2015
DOI: 10.1109/tmi.2014.2343916
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PET Image Reconstruction Using Kernel Method

Abstract: Image reconstruction from low-count PET projection data is challenging because the inverse problem is ill-posed. Prior information can be used to improve image quality. Inspired by the kernel methods in machine learning, this paper proposes a kernel based method that models PET image intensity in each pixel as a function of a set of features obtained from prior information. The kernel-based image model is incorporated into the forward model of PET projection data and the coefficients can be readily estimated b… Show more

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Cited by 193 publications
(182 citation statements)
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References 47 publications
(56 reference statements)
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“…The first parameter is the Gaussian kernel coefficient . According to previous studies, 38,49 =1 yields best results. The second parameter is the number of nearest neighbor's k. However, for the numerical simulations with the false target size in anatomical images, the kernel method with the smaller number of voxels performed better than the kernel method with the larger number of voxels.…”
Section: Reconstruction With Inhomogeneous Background In Ct Imagesmentioning
confidence: 59%
See 2 more Smart Citations
“…The first parameter is the Gaussian kernel coefficient . According to previous studies, 38,49 =1 yields best results. The second parameter is the number of nearest neighbor's k. However, for the numerical simulations with the false target size in anatomical images, the kernel method with the smaller number of voxels performed better than the kernel method with the larger number of voxels.…”
Section: Reconstruction With Inhomogeneous Background In Ct Imagesmentioning
confidence: 59%
“…(13) to zero in this study, 38 and solved by the MM approach. 39,40 Once is obtained we can easily obtain the final fluorophore distribution image by the linear transformation = .…”
Section: 47mentioning
confidence: 99%
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“…This can be accomplished by defining a kernel function for each finite element node. The optical absorption coefficient at a node i can then be written as a linear combination of kernels in a way similar to for PET [49,51,52],…”
Section: Kernel-based Anatomically-aided Reconstruction Algorithmmentioning
confidence: 99%
“…In this paper, inspired by the kernel method of PET image reconstruction [49], we introduce the kernel method based image reconstruction as a new approach to include anatomical guidance into DOT reconstruction. Compared with the conventional hard and soft prior approaches, the proposed kernel method does not require target region segmentation.…”
Section: Introductionmentioning
confidence: 99%