Decomposition of radon projections into stackgrams for filtering, extrapolation, and alignment of sinogram data

[1]  Xiaochuan Pan,et al.  Quasi Band-Limited Properties of Radon Transforms and Their Implications for Increasing Angular Sampling Densities , 1998, IEEE Trans. Medical Imaging.

[2]  Jeffrey A. Fessler,et al.  Statistical image reconstruction methods in PET with compensation for missing data , 1996 .

[3]  A. Jain,et al.  Extrapolation algorithms for discrete signals with application in spectral estimation , 1981 .

[4]  Robert M. Lewitt,et al.  Limited angle tomography and ridge functions , 2002, 2002 IEEE Nuclear Science Symposium Conference Record.

[5]  Andreas Rieder,et al.  Incomplete data problems in X-ray computerized tomography , 1989 .

[6]  P. K. Banerjee,et al.  Image alignment by integrated rotational and translational transformation matrix. , 1994, Physics in medicine and biology.

[7]  G. Herman,et al.  Image reconstruction from linograms: implementation and evaluation. , 1988, IEEE transactions on medical imaging.

[8]  Gregory Beylkin,et al.  Discrete radon transform , 1987, IEEE Trans. Acoust. Speech Signal Process..

[9]  S. Strother,et al.  Iterative algebraic reconstruction algorithms for emission computed tomography: a unified framework and its application to positron emission tomography. , 1993, Medical physics.

[10]  Peyman Milanfar.  A model of the effect of image motion in the Radon transform domain , 1999, IEEE Trans. Image Process..

[11]  Jean-Philippe Thirion,et al.  Non-rigid matching using demons , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[12]  E Somersalo,et al.  Statistical inversion for medical x-ray tomography with few radiographs: I. General theory. , 2003, Physics in medicine and biology.

[13]  L. P. Yaroslavsky,et al.  DFT and DCT based discrete sinc-interpolation methods for direct Fourier tomographic reconstruction , 2003, 3rd International Symposium on Image and Signal Processing and Analysis, 2003. ISPA 2003. Proceedings of the.

[14]  J. Mazziotta,et al.  Rapid Automated Algorithm for Aligning and Reslicing PET Images , 1992, Journal of computer assisted tomography.

[15]  W. Steenaart,et al.  An approach to band-limited signal extrapolation: The extrapolation matrix , 1978 .

[16]  Martin Vetterli,et al.  A sampling theorem for the Radon transform of finite complexity objects , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[17]  Xiaochuan Pan,et al.  Nonparametric regression sinogram smoothing using a roughness-penalized Poisson likelihood objective function , 2000, IEEE Transactions on Medical Imaging.

[18]  Weiguo Lu,et al.  Tomographic motion detection and correction directly in sinogram space. , 2002, Physics in medicine and biology.

[19]  Jouni M. Mykkänen,et al.  Deformable Mesh For Automated Surface Extraction From Noisy Images , 2004, Int. J. Image Graph..

[20]  Chulhee Lee,et al.  Registration and statistical analysis of PET images using the wavelet transform , 1995 .

[21]  M. Pedersen.  Functional Analysis in Applied Mathematics and Engineering , 1999 .

[22]  M. Unser,et al.  Interpolation revisited [medical images application] , 2000, IEEE Transactions on Medical Imaging.

[23]  Sze Fong Yau,et al.  A linear sinogram extrapolator for limited angle tomography , 1996, Proceedings of Third International Conference on Signal Processing (ICSP'96).

[24]  S.-C. Huang,et al.  Study of reprojection methods in terms of their resolution loss and sampling errors , 1992 .

[25]  D. Hill,et al.  Medical image registration , 2001, Physics in medicine and biology.

[26]  L Yaroslavsky,et al.  Boundary effect free and adaptive discrete signal sinc-interpolation algorithms for signal and image resampling. , 2003, Applied optics.

[27]  Guy Marchal,et al.  Multimodality image registration by maximization of mutual information , 1997, IEEE Transactions on Medical Imaging.

[28]  Ken D. Sauer,et al.  Radially-dependent nonlinear sinogram filtering , 2001, 2001 IEEE Nuclear Science Symposium Conference Record (Cat. No.01CH37310).

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

[30]  Michael Unser,et al.  Convolution-based interpolation for fast, high-quality rotation of images , 1995, IEEE Trans. Image Process..

[31]  David Brasse,et al.  Fast fully 3-D image reconstruction in PET using planograms , 2004, IEEE Transactions on Medical Imaging.

[32]  Jules S. Jaffe.  Limited angle reconstruction using stabilized algorithms , 1990 .

[33]  Asoke K. Nandi,et al.  Notes on the interpolation of discrete periodic signals using sinc function related approaches , 2000, IEEE Trans. Signal Process..

[34]  Yoram Bresler,et al.  A fast and accurate Fourier algorithm for iterative parallel-beam tomography , 1996, IEEE Trans. Image Process..

[35]  Torsten Rohlfing,et al.  Performance-based classifier combination in atlas-based image segmentation using expectation-maximization parameter estimation , 2004, IEEE Transactions on Medical Imaging.

[36]  I. Lemahieu,et al.  Ridge functions, natural pixels and minimal norm reconstruction , 1999, 1999 IEEE Nuclear Science Symposium. Conference Record. 1999 Nuclear Science Symposium and Medical Imaging Conference (Cat. No.99CH37019).

[37]  U. Ruotsalainen,et al.  Noise models for sinusoidal trajectories composing sinogram data in positron emission tomography , 2004, Proceedings of the 6th Nordic Signal Processing Symposium, 2004. NORSIG 2004..

[38]  Joel S. Karp,et al.  First results of a dedicated breast PET imager, BPET, using NaI(Tl) curve plate detectors , 2001, 2001 IEEE Nuclear Science Symposium Conference Record (Cat. No.01CH37310).

[39]  Paul J. Besl,et al.  A Method for Registration of 3-D Shapes , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[40]  David L. Donoho,et al.  Fast X-Ray and Beamlet Transforms for Three-Dimensional Data , 2002 .

[41]  J. M. Ollinger,et al.  An evaluation of three algorithms for reconstructing images from data with missing projections , 1988 .

[42]  H. Stark,et al.  A comparative study of three reconstruction methods for a limited-view computer tomography problem. , 1989, IEEE transactions on medical imaging.

[43]  James J. Clark,et al.  A transformation method for the reconstruction of functions from nonuniformly spaced samples , 1985, IEEE Trans. Acoust. Speech Signal Process..

[44]  M. Viergever,et al.  Medical image matching-a review with classification , 1993, IEEE Engineering in Medicine and Biology Magazine.

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

[46]  Benjamin G. Salomon,et al.  Accelerated iterative band-limited extrapolation algorithms , 2004, IEEE Signal Processing Letters.

[47]  A. Lindgren,et al.  Sampling the 2-D Radon transform , 1981 .

[48]  Chin-Tu Chen,et al.  Kalman sinogram restoration for fast and accurate PET image reconstruction , 1997 .

[49]  T Olson,et al.  An explanation of the effects of Squashing in limited angle tomography. , 1990, IEEE transactions on medical imaging.

[50]  G Muehllehner,et al.  Constrained Fourier space method for compensation of missing data in emission computed tomography. , 1988, IEEE transactions on medical imaging.

[51]  S. Mustafovic,et al.  Image reconstruction of motion corrected sinograms , 2003, 2003 IEEE Nuclear Science Symposium. Conference Record (IEEE Cat. No.03CH37515).

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

[53]  Arion F. Chatziioannou,et al.  Detailed investigation of transmission and emission data smoothing protocols and their effects on emission images , 1996 .

[54]  C. W. Stearns.  Context-sensitive angular filtering of PET transmission data , 1994, Proceedings of 1994 IEEE Nuclear Science Symposium - NSS'94.

[55]  D. Skerrett,et al.  A hybrid 3-D reconstruction/registration algorithm for correction of head motion in emission tomography , 2000 .

[56]  A. Cormack.  Sampling the radon transform with beams of finite width. , 1978 .

[57]  Anil K. Jain.  Fundamentals of Digital Image Processing , 2018, Control of Color Imaging Systems.

[58]  L. Shepp,et al.  Limited Angle Reconstruction in Tomography via Squashing , 1987, IEEE Transactions on Medical Imaging.

[59]  Yu Wang,et al.  Compensation of missing projection data for MDAPET camera , 2000, 2000 IEEE Nuclear Science Symposium. Conference Record (Cat. No.00CH37149).

[60]  Patrick Dupont,et al.  Maximum-likelihood expectation-maximization reconstruction of sinograms with arbitrary noise distribution using NEC-transformations , 2001, IEEE Transactions on Medical Imaging.

[61]  M Hoevels,et al.  The influence of head frame distortions on stereotactic localization and targeting. , 2004, Physics in medicine and biology.

[62]  A. Papoulis.  A new algorithm in spectral analysis and band-limited extrapolation. , 1975 .

[63]  Gabor T. Herman,et al.  Image Reconstruction From Projections , 1975, Real Time Imaging.

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

[65]  C. J. Thompson,et al.  Motion correction of PET images using multiple acquisition frames , 1997, IEEE Transactions on Medical Imaging.

[66]  R. Lewitt.  Reconstruction algorithms: Transform methods , 1983, Proceedings of the IEEE.

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

[68]  H. Iida,et al.  Sinogram-based motion correction of PET images using optical motion tracking system and list-mode data acquisition , 2004, IEEE Transactions on Nuclear Science.

[69]  Gabor T. Herman,et al.  Image reconstruction from projections : the fundamentals of computerized tomography , 1980 .

[70]  Henry Stark,et al.  Image restoration in CT by the method of projection onto convex sets , 1983, ICASSP.

[71]  L P Yaroslavsky,et al.  Efficient algorithm for discrete sinc interpolation. , 1997, Applied optics.

[72]  Ulla Ruotsalainen,et al.  Generalization of median root prior reconstruction , 2002, IEEE Transactions on Medical Imaging.

[73]  Max A. Viergever,et al.  A survey of medical image registration , 1998, Medical Image Anal..