Evaluation of a 3 D local multi-resolution algorithm for the correction of partial volume effects in positron emission tomography

Purpose Partial volume effects (PVE) are consequences of the limited spatial resolution in emission tomography leading to under-estimation of uptake in tissues of size similar to the point spread function (PSF) of the scanner as well as activity spillover between adjacent structures. Among PVE correction methodologies, a voxel-wise mutual multi-resolution analysis (MMA) was recently introduced. MMA is based on the extraction and transformation of high resolution details from an anatomical image (MR/CT) and their subsequent incorporation into a low resolution PET image using wavelet decompositions. Although this method allows creating PVE corrected images, it is based on a 2D global correlation model which may introduce artefacts in regions where no significant correlation exists between anatomical and functional details.

[1]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  P. Dutilleux An Implementation of the “algorithme à trous” to Compute the Wavelet Transform , 1989 .

[3]  Ingrid Daubechies,et al.  The wavelet transform, time-frequency localization and signal analysis , 1990, IEEE Trans. Inf. Theory.

[4]  Mark J. Shensa,et al.  The discrete wavelet transform: wedding the a trous and Mallat algorithms , 1992, IEEE Trans. Signal Process..

[5]  P B Hoffer,et al.  Computerized three-dimensional segmented human anatomy. , 1994, Medical physics.

[6]  D. Yocky Artifacts in wavelet image merging , 1996 .

[7]  A. Evans,et al.  Correction for partial volume effects in PET: principle and validation. , 1998, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[8]  Paul Kinahan,et al.  Attenuation correction for a combined 3D PET/CT scanner. , 1998, Medical physics.

[9]  Thomas E. Nichols,et al.  Comparative evaluation of MR-based partial-volume correction schemes for PET. , 1999, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[10]  Karl J. Friston,et al.  Voxel-Based Morphometry—The Methods , 2000, NeuroImage.

[11]  D. Visvikis,et al.  CT-based attenuation correction in the calculation of semi-quantitative indices of [18F]FDG uptake in PET , 2003, European Journal of Nuclear Medicine and Molecular Imaging.

[12]  Alan C. Evans,et al.  Positron Emission Tomography Partial Volume Correction: Estimation and Algorithms , 2002, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[13]  Thomas Beyer,et al.  Clinically feasible reconstruction of 3D whole-body PET/CT data using blurred anatomical labels. , 2002, Physics in medicine and biology.

[14]  Michael Unser,et al.  Elastic registration of biological images using vector-spline regularization , 2005, IEEE Transactions on Biomedical Engineering.

[15]  Patrick Dupont,et al.  Comparison between MAP and postprocessed ML for image reconstruction in emission tomography when anatomical knowledge is available , 2005, IEEE Transactions on Medical Imaging.

[16]  R. Shekhar,et al.  Automated 3-dimensional elastic registration of whole-body PET and CT from separate or combined scanners. , 2005, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[17]  D Visvikis,et al.  A multiresolution image based approach for correction of partial volume effects in emission tomography , 2006, Physics in medicine and biology.

[18]  Yves Bizais,et al.  Quantitative assessment by means of realistic simulated images and patient data of a new method for partial volume correction in brain PET , 2006 .

[19]  Mohamed-Jalal Fadili,et al.  The Undecimated Wavelet Decomposition and its Reconstruction , 2007, IEEE Transactions on Image Processing.

[20]  S. Libutti,et al.  Partial-Volume Correction in PET: Validation of an Iterative Postreconstruction Method with Phantom and Patient Data , 2007, Journal of Nuclear Medicine.

[21]  Yun Zhang,et al.  Wavelet based image fusion techniques — An introduction, review and comparison , 2007 .

[22]  C. Claussen,et al.  Simultaneous Mr/pet Imaging of the Human Brain: Feasibility Study 1 , 2022 .

[23]  Kris Thielemans,et al.  Study of direct and indirect parametric estimation methods of linear models in dynamic positron emission tomography. , 2008, Medical physics.

[24]  Anthonin Reilhac,et al.  Deconvolution-based partial volume correction in Raclopride-PET and Monte Carlo comparison to MR-based method , 2008, NeuroImage.

[25]  A. Kirov,et al.  Partial volume effect correction in PET using regularized iterative deconvolution with variance control based on local topology , 2008, Physics in medicine and biology.

[26]  Dimitris Visvikis,et al.  PET Image Denoising Using a Synergistic Multiresolution Analysis of Structural (MRI/CT) and Functional Datasets , 2008, Journal of Nuclear Medicine.

[27]  Arman Rahmim,et al.  Design and Implementation of an Automated Partial Volume Correction in PET: Application to Dopamine Receptor Quantification in the Normal Human Striatum , 2008, Journal of Nuclear Medicine.

[28]  Alexander Hammers,et al.  Functional and structural synergy for resolution recovery and partial volume correction in brain PET , 2009, NeuroImage.

[29]  Christian Roux,et al.  A Fuzzy Locally Adaptive Bayesian Segmentation Approach for Volume Determination in PET , 2009, IEEE Transactions on Medical Imaging.

[30]  D. Visvikis,et al.  Incorporation of wavelet-based denoising in iterative deconvolution for partial volume correction in whole-body PET imaging , 2009, European Journal of Nuclear Medicine and Molecular Imaging.

[31]  R. Boellaard,et al.  Partial volume correction strategies for quantitative FDG PET in oncology , 2009, European Journal of Nuclear Medicine and Molecular Imaging.

[32]  D. Visvikis,et al.  Comparison of PET reconstruction resolution recovery and post-reconstruction deconvolution for partial volume effect correction (PVC) in PET , 2010 .