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将小波多分辨率技术应用于荧光漫射光学层析成像的模型简化

Model reduction using wavelet multiresolution technique applied to fluorescence diffuse optical tomography.

作者信息

Landragin-Frassati Anne, Dinten Jean-Marc, Georges Didier, Da Silva Anabela

机构信息

LETI-CEA-MINATEC, Micro-Technologies for Biology and Healthcare Division, 17 Rue des Martyrs, F-38054 Grenoble Cedex 9, France.

出版信息

Appl Opt. 2009 Dec 20;48(36):6878-92. doi: 10.1364/AO.48.006878.

Abstract

Fluorescence diffuse optical tomography is a powerful tool for the investigation of molecular events in studies for new therapeutic developments. Here, the stress is put on the mathematical problem of tomography, which can be formulated in terms of an estimation of physical parameters appearing as a set of partial differential equations and solved by the finite element method. This method is well known to be time consuming, and our principal objective is to reduce the model in order to speed up computation. A method based on a wavelet multiresolution technique is presented in detail. A validation study was conducted on synthetic data and experiments.

摘要

荧光漫射光学断层扫描是研究新治疗方法开发中分子事件的有力工具。这里,重点在于断层扫描的数学问题,它可以根据作为一组偏微分方程出现的物理参数估计来表述,并通过有限元方法求解。众所周知,这种方法耗时,我们的主要目标是简化模型以加快计算速度。详细介绍了一种基于小波多分辨率技术的方法。对合成数据和实验进行了验证研究。

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