Evaluation of Quantitative, Efficient Image Reconstruction for VersaPET, a Compact PET System.

PURPOSE Previously we developed a high-resolution PET system-VersaPET -- characterized by a block geometry with relatively large axial and transaxial inter-block gaps and a compact geometry susceptible to parallax blurring effects. In this work, we report the qualitative and quantitative evaluation of a graphic processing unit (GPU)-accelerated maximum-likelihood by expectation-maximization (MLEM) image reconstruction framework for VersaPET which features accurate system geometry and projection space point-spread-function (PSF) modeling. METHODS We combined the ray-tracing module from STIR (an open-source PET image reconstruction package) with VersaPET's exact block geometry for the geometric system matrix. PSF modeling of crystal penetration and scattering was achieved by a custom Monte-Carlo simulation for projection space blurring in all dimensions. We also parallelized the reconstruction in GPU taking advantage of the system's symmetry for PSF computation. To investigate the effects of PSF width, we generated and studied multiple kernels between one that reflects the true LYSO density in the MC simulation and another that reflects geometry only (no PSF). GATE simulations of hot and cold-sphere phantoms with spheres of different sizes, real microDerenzo phantom and human blood vessel data were used to characterize the quantitative and qualitative performances of the reconstruction. RESULTS Reconstruction with an accurate system geometry effectively improved image quality compared to STIR (version 3.0) which assumes an idealized system geometry. Reconstructions of GATE-simulated hot-sphere phantom data showed that all PSF kernels achieved superior performance in contrast recovery and bias reduction compared to using no PSF, but may introduce edge artifact and lumped background noise pattern depending on the width of PSF kernels. Cold-sphere phantom simulation results also indicated improvement in contrast recovery and quantification with PSF modeling (compared to no PSF) for 5 mm and 10 mm cold spheres. Real microDerenzo phantom images with the PSF kernel that reflects the true LYSO density showed degraded resolving power of small sectors that could be resolved more clearly by underestimated PSF kernels, which is consistent with recent literature despite differences in scanner geometries and in approaches to system model estimation. The human vessel results resemble those of the hot-sphere phantom simulation with the PSF kernel that reflects the true LYSO density achieving the highest peak in the time activity curve (TAC) and similar lumped noise pattern. CONCLUSIONS We fully evaluated a practical MLEM reconstruction framework that we developed for VersaPET in terms of qualitative and quantitative performance. Different PSF kernels may be adopted for improving the results of specific imaging tasks but the underlying reasons for the variation in optimal kernel for the real and simulation studies requires further study.

[1]  M. Budassi,et al.  Electromagnetic Interactions in a Shielded PET/MRI System for Simultaneous PET/MR Imaging in 9.4 T: Evaluation and Results , 2012, IEEE Transactions on Nuclear Science.

[2]  L Wang,et al.  MCML--Monte Carlo modeling of light transport in multi-layered tissues. , 1995, Computer methods and programs in biomedicine.

[3]  Thomas K. Lewellen,et al.  Modeling and incorporation of system response functions in 3-D whole body PET , 2006, IEEE Transactions on Medical Imaging.

[4]  Pablo Aguiar,et al.  Geometrical and Monte Carlo projectors in 3D PET reconstruction. , 2010, Medical physics.

[5]  C. Watson Measurement of the physical PSF for an integrated PET/MR using targeted positron beams , 2012, 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference Record (NSS/MIC).

[6]  R. Leahy,et al.  High-resolution 3D Bayesian image reconstruction using the microPET small-animal scanner. , 1998, Physics in medicine and biology.

[7]  C. Tsoumpas,et al.  STIR: software for tomographic image reconstruction release 2 , 2012, 2006 IEEE Nuclear Science Symposium Conference Record.

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

[9]  Jinyi Qi,et al.  Iterative image reconstruction for positron emission tomography based on a detector response function estimated from point source measurements , 2009, Physics in medicine and biology.

[10]  C Lartizien,et al.  GATE: a simulation toolkit for PET and SPECT. , 2004, Physics in medicine and biology.

[11]  J. Pratte,et al.  Simultaneous assessment of rodent behavior and neurochemistry using a miniature positron emission tomograph , 2011, Nature Methods.

[12]  M. Budassi,et al.  First results from the BNL/Penn PET-MRI system for whole body rodent imaging at 9.4T , 2012, 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference Record (NSS/MIC).

[13]  Ke Li,et al.  A generalized reconstruction framework for unconventional PET systems. , 2015, Medical physics.

[14]  Nadim Joni Shah,et al.  Fully-3D PET Image Reconstruction Using Scanner-Independent, Adaptive Projection Data and Highly Rotation-Symmetric Voxel Assemblies , 2011, IEEE Transactions on Medical Imaging.

[15]  Jian Zhou,et al.  Sinogram Blurring Matrix Estimation From Point Sources Measurements With Rank-One Approximation for Fully 3-D PET , 2017, IEEE Transactions on Medical Imaging.

[16]  W. W. Moses,et al.  List-mode maximum-likelihood reconstruction applied to positron emission mammography (PEM) with irregular sampling , 2000, IEEE Transactions on Medical Imaging.

[17]  Arman Rahmim,et al.  Resolution modeling in PET imaging: Theory, practice, benefits, and pitfalls. , 2013, Medical physics.

[18]  Steven G. Ross,et al.  Application and Evaluation of a Measured Spatially Variant System Model for PET Image Reconstruction , 2010, IEEE Transactions on Medical Imaging.

[19]  K Thielemans,et al.  Image-based point spread function implementation in a fully 3D OSEM reconstruction algorithm for PET , 2010, Physics in medicine and biology.

[20]  S.S. Junnarkar,et al.  Digital Coincidence Processing for the RatCAP Conscious Rat Brain PET Scanner , 2006, IEEE Transactions on Nuclear Science.

[21]  N. Volkow,et al.  RatCAP: miniaturized head-mounted PET for conscious rodent brain imaging , 2004, IEEE Transactions on Nuclear Science.

[22]  Jian Zhou,et al.  Fast and efficient fully 3D PET image reconstruction using sparse system matrix factorization with GPU acceleration. , 2011, Physics in medicine and biology.

[23]  Dale L. Bailey,et al.  Quantitative Procedures in 3D PET , 1998 .

[24]  R. Siddon Fast calculation of the exact radiological path for a three-dimensional CT array. , 1985, Medical physics.

[25]  J. Karp,et al.  Readout technologies for the BNL-UPenn MRI-compatible PET scanner for rodents , 2011, 2011 IEEE Nuclear Science Symposium Conference Record.

[26]  Andrew J. Reader,et al.  Impact of Image-Space Resolution Modeling for Studies with the High-Resolution Research Tomograph , 2008, Journal of Nuclear Medicine.

[27]  Jian Zhou,et al.  Efficient system modeling for a small animal PET scanner with tapered DOI detectors. , 2016, Physics in medicine and biology.

[28]  R. Leahy,et al.  Accurate geometric and physical response modelling for statistical image reconstruction in high resolution PET , 1996, 1996 IEEE Nuclear Science Symposium. Conference Record.

[29]  Günther Dissertori,et al.  Implementation of cylindrical PET scanners with block detector geometry in STIR , 2019, EJNMMI Physics.

[30]  F. Arqueros,et al.  A simple algorithm for the transport of gamma rays in a medium , 2003 .

[31]  C. Tsoumpas,et al.  Evaluation of the single scatter simulation algorithm implemented in the STIR library , 2004, IEEE Symposium Conference Record Nuclear Science 2004..

[32]  Hao Peng,et al.  Spatial resolution recovery utilizing multi-ray tracing and graphic processing unit in PET image reconstruction. , 2015, Physics in medicine and biology.

[33]  M. Rafecas,et al.  Use of a Monte Carlo-based probability matrix for 3-D iterative reconstruction of MADPET-II data , 2004, IEEE Transactions on Nuclear Science.

[34]  M. Budassi,et al.  An MRI-compatible PET insert for whole body studies in rodents at high functional and anatomical resolution , 2011, 2011 IEEE Nuclear Science Symposium Conference Record.

[35]  Jing Tang,et al.  Analytic system matrix resolution modeling in PET: an application to Rb-82 cardiac imaging , 2008, 2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[36]  Guillem Pratx,et al.  Fully 3D list-mode time-of-flight PET image reconstruction on GPUs using CUDA. , 2011, Medical physics.

[37]  Paul Kinahan,et al.  Noise and signal properties in PSF-based fully 3D PET image reconstruction: an experimental evaluation , 2010, Physics in medicine and biology.

[38]  Vesna Sossi,et al.  Scanning rats on the high resolution research tomograph (HRRT): a comparison study with a dedicated micro-PET. , 2012, Medical physics.

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

[40]  Qingguo Xie,et al.  A regularized relaxed ordered subset list-mode reconstruction algorithm and its preliminary application to undersampling PET imaging , 2015, Physics in medicine and biology.

[41]  Michael E Casey,et al.  Generalized PSF modeling for optimized quantitation in PET imaging , 2017, Physics in medicine and biology.

[42]  Long Zhang,et al.  Fast and memory-efficient Monte Carlo-based image reconstruction for whole-body PET. , 2010, Medical physics.

[43]  J. Fried,et al.  Next Generation of Real Time Data Acquisition, Calibration and Control System for the RatCAP Scanner , 2007, IEEE Transactions on Nuclear Science.

[44]  P. Vaska,et al.  Quantitative PET Imaging Using a Comprehensive Monte Carlo System Model , 2011, IEEE Transactions on Nuclear Science.

[45]  Vladimir Y. Panin,et al.  Fully 3-D PET reconstruction with system matrix derived from point source measurements , 2006, IEEE Transactions on Medical Imaging.

[46]  W. Moses Fundamental Limits of Spatial Resolution in PET. , 2011, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment.

[47]  D. Narayanan,et al.  Use of Breast-Specific PET Scanners and Comparison with MR Imaging. , 2018, Magnetic resonance imaging clinics of North America.

[48]  Didier Benoit,et al.  CASToR: a generic data organization and processing code framework for multi-modal and multi-dimensional tomographic reconstruction , 2018, Physics in medicine and biology.

[49]  J J Vaquero,et al.  FIRST: Fast Iterative Reconstruction Software for (PET) tomography. , 2006, Physics in medicine and biology.

[50]  Gianluigi Zanetti,et al.  Multi-ray-based system matrix generation for 3D PET reconstruction , 2008, Physics in medicine and biology.