Med Biol Eng Comput - An adaptive Tikhonov regularization method for fluorescence molecular tomography.

Tópicos

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Resumo

The high degree of absorption and scattering of photons propagating through biological tissues makes fluorescence molecular tomography (FMT) reconstruction a severe ill-posed problem and the reconstructed result is susceptible to noise in the measurements. To obtain a reasonable solution, Tikhonov regularization (TR) is generally employed to solve the inverse problem of FMT. However, with a fixed regularization parameter, the Tikhonov solutions suffer from low resolution. In this work, an adaptive Tikhonov regularization (ATR) method is presented. Considering that large regularization parameters can smoothen the solution with low spatial resolution, while small regularization parameters can sharpen the solution with high level of noise, the ATR method adaptively updates the spatially varying regularization parameters during the iteration process and uses them to penalize the solutions. The ATR method can adequately sharpen the feasible region with fluorescent probes and smoothen the region without fluorescent probes resorting to no complementary priori information. Phantom experiments are performed to verify the feasibility of the proposed method. The results demonstrate that the proposed method can improve the spatial resolution and reduce the noise of FMT reconstruction at the same time.

Resumo Limpo

high degre absorpt scatter photon propag biolog tissu make fluoresc molecular tomographi fmt reconstruct sever illpos problem reconstruct result suscept nois measur obtain reason solut tikhonov regular tr general employ solv invers problem fmt howev fix regular paramet tikhonov solut suffer low resolut work adapt tikhonov regular atr method present consid larg regular paramet can smoothen solut low spatial resolut small regular paramet can sharpen solut high level nois atr method adapt updat spatial vari regular paramet iter process use penal solut atr method can adequ sharpen feasibl region fluoresc probe smoothen region without fluoresc probe resort complementari priori inform phantom experi perform verifi feasibl propos method result demonstr propos method can improv spatial resolut reduc nois fmt reconstruct time

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