A New Variational Model for Joint Image Reconstruction and Motion Estimation in Spatiotemporal Imaging

We propose a new variational model for joint image reconstruction and motion estimation applicable to spatiotemporal imaging, which is investigated along a general framework that we present with sh...

[1]  E. Sidky,et al.  Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle–Pock algorithm , 2011, Physics in medicine and biology.

[2]  Katsuyuki Taguchi,et al.  Motion Compensated Fan-Beam Reconstruction for Nonrigid Transformation , 2008, IEEE Transactions on Medical Imaging.

[3]  Guoliang Xu,et al.  Gradient-flow-based semi-implicit finite-element method and its convergence analysis for image reconstruction , 2012 .

[4]  G. Lucignani.  Respiratory and cardiac motion correction with 4D PET imaging: shooting at moving targets , 2009, European Journal of Nuclear Medicine and Molecular Imaging.

[5]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[6]  Alain Trouvé,et al.  Shape Spaces , 2015, Handbook of Mathematical Methods in Imaging.

[7]  Martins Bruveris,et al.  On Completeness of Groups of Diffeomorphisms , 2014, 1403.2089.

[8]  Xiaochuan Pan,et al.  Image reconstruction and scan configurations enabled by optimization-based algorithms in multispectral CT , 2017, Physics in medicine and biology.

[9]  David Mumford,et al.  What is Pattern Theory , 2010 .

[10]  Jeffrey A. Fessler,et al.  Fast X-Ray CT Image Reconstruction Using a Linearized Augmented Lagrangian Method With Ordered Subsets , 2014, IEEE Transactions on Medical Imaging.

[11]  L. Younes.  Shapes and Diffeomorphisms , 2010 .

[12]  Nevzat Onur Domaniç,et al.  Shape-based image reconstruction using linearized deformations , 2017, Inverse problems.

[13]  F. Natterer.  The Mathematics of Computerized Tomography , 1986 .

[14]  Magdalena Rafecas,et al.  Joint image and motion reconstruction for PET using a B-spline motion model , 2012, Physics in medicine and biology.

[15]  Martin Gotthardt,et al.  Amplitude-based optimal respiratory gating in positron emission tomography in patients with primary lung cancer , 2014, European Radiology.

[16]  Martin Burger,et al.  A Hyperelastic Regularization Energy for Image Registration , 2013, SIAM J. Sci. Comput..

[17]  Marcus Brehm,et al.  Cardiorespiratory motion-compensated micro-CT image reconstruction using an artifact model-based motion estimation. , 2015, Medical physics.

[18]  Steve B. Jiang,et al.  4D Computed Tomography Reconstruction from Few-Projection Data via Temporal Non-local Regularization , 2010, MICCAI.

[19]  Chong Chen,et al.  Indirect Image Registration with Large Diffeomorphic Deformations , 2017, SIAM J. Imaging Sci..

[20]  E. Sidky,et al.  Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT , 2009, 0904.4495.

[21]  Michael I. Miller,et al.  Pattern Theory: From Representation to Inference , 2007 .

[22]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.

[23]  D. W. Thompson,et al.  On growth and form / by D'Arcy Wentworth Thompson. , 1945 .

[24]  Martin Szegedi,et al.  4D CT image reconstruction with diffeomorphic motion model , 2012, Medical Image Anal..

[25]  Darryl D. Holm,et al.  Geometry of Image Registration: The Diffeomorphism Group and Momentum Maps , 2013, 1306.6854.

[26]  O. Schober,et al.  List Mode–Driven Cardiac and Respiratory Gating in PET , 2009, Journal of Nuclear Medicine.

[27]  M O Leach,et al.  Implications of respiratory motion for the quantification of 2D MR spectroscopic imaging data in the abdomen. , 2000, Physics in medicine and biology.

[28]  Guoliang Xu,et al.  A new linearized split Bregman iterative algorithm for image reconstruction in sparse-view X-ray computed tomography , 2016, Comput. Math. Appl..

[29]  Xiaoyi Jiang,et al.  Lung motion correction on respiratory gated 3-D PET/CT images , 2006, IEEE Transactions on Medical Imaging.

[30]  Heinz H. Bauschke,et al.  Convex Analysis and Monotone Operator Theory in Hilbert Spaces , 2011, CMS Books in Mathematics.

[31]  Alain Trouvé,et al.  Hamiltonian Systems and Optimal Control in Computational Anatomy: 100 Years Since D'Arcy Thompson. , 2015, Annual review of biomedical engineering.

[32]  Carola-Bibiane Schönlieb,et al.  A Variational Model for Joint Motion Estimation and Image Reconstruction , 2016, SIAM J. Imaging Sci..

[33]  Hongkai Zhao,et al.  Robust principal component analysis-based four-dimensional computed tomography , 2011, Physics in medicine and biology.

[34]  Katsuyuki Taguchi,et al.  A fully four-dimensional, iterative motion estimation and compensation method for cardiac CT. , 2012, Medical physics.

[35]  Otmar Scherzer,et al.  Variational Methods in Imaging , 2008, Applied mathematical sciences.

[36]  James Hamill,et al.  Optimal gating compared to 3D and 4D PET reconstruction for characterization of lung tumours , 2011, European Journal of Nuclear Medicine and Molecular Imaging.

[37]  Stefan Sawall,et al.  Iterative 4D cardiac micro-CT image reconstruction using an adaptive spatio-temporal sparsity prior , 2012, Physics in medicine and biology.

[38]  Xiaoyi Jiang,et al.  Motion Correction in Dual Gated Cardiac PET Using Mass-Preserving Image Registration , 2012, IEEE Transactions on Medical Imaging.

[39]  Pierre Kornprobst,et al.  Mathematical problems in image processing - partial differential equations and the calculus of variations , 2010, Applied mathematical sciences.

[40]  Xiaoyi Jiang,et al.  Respiratory Motion Correction in 3-D PET Data With Advanced Optical Flow Algorithms , 2008, IEEE Transactions on Medical Imaging.

[41]  O. Schober,et al.  Respiratory gating in positron emission tomography: a quantitative comparison of different gating schemes. , 2007, Medical physics.

[42]  Marcus Brehm,et al.  Self-adapting cyclic registration for motion-compensated cone-beam CT in image-guided radiation therapy. , 2012, Medical physics.

[43]  Y. Wang,et al.  Cardiac motion of coronary arteries: variability in the rest period and implications for coronary MR angiography. , 1999, Radiology.

[44]  David Thomas,et al.  5D respiratory motion model based image reconstruction algorithm for 4D cone-beam computed tomography , 2015 .

[45]  Mohammad Dawood,et al.  Motion Correction in Emission Tomography , 2012 .

[46]  Alain Trouvé,et al.  Diffeomorphisms Groups and Pattern Matching in Image Analysis , 1998, International Journal of Computer Vision.

[47]  Florian Büther,et al.  Optimal number of respiratory gates in positron emission tomography: a cardiac patient study. , 2009, Medical physics.

[48]  Michael Brady,et al.  Motion Correction and Attenuation Correction for Respiratory Gated PET Images , 2011, IEEE Transactions on Medical Imaging.

[49]  Wenjia Bai,et al.  Regularized B-spline deformable registration for respiratory motion correction in PET images , 2008 .

[50]  Alain Trouvé,et al.  Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms , 2005, International Journal of Computer Vision.

[51]  L. Younes,et al.  On the metrics and euler-lagrange equations of computational anatomy. , 2002, Annual review of biomedical engineering.

[52]  Florian Büther,et al.  Organ movement reduction in PET/CT using dual-gated list-mode acquisition. , 2006, Zeitschrift fur medizinische Physik.

[53]  Maria Iatrou,et al.  Nonrigid registration-based coronary artery motion correction for cardiac computed tomography. , 2012, Medical physics.

[54]  H. Schumacher,et al.  Combined Reconstruction and Motion Correction in SPECT Imaging , 2009, IEEE Transactions on Nuclear Science.

[55]  U. Chatterjee,et al.  Effect of unconventional feeds on production cost, growth performance and expression of quantitative genes in growing pigs , 2022, Journal of the Indonesian Tropical Animal Agriculture.

[56]  Marcus Brehm,et al.  Artifact-resistant motion estimation with a patient-specific artifact model for motion-compensated cone-beam CT. , 2013, Medical physics.

[57]  Marc Faraggi,et al.  Impact of a new respiratory amplitude-based gating technique in evaluation of upper abdominal PET lesions. , 2014, European journal of radiology.

[58]  Alain Trouvé,et al.  Geodesic Shooting for Computational Anatomy , 2006, Journal of Mathematical Imaging and Vision.

[59]  Daniel Rueckert,et al.  Diffeomorphic 3D Image Registration via Geodesic Shooting Using an Efficient Adjoint Calculation , 2011, International Journal of Computer Vision.