Variational Methods for Multimodal Image Matching

Partial Differential Equations

Chern, S.-S. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0082920 · Cited by 23,546

Scale-space and edge detection using anisotropic diffusion

Perona, P., & Malik, J. (1990) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.56205 · Cited by 12,143

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Mean shift: a robust approach toward feature space analysis

Comaniciu, D., & Meer, P. (2002) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.1000236 · Cited by 11,523

On Estimation of a Probability Density Function and Mode

Parzen, E. (1962) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177704472 · Cited by 10,831

Determining Optical Flow

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Multimodality image registration by maximization of mutual information

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Medical image analysis: progress over two decades and the challenges ahead

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Three-dimensional computer vision: a geometric viewpoint

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Alignment by Maximization of Mutual Information

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XeMRI to CT Lung Image Registration Enhanced with Personalized 4DCT-Derived Motion Model

Szmul, A., Matin, T., Gleeson, F. V., Schnabel, J. A., Grau, V., & Papież, B. W. (2018) · Lecture notes in computer science · doi:10.1007/978-3-030-00946-5_26 · Cited by 3

Fast variational alignment of non-flat 1D displacements for applications in neuroimaging

Flotho, P., Thinnes, D., Kühn, B., Roome, C. J., Vibell, J. F., & Strauß, D. J. (2021) · Journal of Neuroscience Methods · doi:10.1016/j.jneumeth.2021.109076 · Cited by 3

Incorporating Prior Knowledge on Class Probabilities into Local Similarity Measures for Intermodality Image Registration

Hofmann, M., Schölkopf, B., Bezrukov, I., Cahill, N. D., Wells, Joshi, S. C., & Pohl, K. M. (2009) · MPG.PuRe (Max Planck Society) · Cited by 3

1082 Free-breathing single-shot DENSE myocardial strain imaging using deformable registration

Le, Y., Kellman, P., Bennett, E. E., Lin, A., Chefd’hotel, C., Lorenz, C. H., & Wen, H. (2008) · Journal of Cardiovascular Magnetic Resonance · doi:10.1186/1532-429x-10-s1-a207 · Cited by 3

Difference imaging of inter- and intra-ictal SPECT images for the localization of seizure onset in epilepsy

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RIVAGe Feedback during Visual Integration : towards a Generic Architecture

Bullier, J., Rachid Deriche, B., Faugeras, O. D., Girard, P., Kornprobst, P., Papadopoulo, T., Viéville, T., Thorpe, S. J., Fize, D., & Guyonneau, R. (2004) · HAL · Cited by 3

Accuracy Evaluation for Region Centroid-Based Registration of Fluorescent CLSM Imagery

Lee, S., Bajcsy, P., Lin, A., & Folberg, R. (2006) · EURASIP Journal on Advances in Signal Processing · doi:10.1155/asp/2006/82480 · Cited by 3

Mathematical Foundations and Generalisations of the Census Transform for Robust Optic Flow Computation

Hafner, D., Demetz, O., Weickert, J., & Reißel, M. (2014) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-014-0529-9 · Cited by 2

Estimation of the blurring kernel in experimental HR-pQCT images based on mutual information

Li, Y., Sixou, B., & Peyrin, F. (2017) · European Signal Processing Conference (EUSIPCO) · doi:10.23919/eusipco.2017.8081577 · Cited by 2

Information-Theoretic Registration with Explicit Reorientation of Diffusion-Weighted Images

Jensen, H. G., Lauze, F., & Darkner, S. (2021) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-021-01050-2 · Cited by 2

A Variational Model for Deformable Registration of Uni-modal Medical Images with Intensity Biases

Nie, Z., Li, C., Liu, H., & Yang, X. (2021) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-021-01042-2 · Cited by 2

A statistical similarity measure for non-rigid multi-modal image registration

Shi, J.-L., Chen, Y., Rao, M., & Lee, J. (2010) · Medical Imaging · doi:10.1117/12.844553 · Cited by 4

On stochastic gradient descent and quadratic mutual information for image registration

Singh, A., & Ahuja, N. (2013) · Proceedings - International Conference on Image Processing · doi:10.1109/icip.2013.6738273 · Cited by 2

Automatic parameter regulation for CT/MRA viscous fluid registration

Tokuhisa, S., & Kaneko, K. (2010) · IEEE Region 10 Conference (TENCON) · doi:10.1109/tencon.2010.5685991 · Cited by 2

Fully automated mosaicking of pushbroom aerial imagery

Cariou, C., & Chehdi, K. (2008) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.2008.4517807 · Cited by 2

Unifying characterization of deformable registration methods based on the inherent parametrization: an attempt at an alternative analysis approach

Zikic, D., Kamen, A., & Navab, N. (2010) · Cited by 2

Most Likely Separation of Intensity and Warping Effects in Image Registration

Kühnel, L., Sommer, S., Pai, A., & Rakêt, L. L. (2017) · SIAM Journal on Imaging Sciences · doi:10.1137/16m1070980 · Cited by 2

The impact of matching functional on atrophy measurement from geodesic shooting in diffeomorphisms

Fleishman, G. M., & Thompson, P. M. (2017) · IEEE International Symposium on Biomedical Imaging (ISBI) · doi:10.1109/isbi.2017.7950655 · Cited by 2

Resolution Conversion of Volumetric Array Data for Multimodal Medical Image Analysis

Hosoya, K., Nozawa, K., & Imiya, A. (2020) · Communications in computer and information science · doi:10.1007/978-981-15-3651-9_16 · Cited by 2

Contour Propagation for Radiotherapy Treatment Planning Using Nonrigid Registration and Parameter Optimization: Case Studies in Liver and Breast Cancer

Vargas-Bedoya, E., Rivera, J. C., Puerta-Yepes, M. E., Angulo, A., Wahl, N., & Cabal, G. (2022) · Applied Sciences · doi:10.3390/app12178523 · Cited by 2

Mathematical Properties of Pyramid-Transform-Based Resolution Conversion and Its Applications

Hosoya, K., Nozawa, K., Itoh, H., & Imiya, A. (2023) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-023-01166-7 · Cited by 2

An Improved Convolutional Neural Network for 3D Unsupervised Medical Image Registration

Cai, G., Wang, J., & Chi, Z. (2020) · IEEE International Conference on Computer and Communications (ICCC) · doi:10.1109/iccc51575.2020.9344977 · Cited by 2

On complex-stepped Runge-Kutta methods for exact time integration of linear PDEs

Filatov, D. M. (2007) · Cited by 2

Supporting registration decisions during 3D medical volume reconstructions

Bajcsy, P., Lee, S., & Clutter, D. (2006) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.653854 · Cited by 2

Mutual information driven Inverse Consistent nonlinear registration

Tao, G., He, R., Datta, S., & Narayana, P. A. (2008) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/iembs.2008.4650076 · Cited by 2

Modelling Non-Rigid Dynamic Scenes from Multi-View Image Sequences

Pons, J.-P., Keriven, R., & Faugeras, O. D. (2005) · Springer eBooks · doi:10.1007/0-387-28831-7_27 · Cited by 2

From Phantoms to Patients: Improved Fusion and Voxel-Wise Analysis of Diffusion-Weighted Imaging and FDG-Positron Emission Tomography in Positron Emission Tomography/Magnetic Resonance Imaging for Combined Metabolic–Diffusivity Index (cDMI)

Deininger, K., Korf, P., Lauber, L., Grimm, R., Strecker, R., Steinacker, J., Lisson, C. S., Mühling, B., Schmidtke-Schrezenmeier, G., Rasche, V., et al. (2024) · Diagnostics · doi:10.3390/diagnostics14161787 · Cited by 1

Free‐Breathing Multi‐Slice Co‐Registered Cardiac T1 , T2 , and ADC Mapping With Spin‐Echo Echo Planar Imaging

Mai, D., Kara, D., Liu, Y., Moura, T. R. S., Sadıghı, M., Kanj, F., Wexler, E., Sosnovik, D. E., Hanna, M. A., Santangeli, P., et al. (2025) · Magnetic Resonance in Medicine · doi:10.1002/mrm.70181 · Cited by 1

Mathematical methods in biomedical imaging

Burger, M., Jan Modersitzki, C., & Tenbrinck, D. (2014) · GAMM-Mitteilungen · doi:10.1002/gamm.201410008 · Cited by 1

Intensity-Based Registration for Lung Motion Estimation

Cao, K., Ding, K., Amelon, R. E., Du, K., Reinhardt, J. M., Raghavan, M. L., & Christensen, G. E. (2013) · Biological and medical physics series · doi:10.1007/978-3-642-36441-9_7 · Cited by 1

Multi-scale Adaptive Mask 3D Rigid Registration of Ultrasound and CT Images

Zhijun, Z., Jerome, S., Soo, M. K., Yan, B., & Yeung, C. K. (2007) · British Machine Vision Conference (BMVC) · doi:10.5244/c.21.91 · Cited by 1

Symmetric multi-scale image registration

Mohagheghian, F., Ahmadian, A., Saberi, H., & Alirezaie, J. (2010) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/iembs.2010.5627551 · Cited by 1

Nonrigid image registration using similarity measure based on spatially weighted global probability distribution function

Hu, S., Shao, P., Hui-fen, J., & Zhang, W. (2013) · Optik · doi:10.1016/j.ijleo.2013.07.123 · Cited by 1

FAST, MULTI-MODAL AND DISCONTINUITY-PRESERVING IMAGE REGISTRATION USING MUTUAL INFORMATION

Panin, G. (2013) · International Journal of Artificial Intelligence Tools · doi:10.1142/s0218213013600154 · Cited by 1

Brain PET Attenuation Correction without CT: An Investigation

Dewan, M., Zhan, Y., Hermosillo, G., Jian, B., & Zhou, X. S. (2013) · International Workshop on Pattern Recognition in NeuroImaging · doi:10.1109/prni.2013.37 · Cited by 1

Information theoretic measures and their applications to image registration and segmentation

Vemuri, B. C., & Wang, F. (2006) · Cited by 1

Multichannel Parallel Deblurring and Collaborative Registration Using Gaussian Total Variation Regularization for Image Fusion

Guo, S., Lv, H., Liu, Y., Zhang, R., & Li, J. (2016) · Mathematical Problems in Engineering · doi:10.1155/2016/9491326 · Cited by 1

Imaging of COPD

Lee, S. M., Kim, S. S., Hwang, H. J., & Seo, J. B. (2017) · Springer eBooks · doi:10.1007/978-3-662-47178-4_8 · Cited by 1

- Nonparametric: Demons, Diffusion, and Viscous-Fluid Approaches

Sarrut, D., & Vandemeulebroucke, J. (2016) · CRC Press eBooks · doi:10.1201/b15359-14 · Cited by 1

Evaluation of a model-based attenuation correction method on whole-body 18F-fluorodeoxyglucose positron emission tomography/magnetic resonance imaging

Kubo, H., Nemoto, A., Ukon, N., & Ito, H. (2021) · Radiological Physics and Technology · doi:10.1007/s12194-020-00605-z · Cited by 1

First Order Locally Orderless Registration

Darkner, S., Tascón-Vidarte, J. D., & Lauze, F. (2021) · Lecture notes in computer science · doi:10.1007/978-3-030-75549-2_15 · Cited by 1

A new similarity measure for deformable image registration based on intensity matching

Lu, Y., Sun, Y., Liao, R., & Ong, S. H. (2013) · IEEE International Symposium on Biomedical Imaging (ISBI) · doi:10.1109/isbi.2013.6556455 · Cited by 1

Non-rigid image registration using mutual information

Maes, F., D’Agostino, E., Loeckx, D., Wouters, J., Vandermeulen, D., & Suetens, P. (2007) · Physica-Verlag eBooks · doi:10.1007/978-3-7908-1709-6_8 · Cited by 1

Problem solving with well posedness analysis: Part 1

Liebrock, L. M. (2006) · Applied Mathematics and Computation · doi:10.1016/j.amc.2006.03.019 · Cited by 1

Representative slice method for viscous fluid registration of three-dimensional whole-body human images

Tokuhisa, S., & Kaneko, K. (2009) · International Conference on Ubiquitous Information Management and Communication (IMCOM) · doi:10.1145/1516241.1516332 · Cited by 1

Semi-Rigid Registration of Remote Sensing Airborne Scanner Images

Cariou, C., & Chehdi, K. (2006) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.2006.1660470 · Cited by 1

Analyzing Effects of Intra-Uterine Cocaine Exposure on Adolescent Brain Structure with Symmetric Diffeomorphisms

Avants, B., Hurt, H., Giannetta, J. M., Epstein, C. L., Shera, D. M., Wang, J., & Gee, J. C. (2006) · IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) · doi:10.1109/cvprw.2006.30 · Cited by 1

[Correlative imaging in cardiology. Principles and clinical application].

Kuwert, T., Römer, W., & Joachim Hornegger, A. (2007) · PubMed · doi:10.1007/s00059-007-2959-2 · Cited by 1

Noninvasive Imaging of Carotid Arterial Strain Using Displacement-Encoded MRI

Lin, A. (2009) · doi:10.7907/q7nt-xn05

Elastic Registration for Biomedical Applications

Kybic, J., & Unser, M. A. (2007) · Springer eBooks · doi:10.1007/0-306-48608-3_9

Information-theoretic feature detection and its application to registration of ultrasound images

Wang, Z. W., Slabaugh, G., Ünal, G., & Fang, T. (2008) · Sabanci University

Quantitative and Qualitative Evaluation of Selected Lung MR Image Registration Techniques

Wujcicki, A., & Materka, A. (2014) · Lecture notes in computer science · doi:10.1007/978-3-319-11331-9_78

Kernel-Predictability: A New Information Measure and Its Application to Image Registration

Gómez-García, H. F., Marroquin, J. L., & Horebeek, J. V. (2006) · Lecture notes in computer science · doi:10.1007/11744078_39

Multimodal Three Dimensional Scene Reconstruction, The Gaussian Fields Framework

Boughorbel, F. (2005)

Hybrid Multimodal Deformable Registration with a Data-Driven Deformation Prior

Lu, Y., Sun, Y., Liao, R., & Ong, S. H. (2013) · Lecture notes in computer science · doi:10.1007/978-3-642-40843-4_6

Temporally consistent diffeomorphic motion estimation with mutual information: Application to echocardiographic sequences

Zhang, Z., Sahn, D. J., & Song, X. B. (2012) · 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops · doi:10.1109/cvprw.2012.6239252

Assembly method for multimodal image registration

Li, J., Chang, X., Xia, Y., & Han, Y. (2012) · IEEE International Conference on Granular Computing (GrC) · doi:10.1109/grc.2012.6468655

Edge preserving multi-modal registration based on gradient intensity self-similarity

Rott, T., Shriki, D., & Bendory, T. (2014) · IEEE Convention of Electrical and Electronics Engineers in Israel · doi:10.1109/eeei.2014.7005886

Closed-Form Relaxation for MRF-MAP Tissue Classification Using Discrete Laplace Equations

Roche, A. (2012) · Lecture notes in computer science · doi:10.1007/978-3-642-33418-4_44

Improved Elastic Registration of Low-Contrast Fluorescent Microscopy Images Using the Behaviour of Local Similarity

Seyyedi, M. A. P., Miller, P., & Gribben, H. (2011) · British Machine Vision Conference (BMVC) · doi:10.5244/c.25.92

Image registration by minimization of Mapping Complexity

Myronenko, A., & Song, X. (2009) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition workshops · doi:10.1109/cvprw.2009.5204345 · Cited by 2

A variational approach for correspondence finding between three rectified images

Kaminski, J. Y., Belhdeb, M., & Teicher, M. (2007)

An Interactive Method of Anatomical Segmentation and Gene Expression Estimation for an Experimental Mouse Brain Slice

Osokin, A., Vetrov, D., Lebedev, A. V., Galatenko, V., Kropotov, D., & Anokhin, K. V. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-21946-7_7

PDE-Based Parallel Deformable Registration on a Dual Core Cluster

Chen, L., Jiang, M., Lin, Y., Zhou, J. W., & Chang, B. (2008) · International Conference on Intelligent Networks and Intelligent Systems · doi:10.1109/icinis.2008.131

Discontinuity Preserving Image Registration for Breathing Induced Sliding Organ Motion

Fakultat, M. (2013)

IMAGE REGISTRATION USING COMPUTER TECHNIQUES: APPLICATIONS ON NUCLEAR MEDICINE IMAGES

Alves, R. D. S. (2013)

Diffusion Weighted Magnetic Resonance Image Analysis and Medical Image Registration

Zeng, Q. (2008) · University of Florida Digital Collections (University of Florida)

Recalage semi-rigide d'images de scanner aéroporté

Cariou, C., & Chehdi, K. (2005)

Applications of variational partial differential equation models in medical image processing

Huang, F., & Chen, Y. (2004)

Statistical Medical Image Registration with Applications in Epilepsy Diagnosis and Shape-Based Segmentation

Hahn, D. A. (2010) · OPUS FAU (Kooperativer Bibliotheksverbund Berlin-Brandenburg (KOBV), on behalf of the Universitätsbibliothek Erlangen-Nürnberg)

Alinhamento de Estruturas em Imagens Médicas: Estudo, Desenvolvimento e Aplicação

Jacob, F. L. (2008)

Surface Registration and Indexing for Brain Morphometry Analysis with Conformal Geometry

Shi, J. (2016)

AN APPROACH TO NONRIGID US-MRI REGISTRATION OF PELVIC ORGANS FOR ENDOMETRIOSIS DIAGNOSIS

Vaida, M.-C. U. M.-F., Dragos, S.-S., & Voina, L. S. A. (2012)

LAVIR—Locally adaptive variational image registration

Barcelos, C. A. Z. (2017) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2016.12.012

Local Area Transform for Cross-Modality Correspondence Matching and Deep Scene RecognitionPreprint

Ryu, S. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1901.00927

Variational Image Registration for Inhomogeneous-Resolution Pairs

Hosoya, K., & Imiya, A. (2019) · Lecture notes in computer science · doi:10.1007/978-3-030-22368-7_22

Locally Orderless RegistrationPreprint

Darkner, S., & Jon Sporring, A. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1205.5425

Matching and Registration of Structures in Computational Vision: Applications on Medical Images

Oliveira, F. P. M. (2012) · Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) · doi:10.34626/4qjz-6q57

Principles and Constraints of Nonrigid Registration

Giavri, Z., Costa, D. C., & Papanikolaou, N. K. (2020) · Medical radiology · doi:10.1007/978-3-030-38261-2_5

Functional Assessment of COPD

Hwang, H. J., Lee, S. M., & Seo, J. B. (2020) · Medical radiology · doi:10.1007/978-3-030-43539-4_8

First Order Locally Orderless RegistrationPreprint

Darkner, S., Tascón-Vidarte, J. D., & Lauze, F. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2108.04926

Multimodal Deformable Image Registration for Long-COVID Analysis Based on Progressive Alignment and Multi-perspective Loss

Li, J., Grist, J. T., Gleeson, F. V., & Papież, B. W. (2024) · Lecture notes in computer science · doi:10.1007/978-3-031-66958-3_16

Recalage variationnel non rigide statistique référencé région

Rougon, N. F., Discher, A., & Preteux, F. J. (2005) · HAL

A hybrid L-BFGS and Gauss–Newton approach for multimodal diffeomorphic image registration

Li, Y., Zhang, D., & Zhang, J. (2025) · Applied Mathematical Modelling · doi:10.1016/j.apm.2025.116506

Joint super-resolution/segmentation approaches for the tomographic images analysis of the bone micro-structure

Li, Y. (2018) · theses.fr (ABES) · doi:10.70675/6a3b3769zbc79z4869z96e3z720d9cae64e9 · Cited by 1

Multi-Modal Image Registration Problem Integrating Multi-Scale Strategy and Deep Learning

Zhang, J. (2026) · Mathematics · doi:10.3390/math14122131

Depth-Prior Guided Learning for Infrared-Visible Image Registration and Fusion

Zhang, Y., Yan, R., Wei, H., Ma, Y., Yu, B., & Zhong, W. (2026) · IEEE Signal Processing Letters · doi:10.1109/lsp.2026.3715133

3D image reconstruction from serial sections

Liu, Y. (2014) · Scholarly Commons (University of Pennsylvania)

c ○ 2002 Kluwer Academic Publishers. Manufactured in The Netherlands. Variational Methods for Multimodal Image Matching

Hermosillo, G., & Faugeras, O. D. (2001)

A statistical similarity measure for non-rigid multi-modal image registration

Shi, J.-L., Chen, Y., Rao, M., & Lee, J. (2010) · Medical Imaging · doi:10.1117/12.844553 · Cited by 4

A Variational Approach to Multi-Modal Image Matching

Chefd'Hotel, G., Hermosillo, G., Hermosillo, G., Faugeras, O. D., & Robotvis, P. (2001)

Non-rigid multimodal image registration based on local variability measures and optical flow

Reducindo, I., Arce-Santana, E., Campos-Delgado, D. U., & Vigueras-Gómez, F. (2012) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc.2012.6346135 · Cited by 10

Non-Rigid Multimodal Medical Image Registration Based on the Conditional Statistics of the Joint Intensity Distribution

Reducindo, I., Arce-Santana, E., Campos-Delgado, D. U., Vigueras-Gómez, F., Mejia-Rodriguez, A. R., Cattaneo, G. M., & Rizzo, G. (2013) · Procedia Technology · doi:10.1016/j.protcy.2013.04.016 · Cited by 3