Comput Math Methods Med - Regularized multidirections and multiscales anisotropic diffusion for sinogram restoration of low-dosed computed tomography.

Tópicos

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Resumo

Although most of existing anisotropic diffusion (AD) methods are supported by prefect mathematical theories, they still lead to smoothed edges and anatomy details (EADs). They are caused by not considering the discrete nature of digital signal. In order to improve the performance of AD in sinogram restoration of low-dosed computed tomography (LDCT), we propose a new AD method, named regularized multidirections and multiscales anisotropic diffusion (RMDMS-AD), by extending AD to regularized AD (RAD) in multidirections and multiscales. Since the multidirections can reduce the discrete errors to the maximum extent, meanwhile multiscales and RAD make searching neighborhood of solution be as large as possible which can get more optimal solution to AD, the new proposed method can improve the performance of AD both in denoising and in stability of solution. Moreover, the discrete errors and ill-posed solutions occur mostly near the EADs; the RMDMS-AD will also preserve EADs well. Comparing the proposed new method to existing AD methods using real sinogram, the new method shows good performance in EADs preserving while denoising and suppressing artifacts.

Resumo Limpo

although exist anisotrop diffus ad method support prefect mathemat theori still lead smooth edg anatomi detail ead caus consid discret natur digit signal order improv perform ad sinogram restor lowdos comput tomographi ldct propos new ad method name regular multidirect multiscal anisotrop diffus rmdmsad extend ad regular ad rad multidirect multiscal sinc multidirect can reduc discret error maximum extent meanwhil multiscal rad make search neighborhood solut larg possibl can get optim solut ad new propos method can improv perform ad denois stabil solut moreov discret error illpos solut occur most near ead rmdmsad will also preserv ead well compar propos new method exist ad method use real sinogram new method show good perform ead preserv denois suppress artifact

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