al.  Automated hexahedral meshing of anatomic structures using deformable registration , 2009 .

[61]  Gary E. Christensen,et al.  Consistent landmark and intensity-based image registration , 2002, IEEE Transactions on Medical Imaging.

[62]  Zhenhua Li,et al.  Registration of the Cone Beam CT and Blue-Ray Scanned Dental Model Based on the Improved ICP Algorithm , 2014, Int. J. Biomed. Imaging.

[63]  Karl Rohr,et al.  Spline-based elastic image registration: integration of landmark errors and orientation attributes , 2003, Comput. Vis. Image Underst..

[64]  João Manuel R. S. Tavares,et al.  Matching Contours in Images through the use of Curvature, Distance to Centroid and Global Optimization with Order-Preserving Constraint , 2009 .

[65]  Yun He,et al.  A generalized divergence measure for robust image registration , 2003, IEEE Trans. Signal Process..

[66]  Wei Luo,et al.  Magnetic resonance-based treatment planning for prostate intensity-modulated radiotherapy: creation of digitally reconstructed radiographs. , 2007, International journal of radiation oncology, biology, physics.

[67]  Charles V. Stewart,et al.  A Feature-Based, Robust, Hierarchical Algorithm for Registering Pairs of Images of the Curved Human Retina , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[68]  Max A. Viergever,et al.  f-information measures in medical image registration , 2004, IEEE Transactions on Medical Imaging.

[69]  J. Michael Fitzpatrick,et al.  General Approach to First-Order Error Prediction in Rigid Point Registration , 2011, IEEE Transactions on Medical Imaging.

[70]  Brian B. Avants,et al.  Directly Manipulated Free-Form Deformation Image Registration , 2009, IEEE Transactions on Image Processing.

[71]  Johan H. C. Reiber,et al.  A strain energy filter for 3D vessel enhancement with application to pulmonary CT images , 2011, Medical Image Anal..

[72]  Paul Suetens,et al.  Nonrigid Image Registration Using Conditional Mutual Information , 2007, IPMI.

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

[74]  S. Uchida.  Image processing and recognition for biological images , 2013, Development, growth & differentiation.

[75]  Karl Rohr,et al.  Radial basis functions with compact support for elastic registration of medical images , 2001, Image Vis. Comput..

[76]  Purang Abolmaesumi,et al.  A High-Order Solution for the Distribution of Target Registration Error in Rigid-Body Point-Based Registration , 2006, MICCAI.

[77]  Cordelia Schmid,et al.  A Performance Evaluation of Local Descriptors , 2005, IEEE Trans. Pattern Anal. Mach. Intell..

[78]  Bostjan Likar,et al.  3-D/2-D registration by integrating 2-D information in 3-D , 2006, IEEE Transactions on Medical Imaging.

[79]  David J. Hawkes,et al.  Registration of freehand 3D ultrasound and magnetic resonance liver images , 2004, Medical Image Anal..

[80]  M. Sonka,et al.  Retinal Imaging and Image Analysis , 2010, IEEE Reviews in Biomedical Engineering.

[81]  Ghassan Hamarneh,et al.  N-Sift: N-Dimensional Scale Invariant Feature Transform for Matching Medical Images , 2007, ISBI.

[82]  Christopher G. Harris,et al.  A Combined Corner and Edge Detector , 1988, Alvey Vision Conference.

[83]  Lei Wang,et al.  Evaluation of Four Similarity Measures for 2D/3D Registration in Image-Guided Intervention , 2014 .

[84]  N. Reed,et al.  A Review of Recent Developments in Image-Guided Radiation Therapy in Cervix Cancer , 2012, Current Oncology Reports.

[85]  D. Jaffray,et al.  Review of image-guided radiation therapy , 2007, Expert review of anticancer therapy.

[86]  A. Ben Hamza,et al.  An Entropy-Based Technique for Nonrigid Medical Image Alignment , 2011, IWCIA.

[87]  Gabor Fichtinger,et al.  Fiducial Registration from a Single X-Ray Image: A New Technique for Fluoroscopic Guidance and Radiotherapy , 2000, MICCAI.

[88]  Hamid Behnam,et al.  Automatic Computation of Left Ventricular Volume Changes Over a Cardiac Cycle from Echocardiography Images by Nonlinear Dimensionality Reduction , 2015, Journal of Digital Imaging.

[89]  Josien P. W. Pluim,et al.  Evaluation of Optimization Methods for Nonrigid Medical Image Registration Using Mutual Information and B-Splines , 2007, IEEE Transactions on Image Processing.

[90]  Christos Davatzikos,et al.  Deformable Registration of Glioma Images Using EM Algorithm and Diffusion Reaction Modeling , 2011, IEEE Transactions on Medical Imaging.

[91]  Linghong Zhou,et al.  A segmentation and point-matching enhanced efficient deformable image registration method for dose accumulation between HDR CT images , 2015, Physics in medicine and biology.

[92]  J. Kettenbach,et al.  Stochastic rank correlation: a robust merit function for 2D/3D registration of image data obtained at different energies. , 2009, Medical physics.

[93]  M. Garreau,et al.  Medical image registration using Edgeworth-based approximation of Mutual Information , 2014 .

[94]  Sven Kabus,et al.  B-spline registration of 3D images with Levenberg-Marquardt optimization , 2004, SPIE Medical Imaging.

[95]  E. Meijering.  A chronology of interpolation: from ancient astronomy to modern signal and image processing , 2002, Proc. IEEE.

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

[97]  Nikos Paragios,et al.  Image transport regression using mixture of experts and discrete Markov Random Fields , 2010, 2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[98]  J. Ashburner,et al.  Nonlinear spatial normalization using basis functions , 1999, Human brain mapping.

[99]  Philippe C. Cattin,et al.  Intensity-based elastic registration incorporating anisotropic landmark errors and rotational information , 2009, International Journal of Computer Assisted Radiology and Surgery.

[100]  Mark Holden,et al.  A Review of Geometric Transformations for Nonrigid Body Registration , 2008, IEEE Transactions on Medical Imaging.

[101]  Dongshan Fu,et al.  A Probabilistic Framework Based on Hidden Markov Model for Fiducial Identification in Image-Guided Radiation Treatments , 2008, IEEE Transactions on Medical Imaging.

[102]  Purang Abolmaesumi,et al.  Point-Based Rigid-Body Registration Using an Unscented Kalman Filter , 2007, IEEE Transactions on Medical Imaging.

[103]  Nassir Navab,et al.  Automatic bone detection and soft tissue aware ultrasound–CT registration for computer-aided orthopedic surgery , 2015, International Journal of Computer Assisted Radiology and Surgery.

[104]  Matthijs C. Dorst.  Distinctive Image Features from Scale-Invariant Keypoints , 2011 .