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Patch-based anisotropic diffusion scheme for fluorescence diffuse optical tomography-part 1: technical principles

Correia, T; Arridge, S; (2016) Patch-based anisotropic diffusion scheme for fluorescence diffuse optical tomography-part 1: technical principles. Physics in Medicine & Biology , 61 (4) pp. 1439-1451. 10.1088/0031-9155/61/4/1439. Green open access

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Abstract

Fluorescence diffuse optical tomography (fDOT) provides 3D images of fluorescence distributions in biological tissue, which represent molecular and cellular processes. The image reconstruction problem is highly ill-posed and requires regularisation techniques to stabilise and find meaningful solutions. Quadratic regularisation tends to either oversmooth or generate very noisy reconstructions, depending on the regularisation strength. Edge preserving methods, such as anisotropic diffusion regularisation (AD), can preserve important features in the fluorescence image and smooth out noise. However, AD has limited ability to distinguish an edge from noise. In this two-part paper, we propose a patch-based anisotropic diffusion regularisation (PAD), where regularisation strength is determined by a weighted average according to the similarity between patches around voxels within a search window, instead of a simple local neighbourhood strategy. However, this method has higher computational complexity and, hence, we wavelet compress the patches (PAD-WT) to speed it up, while simultaneously taking advantage of the denoising properties of wavelet thresholding. The proposed method combines the nonlocal means (NLM), AD and wavelet shrinkage methods, which are image processing methods. Therefore, in this first paper, we used a denoising test problem to analyse the performance of the new method. Our results show that the proposed PAD-WT method provides better results than the AD or NLM methods alone. The efficacy of the method for fDOT image reconstruction problem is evaluated in part 2.

Type: Article
Title: Patch-based anisotropic diffusion scheme for fluorescence diffuse optical tomography-part 1: technical principles
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/0031-9155/61/4/1439
Publisher version: http://dx.doi.org/10.1088/0031-9155/61/4/1439
Language: English
Additional information: Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Keywords: Science & Technology, Technology, Life Sciences & Biomedicine, Engineering, Biomedical, Radiology, Nuclear Medicine & Medical Imaging, Engineering, fluorescence diffuse optical tomography, image reconstruction, anisotropic diffusion, nonlocal means, structural information, multimodal imaging, regularisation, EFFICIENT NONLOCAL-MEANS, IMAGE-RECONSTRUCTION, WAVELET SHRINKAGE, REGULARIZATION, INFORMATION, ALGORITHM, FILTER, PET
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/10037819
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