Statistical image reconstruction algorithms using paraboloidal surrogates for pet transmission scans

Statistical Image Reconstruction Algorithms Using Paraboloidal Surrogates for PET Transmission Scans

[1]  S R Meikle,et al.  Validation of postinjection transmission measurements for attenuation correction in neurological FDG-PET studies. , 1996, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[2]  E. Hoffman,et al.  Quantitation in positron emission computed tomography: 2. Effects of inaccurate attenuation correction. , 1979, Journal of computer assisted tomography.

[3]  Michael V. Green,et al.  Post-injection transmission attenuation measurements for PET , 1988 .

[4]  Alan C. Evans,et al.  Simultaneous transmission and emission scans in positron emission tomography , 1989 .

[5]  K. Lange,et al.  EM reconstruction algorithms for emission and transmission tomography. , 1984, Journal of computer assisted tomography.

[6]  P. Green On Use of the EM Algorithm for Penalized Likelihood Estimation , 1990 .

[7]  T. Turkington,et al.  An evaluation of post-injection transmission measurement in PET , 1993, 1993 IEEE Conference Record Nuclear Science Symposium and Medical Imaging Conference.

[8]  S Grootoonk,et al.  Performance Evaluation of the Positron Scanner ECAT EXACT , 1992, Journal of computer assisted tomography.

[9]  Ken D. Sauer,et al.  Functional Substitution Methods in Optimization for Bayesian Tomography , 1997 .

[10]  E. Veklerov,et al.  Stopping Rule for the MLE Algorithm Based on Statistical Hypothesis Testing , 1987, IEEE Transactions on Medical Imaging.

[11]  Avinash C. Kak,et al.  Principles of computerized tomographic imaging , 2001, Classics in applied mathematics.

[12]  E U Mumcuoğlu,et al.  Bayesian reconstruction of PET images: methodology and performance analysis. , 1996, Physics in medicine and biology.

[13]  Louis A. Hageman,et al.  Iterative Solution of Large Linear Systems. , 1971 .

[14]  J. M. Ollinger,et al.  Positron Emission Tomography , 2018, Handbook of Small Animal Imaging.

[15]  Jeffrey A. Fessler,et al.  A paraboloidal surrogates algorithm for convergent penalized-likelihood emission image reconstruction , 1998, 1998 IEEE Nuclear Science Symposium Conference Record. 1998 IEEE Nuclear Science Symposium and Medical Imaging Conference (Cat. No.98CH36255).

[16]  Richard M. Leahy,et al.  A Bayesian Reconstruction Algorithm for Emission Tomography using a Markov Random Field Prior , 1989, Medical Imaging.

[17]  H. Holcomb,et al.  Anatomical localization for PET using MR imaging. , 1990, Journal of computer assisted tomography.

[18]  Ken D. Sauer,et al.  A unified approach to statistical tomography using coordinate descent optimization , 1996, IEEE Trans. Image Process..

[19]  N. Mullani,et al.  A segmented attenuation correction for PET. , 1991, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[20]  Jeffrey A. Fessler,et al.  New Statistical Models for Randoms-Precorrected PET Scans , 1997, IPMI.

[21]  Albert Macovski,et al.  A Maximum Likelihood Approach to Emission Image Reconstruction from Projections , 1976, IEEE Transactions on Nuclear Science.

[22]  Jeffrey A. Fessler Penalized weighted least-squares image reconstruction for positron emission tomography , 1994, IEEE Trans. Medical Imaging.

[23]  T. Hebert,et al.  A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors. , 1989, IEEE transactions on medical imaging.

[24]  Jolyon A. Browne,et al.  Developments with maximum likelihood X-ray computed tomography , 1992, IEEE Trans. Medical Imaging.

[25]  Arion F. Chatziioannou,et al.  Detailed investigation of transmission and emission data smoothing protocols and their effects on emission images , 1994, Proceedings of 1994 IEEE Nuclear Science Symposium - NSS'94.

[26]  R.E. Carson,et al.  Scatter correction in maximum-likelihood reconstruction of PET data , 1992, IEEE Conference on Nuclear Science Symposium and Medical Imaging.

[27]  L. J. Thomas,et al.  Noise and Edge Artifacts in Maximum-Likelihood Reconstructions for Emission Tomography , 1987, IEEE Transactions on Medical Imaging.

[28]  Ken D. Sauer,et al.  A local update strategy for iterative reconstruction from projections , 1993, IEEE Trans. Signal Process..

[29]  Jeffrey A. Fessler,et al.  Statistical image reconstruction methods for simultaneous emission/transmission PET scans , 1996, 1996 IEEE Nuclear Science Symposium. Conference Record.

[30]  Ken D. Sauer,et al.  Provably convergent coordinate descent in statistical tomographic reconstruction , 1996, Proceedings of 3rd IEEE International Conference on Image Processing.

[31]  Paul Kinahan,et al.  Optimization of transmission and emission scan duration in 3D whole-body PET , 1996, 1996 IEEE Nuclear Science Symposium. Conference Record.

[32]  M. Defrise,et al.  Fast reconstruction of 3-D PET data with accurate statistical modeling , 1997, 1997 IEEE Nuclear Science Symposium Conference Record.

[33]  Richard M. Leahy,et al.  Fast MLE for SPECT using an intermediate polar representation and a stopping criterion , 1988 .

[34]  S. Manglos,et al.  Transmission maximum-likelihood reconstruction with ordered subsets for cone beam CT. , 1995, Physics in medicine and biology.

[35]  Alvaro R. De Pierro,et al.  A modified expectation maximization algorithm for penalized likelihood estimation in emission tomography , 1995, IEEE Trans. Medical Imaging.

[36]  Jeffrey A. Fessler,et al.  Accelerated monotonic algorithms for transmission tomography , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[37]  Jeffrey A. Fessler,et al.  Exact distribution of edge-preserving MAP estimators for linear signal models with Gaussian measurement noise , 2000, IEEE Trans. Image Process..

[38]  Alan C. Evans,et al.  Validation of simultaneous PET emission and transmission scans. , 1991, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[39]  P. G. Ciarlet,et al.  Introduction to Numerical Linear Algebra and Optimisation , 1989 .

[40]  D. Snyder,et al.  Corrections for accidental coincidences and attenuation in maximum-likelihood image reconstruction for positron-emission tomography. , 1991, IEEE transactions on medical imaging.

[41]  Alvaro R. De Pierro,et al.  A row-action alternative to the EM algorithm for maximizing likelihood in emission tomography , 1996, IEEE Trans. Medical Imaging.

[42]  E. Hoffman,et al.  Application of annihilation coincidence detection to transaxial reconstruction tomography. , 1975, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

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

[44]  Simon R. Cherry,et al.  Fast gradient-based methods for Bayesian reconstruction of transmission and emission PET images , 1994, IEEE Trans. Medical Imaging.

[45]  Richard M. Leahy,et al.  Incorporation of Anatomical MR Data for Improved Dunctional Imaging with PET , 1991, IPMI.

[46]  Jeffrey A. Fessler,et al.  Spatial resolution properties of penalized-likelihood image reconstruction: space-invariant tomographs , 1996, IEEE Trans. Image Process..

[47]  Jeffrey A. Fessler,et al.  Spatially-variant roughness penalty design for uniform resolution in penalized-likelihood image reconstruction , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[48]  J A Fessler,et al.  Mean and variance of single photon counting with deadtime. , 2000, Physics in medicine and biology.

[49]  Alfred O. Hero,et al.  Ieee Transactions on Image Processing: to Appear Penalized Maximum-likelihood Image Reconstruction Using Space-alternating Generalized Em Algorithms , 2022 .

[50]  P. Green Bayesian reconstructions from emission tomography data using a modified EM algorithm. , 1990, IEEE transactions on medical imaging.

[51]  Jeffrey A. Fessler,et al.  Mean and variance of photon counting with deadtime [in PET and SPECT imaging] , 1999, 1999 IEEE Nuclear Science Symposium. Conference Record. 1999 Nuclear Science Symposium and Medical Imaging Conference (Cat. No.99CH37019).

[52]  G Germano,et al.  Investigation of count rate and deadtime characteristics of a high resolution PET system. , 1988, Journal of computer assisted tomography.

[53]  Albert Macovski,et al.  A Maximum Likelihood Approach to Transmission Image Reconstruction from Projections , 1977, IEEE Transactions on Nuclear Science.

[54]  Ken D. Sauer,et al.  Parallel computation of sequential pixel updates in statistical tomographic reconstruction , 1995, Proceedings., International Conference on Image Processing.

[55]  G. Muehllehner,et al.  Singles transmission scans performed post-injection for quantitative whole body FDG-PET , 1996, 1996 IEEE Nuclear Science Symposium. Conference Record.

[56]  J. Ollinger Model-based scatter correction for fully 3D PET. , 1996, Physics in medicine and biology.

[57]  John M. Ollinger,et al.  Maximum-likelihood reconstruction of transmission images in emission computed tomography via the EM algorithm , 1994, IEEE Trans. Medical Imaging.

[58]  Jeffrey A. Fessler,et al.  Grouped-coordinate ascent algorithms for penalized-likelihood transmission image reconstruction , 1997, IEEE Transactions on Medical Imaging.

[59]  A. Hero,et al.  SPACE-ALTERNATING GENERALIZED EM ALGORITHMS FOR PENALIZED MAXIMUM-LIKELIHOOD IMAGE RECONSTRUCTION , 1997 .

[60]  Charles L. Byrne,et al.  Convergent block-iterative algorithms for image reconstruction from inconsistent data , 1997, IEEE Trans. Image Process..

[61]  J. Besag On the Statistical Analysis of Dirty Pictures , 1986 .

[62]  Magnus Dahlbom,et al.  PET system calibrations and corrections for quantitative and spatially accurate images , 1989 .

[63]  Ken D. Sauer,et al.  A generalized Gaussian image model for edge-preserving MAP estimation , 1993, IEEE Trans. Image Process..

[64]  E. Hoffman,et al.  Measuring PET scanner sensitivity: relating countrates to image signal-to-noise ratios using noise equivalents counts , 1990 .

[65]  Anand Rangarajan,et al.  Bayesian image reconstruction in SPECT using higher order mechanical models as priors , 1995, IEEE Trans. Medical Imaging.

[66]  K. Lange,et al.  A Theoretical Study of Some Maximum Likelihood Algorithms for Emission and Transmission Tomography , 1987, IEEE Transactions on Medical Imaging.

[67]  Alfred O. Hero,et al.  Space-alternating generalized expectation-maximization algorithm , 1994, IEEE Trans. Signal Process..

[68]  M R Palmer,et al.  Scatter distribution in transmission measurements with positron emission tomography. , 1986, Journal of computer assisted tomography.

[69]  Alfred O. Hero,et al.  Improved penalized likelihood reconstruction of anatomically correlated emission data , 1996, Proceedings of 3rd IEEE International Conference on Image Processing.

[70]  Freek J. Beekman,et al.  Accelerated iterative transmission CT reconstruction using an ordered subsets convex algorithm , 1998, IEEE Transactions on Medical Imaging.

[71]  A. R. De Pierro,et al.  On the relation between the ISRA and the EM algorithm for positron emission tomography , 1993, IEEE Trans. Medical Imaging.

[72]  Michael A. King,et al.  Accelerating the EM algorithm using rescaled block-iterative methods , 1996, 1996 IEEE Nuclear Science Symposium. Conference Record.

[73]  J. Fessler,et al.  Simultaneous transmission/emission myocardial perfusion tomography. Diagnostic accuracy of attenuation-corrected 99mTc-sestamibi single-photon emission computed tomography. , 1996, Circulation.

[74]  J. Ollinger Reconstruction-reprojection processing of transmission scans and the variance of PET images , 1991, Conference Record of the 1991 IEEE Nuclear Science Symposium and Medical Imaging Conference.

[75]  Jeffrey A. Fessler,et al.  Grouped coordinate descent algorithms for robust edge-preserving image restoration , 1997, Optics & Photonics.

[76]  B. Lindsay,et al.  Monotonicity of quadratic-approximation algorithms , 1988 .

[77]  M. E. Daube-Witherspoon,et al.  Investigation of angular smoothing of PET data , 1997 .

[78]  M.E. Casey,et al.  An analysis of correction methods for emission contamination in PET post-injection transmission measurement , 1994, Proceedings of 1994 IEEE Nuclear Science Symposium - NSS'94.

[79]  Charles L. Byrne,et al.  Block-iterative methods for image reconstruction from projections , 1996, IEEE Trans. Image Process..

[80]  G Muehllehner,et al.  Singles transmission in volume-imaging PET with a 137Cs source. , 1995, Physics in medicine and biology.

[81]  Jorge Nocedal,et al.  Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization , 1997, TOMS.

[82]  W. Moses,et al.  Orbiting transmission source for positron tomography , 1988 .

[83]  John T. Kent,et al.  Some Suggestions for Transmission Tomography Based on the EM Algorithm , 1992 .

[84]  E. Hoffman,et al.  Fully three-dimensional reconstruction for a PET camera with retractable septa , 1991 .

[85]  Hakan Erdogan,et al.  An Ordered Subsets Algorithm for Transmission Tomography , 1998 .

[86]  Jeffrey A. Fessler,et al.  Ieee Transactions on Image Processing: to Appear Globally Convergent Algorithms for Maximum a Posteriori Transmission Tomography , 2022 .

[87]  Jeffrey A. Fessler Mean and variance of implicitly defined biased estimators (such as penalized maximum likelihood): applications to tomography , 1996, IEEE Trans. Image Process..

[88]  M.E. Daube-Witherspoon,et al.  Investigation of angular and axial smoothing of PET data , 1996, 1996 IEEE Nuclear Science Symposium. Conference Record.

[89]  M. Defrise,et al.  Iterative reconstruction for helical CT: a simulation study. , 1998, Physics in medicine and biology.

[90]  Á. R. De Pierro,et al.  Fast EM-like methods for maximum "a posteriori" estimates in emission tomography. , 2001, IEEE transactions on medical imaging.

[91]  E. Hoffman,et al.  A positron-emission transaxial tomograph for nuclear imaging (PETT). , 1975, Radiology.

[92]  M. Goitein Three-dimensional density reconstruction from a series of two-dimensional projections , 1972 .

[93]  R.J. Smith,et al.  Post injection transmission scanning in a volume imaging PET camera , 1993, 1993 IEEE Conference Record Nuclear Science Symposium and Medical Imaging Conference.

[94]  Jeffrey A. Fessler,et al.  Ieee Transactions on Image Processing: to Appear Hybrid Poisson/polynomial Objective Functions for Tomographic Image Reconstruction from Transmission Scans , 2022 .

[95]  Jeffrey A. Fessler,et al.  Fast Monotonic Algorithms for Transmission Tomography , 1999, IEEE Trans. Medical Imaging.

[96]  B F Hutton,et al.  Simultaneous emission and transmission measurements for attenuation correction in whole-body PET. , 1995, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[97]  Jeffrey A. Fessler,et al.  Statistical image reconstruction methods for randoms-precorrected PET scans , 1998, Medical Image Anal..

[98]  Jeffrey A. Fessler,et al.  On complete-data spaces for PET reconstruction algorithms , 1993 .

[99]  S R Cherry,et al.  Attenuation correction using count-limited transmission data in positron emission tomography. , 1993, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

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

[101]  Christopher J. Thompson,et al.  The problem of scatter correction in positron volume imaging , 1993, IEEE Trans. Medical Imaging.

[102]  J. D. Wilson,et al.  A smoothed EM approach to indirect estimation problems, with particular reference to stereology and emission tomography , 1990 .

[103]  M Dahlbom,et al.  An evaluation of a two-dimensional array detector for high resolution PET. , 1988, IEEE transactions on medical imaging.

[104]  Alan C. Evans,et al.  A Technique To Reject Scattered Radiation In PET Transmission Scans , 1986, Other Conferences.

[105]  H. Malcolm Hudson,et al.  Accelerated image reconstruction using ordered subsets of projection data , 1994, IEEE Trans. Medical Imaging.

[106]  C. Pelizzari,et al.  Accurate Three‐Dimensional Registration of CT, PET, and/or MR Images of the Brain , 1989, Journal of computer assisted tomography.

[107]  Charles W. Stearns,et al.  A noise equivalent counts approach to transmission imaging and source design , 1991, Conference Record of the 1991 IEEE Nuclear Science Symposium and Medical Imaging Conference.

[108]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[109]  Hakan Erdogan,et al.  Ordered subsets algorithms for transmission tomography. , 1999, Physics in medicine and biology.

[110]  Albert Macovski,et al.  Medical imaging systems , 1983 .

[111]  M. Daube-Witherspoon,et al.  A method for postinjection PET transmission measurements with a rotating source. , 1988, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[112]  M. Casey,et al.  An analysis of correction methods for emission contamination in PET postinjection transmission measurement , 1995 .

[113]  M. Miller,et al.  Maximum a posteriori estimation for SPECT using regularization techniques on massively-parallel computers , 1991 .

[114]  K. Lange Convergence of EM image reconstruction algorithms with Gibbs smoothing. , 1990, IEEE transactions on medical imaging.