Variational problems on flows of diffeomorphisms for image matching

Theory of elasticity

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Ordinary Differential Equations

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Weakly Differentiable Functions

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Deformable templates using large deformation kinematics

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Multiresolution elastic matching

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Stochastic Flows and Stochastic Differential Equations

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Representations of Knowledge in Complex Systems

Grenander, U., & Miller, M. I. (1994) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1994.tb02000.x · Cited by 619

Mathematical textbook of deformable neuroanatomies.

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3D brain mapping using a deformable neuroanatomy

Christensen, G. E., Rabbitt, R. D., & Miller, M. I. (1994) · Physics in Medicine and Biology · doi:10.1088/0031-9155/39/3/022 · Cited by 358

Structural Image Restoration through Deformable Templates

Amit, Y., Grenander, U., & Piccioni, M. (1991) · Journal of the American Statistical Association · doi:10.1080/01621459.1991.10475053 · Cited by 325

Geodesic Image Matching: A Wavelet Based Energy Minimization Scheme

Garcin, L., & Laurent Younes, B. (2005) · Lecture notes in computer science · doi:10.1007/11585978_23 · Cited by 17

Diffeomorphic Atlas Estimation using Geodesic Shooting on Volumetric Images

Vialard, F., Risser, L., Rueckert, D., & Holm, D. D. (2012) · Cited by 16

Comparison of four shape features for detecting hippocampal shape changes in early Alzheimer's

Beg, M. F., Raamana, P. R., Barbieri, S., & Wang, L. (2012) · Statistical Methods in Medical Research · doi:10.1177/0962280212448975 · Cited by 18

Diffeomorphic Metric Landmark Mapping Using Stationary Velocity Field Parameterization

Yang, X., Li, Y., Reutens, D. C., & Jiang, T. (2015) · International Journal of Computer Vision · doi:10.1007/s11263-015-0802-4 · Cited by 16

Computational anatomy and diffeomorphometry: A dynamical systems model of neuroanatomy in the soft condensed matter continuum

Miller, M. I., Arguillère, S., Tward, D. J., & Laurent Younes, B. (2018) · WIREs Systems Biology and Medicine · doi:10.1002/wsbm.1425 · Cited by 17

Facial expression recognition based on diffeomorphic matching

Yousefi, S., Nguyen, M. P., Kehtarnavaz, N., & Cao, Y. (2010) · Proceedings - International Conference on Image Processing · doi:10.1109/icip.2010.5650670 · Cited by 16

How to deal with point correspondences and tangential velocities in the level set framework

Pons, Hermosillo, Keriven, & Faugeras (2003) · IEEE/CVF International Conference on Computer Vision (ICCV) · doi:10.1109/iccv.2003.1238443 · Cited by 16

Singular solutions, momentum maps and computational anatomyPreprint

Cotter, C. J., & Holm, D. D. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.nlin/0605020 · Cited by 16

Do ideas have shape? Idea registration as the continuous limit of artificial neural networks

Owhadi, H. (2022) · Physica D Nonlinear Phenomena · doi:10.1016/j.physd.2022.133592 · Cited by 28

A survey of medical applications of 3D image analysis and computer graphics

Muraki, S., & Kita, Y. (2005) · Systems and Computers in Japan · doi:10.1002/scj.20393 · Cited by 14

Probabilistic Diffeomorphic Registration: Representing Uncertainty?

Wassermann, D., Toews, M., Niethammer, M., & Wells, W. M. (2016) · Cited by 15

Variational time discretization of Riemannian splines

Heeren, B., Rumpf, M., & Wirth, B. (2017) · IMA Journal of Numerical Analysis · doi:10.1093/imanum/drx077 · Cited by 21

Constructing an atlas for the diffeomorphism group of a compact manifold with boundary, with application to the analysis of image registrations

Twining, C., & Marsland, S. (2007) · Journal of Computational and Applied Mathematics · doi:10.1016/j.cam.2007.11.008 · Cited by 15

Template-Based Image Reconstruction from Sparse Tomographic Data

Lang, L. F., Neumayer, S., Öktem, O., & Schönlieb, C. (2019) · Applied Mathematics & Optimization · doi:10.1007/s00245-019-09573-2 · Cited by 14

Variational Methods in Shape Analysis

Rumpf, M., & Wirth, B. (2015) · Handbook of Mathematical Methods in Imaging · doi:10.1007/978-1-4939-0790-8_56 · Cited by 19

Probabilistic Diffeomorphic Registration: Representing Uncertainty

Wassermann, D., Toews, M., Niethammer, M., & Wells, W. M. (2014) · Lecture notes in computer science · doi:10.1007/978-3-319-08554-8_8 · Cited by 14

SUB-RIEMANNIAN STRUCTURES ON GROUPS OF DIFFEOMORPHISMS

Arguillère, S., & Trélat, E. (2015) · Journal of the Institute of Mathematics of Jussieu · doi:10.1017/s1474748015000249 · Cited by 14

A Combinatorial Solution to Non-Rigid 3D Shape-to-Image Matching

Bernard, F., Schmidt, F. R., Thunberg, J., & Cremers, D. (2017) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr.2017.157 · Cited by 14

Least action principles for incompressible flows and geodesics between shapes

Liu, J., Pego, R. L., & Slepčev, D. (2019) · Calculus of Variations and Partial Differential Equations · doi:10.1007/s00526-019-1636-7 · Cited by 14

Advanced Normalization Tools for Cardiac Motion Correction

Tustison, N. J., Yang, Y., & Salerno, M. (2014) · Lecture notes in computer science · doi:10.1007/978-3-319-14678-2_1 · Cited by 14

Variable precision registration via wavelets: Optimal spatial scales for inter-subject registration of functional MRI

John Suckling, A., Long, C., Triantafyllou, C., Brammer, M. J., & Bullmore, E. T. (2006) · NeuroImage · doi:10.1016/j.neuroimage.2005.11.032 · Cited by 14

Computing metamorphoses between discrete measures

Richardson, C. L., & Laurent Younes, B. (2013) · The Journal of Geometric Mechanics · doi:10.3934/jgm.2013.5.131 · Cited by 14

Symmetric Geodesic Shape Averaging and Shape Interpolation

Avants, B., & Gee, J. C. (2004) · Lecture notes in computer science · doi:10.1007/978-3-540-27816-0_9 · Cited by 14

Kernel Bundle EPDiff: Evolution Equations for Multi-scale Diffeomorphic Image Registration

Sommer, S., Lauze, F., Nielsen, M., & Pennec, X. (2012) · Lecture notes in computer science · doi:10.1007/978-3-642-24785-9_57 · Cited by 13

An Iterative Diffeomorphic Algorithm for Registration of Subdivision Surfaces: Application to Congenital Heart Disease

Mauger, C., Gilbert, K., Suinesiaputra, A., Pontré, B. P., Omens, J. H., McCulloch, A. D., & Young, A. A. (2018) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc.2018.8512394 · Cited by 13

A fast multi grid algorithm for 2D diffeomorphic image registration model

Han, H., & Wang, A. (2021) · Journal of Computational and Applied Mathematics · doi:10.1016/j.cam.2021.113576 · Cited by 13

Registration of Multiple Shapes using Constrained Optimal Control

Arguillère, S., Trélat, E., Trouvé, A., & Laurent Younes, B. (2016) · SIAM Journal on Imaging Sciences · doi:10.1137/15m1006726 · Cited by 13

A lattice Boltzmann method applied to the fluid image registration

Alahyane, M., Hakim, A., Laghrib, A., & Raghay, S. (2019) · Applied Mathematics and Computation · doi:10.1016/j.amc.2018.12.051 · Cited by 13

Scale-Space Methods and Regularization for Denoising and Inverse Problems

Scherzer, O. (2003) · Advances in imaging and electron physics · doi:10.1016/s1076-5670(03)80067-8 · Cited by 13

Elastic registration and shape analysis of functional objects

Zhang, Z., Xie, Q., & Srivastava, A. (2015) · Wiley series in probability and statistics · doi:10.1002/9781118866641.ch11 · Cited by 13

Model Calibration via Deformation

Kleiber, W., Sain, S. R., & Wiltberger, M. J. (2014) · SIAM/ASA Journal on Uncertainty Quantification · doi:10.1137/130935367 · Cited by 12

Image atlas construction via intrinsic averaging on the manifold of images

Xie, Y., Ho, J. C. F., & Vemuri, B. C. (2010) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr.2010.5540035 · Cited by 12

An optimization method for elastic shape matching

de Buhan, M., Dapogny, C., Frey, P., & Nardoni, C. (2016) · Comptes Rendus Mathématique · doi:10.1016/j.crma.2016.05.007 · Cited by 12

Morphing of Manifold-Valued Images Inspired by Discrete Geodesics in Image Spaces

Neumayer, S., Persch, J., & Steidl, G. (2018) · SIAM Journal on Imaging Sciences · doi:10.1137/17m1150906 · Cited by 12

Regularization of inverse problems via time discrete geodesics in image spaces

Neumayer, S., Persch, J., & Steidl, G. (2019) · Inverse Problems · doi:10.1088/1361-6420/ab038a · Cited by 12

Multimodal cross‐registration and quantification of metric distortions in marmoset whole brain histology using diffeomorphic mappings

Lee, B. C., Lin, M. K., Fu, Y., Hata, J., Miller, M. I., & Mitra, P. P. (2020) · The Journal of Comparative Neurology · doi:10.1002/cne.24946 · Cited by 13

Computational anatomy: computing metrics on anatomical shapes

Beg, M. F., Miller, M. I., Trouvé, A., & Laurent Younes, B. (2003) · IEEE International Symposium on Biomedical Imaging (ISBI) · doi:10.1109/isbi.2002.1029263 · Cited by 12

Using longitudinal metamorphosis to examine ischemic stroke lesion dynamics on perfusion-weighted images and in relation to final outcome on T2-w images

Rekik, I., Allassonnière, S., Carpenter, T. K., & Wardlaw, J. M. (2014) · NeuroImage Clinical · doi:10.1016/j.nicl.2014.07.009 · Cited by 12

Extension to infinite dimensions of a stochastic second-order model associated with shape splines

Vialard, F. (2013) · Stochastic Processes and their Applications · doi:10.1016/j.spa.2013.01.012 · Cited by 12

Discrete Geodesic Regression in Shape Space

Berkels, B., Fletcher, P., Heeren, B., Rumpf, M., & Wirth, B. (2013) · Energy Minimization Methods in Computer Vision and Pattern Recognition · doi:10.1007/978-3-642-40395-8_9 · Cited by 16

The Euler-Lagrange Equation for Interpolating Sequence of Landmark Datasets

Beg, M. F., Miller, M. I., Trouvé, A., & Laurent Younes, B. (2003) · Lecture notes in computer science · doi:10.1007/978-3-540-39903-2_112 · Cited by 12

The metric spaces, Euler equations, and normal geodesic image motions of computational anatomy

Miller, M. I., Trouvé, A., & Laurent Younes, B. (2004) · Proceedings - International Conference on Image Processing · doi:10.1109/icip.2003.1246760 · Cited by 12

Large Deformation Diffeomorphic Metric Mapping of Orientation Distribution Functions

Du, J. T., Goh, A., & Qiu, A. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-22092-0_37 · Cited by 12

Optical Flow

Becker, F., Petra, S., & Schnörr, C. (2015) · Springer eBooks · doi:10.1007/978-1-4939-0790-8_38 · Cited by 14

Subpopulation Brain Atlases

Thompson, P. M., Mega, M. S., & Toga, A. W. (2002) · Elsevier eBooks · doi:10.1016/b978-012693019-1/50030-7 · Cited by 12

Do ideas have shape? Plato's theory of forms as the continuous limit of artificial neural networks.

Owhadi, H. (2020) · CaltechAUTHORS (California Institute of Technology) · Cited by 11

A controllability approach to shape identification

Azencott, R., Glowinski, R., & Ramos, A. M. (2008) · Applied Mathematics Letters · doi:10.1016/j.aml.2007.08.013 · Cited by 11

A Diffeomorphic Mapping Based Characterization of Temporal Sequences: Application to the Pelvic Organ Dynamics Assessment

Rahim, M., Bellemare, M., Bulot, R., & Pirró, N. (2012) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-012-0391-6 · Cited by 11

Statistical Analysis of Functions on Surfaces, With an Application to Medical Imaging

Lila, E., & Aston, J. A. D. (2019) · Journal of the American Statistical Association · doi:10.1080/01621459.2019.1635479 · Cited by 11

An optimized tissue clearing protocol for rat brain labeling, imaging, and high throughput analysisPreprint

Branch, A., Tward, D. J., Kolstad, A. C., Pulyadi, V., Vogelstein, J. T., Wu, Z., & Gallagher, M. (2019) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/639674 · Cited by 11

Temporally diffeomorphic cardiac motion estimation from three-dimensional echocardiography by minimization of intensity consistency error

Zhang, Z., Ashraf, M., Sahn, D. J., & Song, X. B. (2014) · Medical Physics · doi:10.1118/1.4867864 · Cited by 10

Locally Linear Diffeomorphic Metric Embedding (LLDME) for surface-based anatomical shape modeling

Yang, X., Goh, A., & Qiu, A. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2011.01.069 · Cited by 10

Diffeomorphic Surface Flows: A Novel Method of Surface Evolution

Zhang, S., Laurent Younes, B., Zweck, J. W., & Ratnanather, J. T. (2008) · SIAM Journal on Applied Mathematics · doi:10.1137/060664707 · Cited by 10

Geodesic Warps by Conformal Mappings

Marsland, S., McLachlan, R. I., Modin, K., & Perlmutter, M. (2012) · International Journal of Computer Vision · doi:10.1007/s11263-012-0584-x · Cited by 10

Nonlinear image registration with bidirectional metric and reciprocal regularization

Ying, S., Li, D., Xiao, B., Peng, Y., Du, S., & Xu, M. (2017) · PLoS ONE · doi:10.1371/journal.pone.0172432 · Cited by 10

The r-Hunter–Saxton equation, smooth and singular solutions and their approximation

Cotter, C. J., Deasy, J., & Pryer, T. (2020) · Nonlinearity · doi:10.1088/1361-6544/abab4d · Cited by 10

Spatiotemporal imaging with diffeomorphic optimal transportation

Chen, C. (2021) · Inverse Problems · doi:10.1088/1361-6420/ac2a91 · Cited by 10

Projective diffeomorphic mapping of molecular digital pathology with tissue MRI

Stouffer, K. M., Witter, M. P., Tward, D. J., & Miller, M. I. (2022) · Communications Engineering · doi:10.1038/s44172-022-00044-1 · Cited by 10

Diffusion maps as a framework for shape modeling

Thorstensen, N., Étyngier, P., Ségonne, F., & Keriven, R. (2011) · Computer Vision and Image Understanding · doi:10.1016/j.cviu.2011.01.002 · Cited by 10

Large deformation diffeomorphic metric mapping of fiber orientations

Cao, Y., Miller, M. I., Winslow, R. L., & Laurent Younes, B. (2005) · IEEE/CVF International Conference on Computer Vision (ICCV) · doi:10.1109/iccv.2005.132 · Cited by 10

A variational problem arising in registration of diffusion tensor images

Han, H., & Zhou, H. (2017) · Acta Mathematica Scientia · doi:10.1016/s0252-9602(17)30020-6 · Cited by 10

Geodesic Image Normalization and Temporal Parameterization in the Space of Diffeomorphisms

Avants, B., Epstein, C. L., & Gee, J. C. (2006) · Lecture notes in computer science · doi:10.1007/11812715_2 · Cited by 10

Geodesic Matching with Free Extremities

Garcin, L., & Laurent Younes, B. (2006) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-006-6729-1 · Cited by 10

Multidirectional and Topography-based Dynamic-scale Varifold Representations with Application to Matching Developing Cortical Surfaces

Rekik, I., Li, G., Lin, W., & Shen, D. G. (2016) · NeuroImage · doi:10.1016/j.neuroimage.2016.04.037 · Cited by 9

A kernel class allowing for fast computations in shape spaces induced by diffeomorphisms

Jain, A., & Laurent Younes, B. (2012) · Journal of Computational and Applied Mathematics · doi:10.1016/j.cam.2012.10.019 · Cited by 9

Estimating diffeomorphic mappings between templates and noisy data: Variance bounds on the estimated canonical volume form

Tward, D. J., Mitra, P. P., & Miller, M. I. (2018) · Quarterly of Applied Mathematics · doi:10.1090/qam/1527 · Cited by 9

Approximations of the Diffeomorphic Metric and Their Applications in Shape Learning

Yang, X., Goh, A., & Qiu, A. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-22092-0_22 · Cited by 9

Quantization and analysis of hippocampal morphometric changes due to dementia of Alzheimer type using metric distances based on large deformation diffeomorphic metric mapping

Ceyhan, E., Beg, M. F., Ceritoglu, C., Wang, L., Morris, J. C., Csernansky, J. G., Miller, M. I., & Ratnanather, J. T. (2011) · Computerized Medical Imaging and Graphics · doi:10.1016/j.compmedimag.2011.01.005 · Cited by 9

Diffeomorphic Surface Registration with Atrophy Constraints

Arguillère, S., Miller, M. I., & Laurent Younes, B. (2016) · SIAM Journal on Imaging Sciences · doi:10.1137/15m104431x · Cited by 9

Convergence of the Time Discrete Metamorphosis Model on Hadamard Manifolds

Effland, A., Neumayer, S., & Rumpf, M. (2020) · SIAM Journal on Imaging Sciences · doi:10.1137/19m1247073 · Cited by 9

Geodesic Image Interpolation: Parameterizing and Interpolating Spatiotemporal Images

Avants, B., Epstein, C. L., & Gee, J. C. (2005) · Lecture notes in computer science · doi:10.1007/11567646_21 · Cited by 9

Combining geodesic interpolating splines and affine transformations

Laurent Younes, B. (2006) · IEEE Transactions on Image Processing · doi:10.1109/tip.2005.864163 · Cited by 9

Invariant higher-order variational problems: Reduction, geometry and applications

Meier, D. M. (2013) · Spiral (Imperial College London) · doi:10.25560/18055 · Cited by 9

3D diffeomorphic image registration with Cauchy–Riemann constraint and lower bounded deformation divergence

Han, H., & Wang, Z. (2022) · ESAIM Mathematical Modelling and Numerical Analysis · doi:10.1051/m2an/2022080 · Cited by 8

Nonrigid Image Registration With Crystal Dislocation Energy

Luo, Y., & Chung, A. C. S. (2012) · IEEE Transactions on Image Processing · doi:10.1109/tip.2012.2205005 · Cited by 8

Image Extrapolation for the Time Discrete Metamorphosis Model: Existence and Applications

Effland, A., Rumpf, M., & Schäfer, F. (2018) · SIAM Journal on Imaging Sciences · doi:10.1137/17m1129544 · Cited by 8

Primal and Mixed Finite Element Methods for Deformable Image Registration Problems

Barnafi, N. A., Gatica, G. N., & Hurtado, D. E. (2018) · SIAM Journal on Imaging Sciences · doi:10.1137/17m115219x · Cited by 8

Accelerating multi-scale flows for LDDKBM diffeomorphic registration

Sommer, S. (2011) · IEEE International Conference on Computer Vision Workshops · doi:10.1109/iccvw.2011.6130284 · Cited by 8

Solving the where problem and quantifying geometric variation in neuroanatomy using generative diffeomorphic mappingPreprint

Tward, D. J., Gray, B., Li, X., Huo, B., Banerjee, S., Savoia, S., Mezias, C., Das, S., Miller, M. I., & Mitra, P. P. (2020) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2020.03.22.002618 · Cited by 8

Geodesics, Splines, and Embeddings in Spaces of Images

Rajković, M. (2023) · bonndoc (University of Bonn) · Cited by 8

Metamorphic image registration using a semi-Lagrangian schemePreprint

Fran\c{c}ois, A., Gori, P., & Glaunès, J. (2021) · arXiv (Cornell University) · Cited by 8

Shape Spaces

Trouvé, A., & Laurent Younes, B. (2010) · Springer eBooks · doi:10.1007/978-0-387-92920-0_30 · Cited by 7

Geometry and Statistics: Manifolds and Stratified Spaces

Feragen, A., Nielsen, M., Jensen, E. B. V., Plessis, A. D., & Lauze, F. (2014) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-014-0504-5 · Cited by 7

Two-dimensional density estimation using smooth invertible transformations

Anderes, E., & Coram, M. (2010) · Journal of Statistical Planning and Inference · doi:10.1016/j.jspi.2010.09.019 · Cited by 7

Ontological labels for automated location of anatomical shape differences

Steinert‐Threlkeld, S., Ardekani, S., Mejino, J. L. V., Detwiler, L. T., Brinkley, J. F., Halle, M., Kikinis, R., Winslow, R. L., Miller, M. I., & Ratnanather, J. T. (2012) · Journal of Biomedical Informatics · doi:10.1016/j.jbi.2012.02.013 · Cited by 7

A Linear Elastic Force Optimization Model for Shape Matching

Simon, K., Sheorey, S., Jacobs, D. W., & Basri, R. (2014) · Journal of Mathematical Imaging and Vision · doi:10.1007/s10851-014-0520-5 · Cited by 7

Metric Spaces of Shapes and Geometries Constructed from Set Parametrized Functions

Delfour, M. C. (2015) · International series of numerical mathematics · doi:10.1007/978-3-319-17563-8_4 · Cited by 7

A fractional-order decomposition model of image registration and its numerical algorithm

Han, H. (2020) · Computational and Applied Mathematics · doi:10.1007/s40314-020-1066-3 · Cited by 7

Deformation trajectory prediction using a neural network trained on finite element data—application to library of CTVs creation for cervical cancer

Beekman, C., Schaake, E. E., Sonke, J., & Remeijer, P. (2021) · Physics in Medicine and Biology · doi:10.1088/1361-6560/ac2c9b · Cited by 7

Shape Spaces

Trouvé, A., & Laurent Younes, B. (2015) · Springer eBooks · doi:10.1007/978-1-4939-0790-8_55 · Cited by 7

Unbiased Diffeomorphic Mapping of Longitudinal Data with Simultaneous Subject Specific Template Estimation

Tward, D. J., Miller, M. I., & Initiative, T. A. D. N. (2017) · Lecture notes in computer science · doi:10.1007/978-3-319-67675-3_12 · Cited by 7

Sub-Riemannian Methods in Shape Analysis

Laurent Younes, B., Gris, B., & Trouvé, A. (2020) · Springer eBooks · doi:10.1007/978-3-030-31351-7_17 · Cited by 7

Computational Anatomy and Implicit Object Representation: A Level Set Approach

Liao, W.-H., Vese, L. A., Huang, S., Bergsneider, M., & Osher, S. (2003) · Lecture notes in computer science · doi:10.1007/978-3-540-39701-4_5 · Cited by 7

Analysis of Metric Distances and Volumes of Hippocampi Indicates Different Morphometric Changes over Time in Dementia of Alzheimer Type and Nondemented SubjectsPreprint

Ceyhan, E., Ceritoglu, C., Beg, M. F., Wang, L., Morris, J. C., Csernansky, J. G., Miller, M. I., & Ratnanather, J. T. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0806.1473 · Cited by 7

A general spline representation for nonparametric and semiparametric density estimates using diffeomorphismsPreprint

Anderes, E., & Coram, M. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1205.5314 · Cited by 7

Cross-modality mapping using image varifolds to align tissue-scale atlases to molecular-scale measures with application to 2D brain sections

Stouffer, K. M., Trouvé, A., Laurent Younes, B., Kunst, M., Ng, L., Zeng, H., Anant, M. M.-G., Fan, J., Kim, Y., Chen, X., et al. (2024) · Nature Communications · doi:10.1038/s41467-024-47883-4 · Cited by 9

Randomness of Shapes and Statistical Inference on Shapes via the Smooth Euler Characteristic Transform

Meng, K., Wang, J., Crawford, L. A., & Eloyan, A. (2024) · Journal of the American Statistical Association · doi:10.1080/01621459.2024.2353947 · Cited by 17

Analysis of mitochondrial shape dynamics using large deformation diffeomorphic metric curve matching

Hui-lin, Y., Wang, J., Tang, H., Ba, Q., Yang, G., & Tang, X. (2017) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc.2017.8037748 · Cited by 6

A discretize–optimize approach for LDDMM registration

Polzin, T., Niethammer, M., Vialard, F., & Jan Modersitzki, C. (2019) · Elsevier eBooks · doi:10.1016/b978-0-12-814725-2.00022-4 · Cited by 6

Multi scale diffeomorphic metric mapping of spatial transcriptomics datasets

Miller, M. I., Fan, J., & Tward, D. J. (2021) · IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) · doi:10.1109/cvprw53098.2021.00504 · Cited by 7

Landmark matching via large deformation diffeomorphisms

Joshi, S. C., & Miller, M. I. (2000) · IEEE Transactions on Image Processing · doi:10.1109/83.855431 · Cited by 500

Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms

Beg, M. F., Miller, M. I., Trouvé, A., & Laurent Younes, B. (2004) · International Journal of Computer Vision · doi:10.1023/b:visi.0000043755.93987.aa · Cited by 1,764

Landmark Matching via Large Deformation

Joshi, S. C., & Miller, M. I. (2013)

On Variational Problems and Gradient Flows in Image Processing

Droske, M. (2005)

Hamiltonian approach to geodesic image matchingPreprint

Vialard, F. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0801.2095 · Cited by 3