Incorporation of the Superiorization Methodology into Biomedical Imaging Software

[1]  Gabor T. Herman,et al.  Quadratic optimization for image reconstruction, II , 1976 .

[2]  Xiaochuan Pan,et al.  Evaluation of sparse-view reconstruction from flat-panel-detector cone-beam CT , 2010, Physics in medicine and biology.

[3]  Patrick L. Combettes,et al.  An adaptive level set method for nondifferentiable constrained image recovery , 2002, IEEE Trans. Image Process..

[4]  Ran Davidi,et al.  Perturbation resilience and superiorization of iterative algorithms , 2010, Inverse problems.

[5]  Gabor T Herman,et al.  Data fusion in X-ray computed tomography using a superiorization approach. , 2014, The Review of scientific instruments.

[6]  Gabor T. Herman,et al.  Superiorization of the ML-EM Algorithm , 2014, IEEE Transactions on Nuclear Science.

[7]  Alvaro R. De Pierro,et al.  On methods for maximum a posteriori image reconstruction with a normal prior , 1992, J. Vis. Commun. Image Represent..

[8]  Xiaochuan Pan,et al.  A constrained, total-variation minimization algorithm for low-intensity x-ray CT. , 2010, Medical physics.

[9]  L. Shepp,et al.  Maximum Likelihood Reconstruction for Emission Tomography , 1983, IEEE Transactions on Medical Imaging.

[10]  Ran Davidi,et al.  Projected Subgradient Minimization Versus Superiorization , 2013, Journal of Optimization Theory and Applications.

[11]  Evgeni A. Nurminski,et al.  Envelope stepsize control for iterative algorithms based on Fejer processes with attractants , 2010, Optim. Methods Softw..

[12]  D. Mariano-Goulart,et al.  A heuristic statistical stopping rule for iterative reconstruction in emission tomography , 2012, Annals of Nuclear Medicine.

[13]  M. Defrise,et al.  An algorithm for total variation regularization in high-dimensional linear problems , 2011 .

[14]  E. Levitan,et al.  A Maximum a Posteriori Probability Expectation Maximization Algorithm for Image Reconstruction in Emission Tomography , 1987, IEEE Transactions on Medical Imaging.

[15]  Ran Davidi,et al.  Superiorization: An optimization heuristic for medical physics , 2012, Medical physics.

[16]  Elias Salomão Helou Neto,et al.  On perturbed steepest descent methods with inexact line search for bilevel convex optimization , 2011 .

[17]  D. Butnariu,et al.  Stable Convergence Behavior Under Summable Perturbations of a Class of Projection Methods for Convex Feasibility and Optimization Problems , 2007, IEEE Journal of Selected Topics in Signal Processing.

[18]  Patrick L. Combettes,et al.  Image restoration subject to a total variation constraint , 2004, IEEE Transactions on Image Processing.

[19]  Alvaro R. De Pierro,et al.  Incremental Subgradients for Constrained Convex Optimization: A Unified Framework and New Methods , 2009, SIAM J. Optim..

[20]  Ming Jiang,et al.  Convergence of the simultaneous algebraic reconstruction technique (SART) , 2003, Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256).

[21]  P. Gilbert Iterative methods for the three-dimensional reconstruction of an object from projections. , 1972, Journal of theoretical biology.

[22]  Gabor T. Herman,et al.  Fundamentals of Computerized Tomography: Image Reconstruction from Projections , 2009, Advances in Pattern Recognition.

[23]  E. Sidky,et al.  Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization , 2008, Physics in medicine and biology.