Discretization error analysis for fluorescence diffuse optical tomography

Laurel Reilly-Raska; Murat Guven; Birsen Yazici

doi:10.1117/12.763724

12 February 2008 Discretization error analysis for fluorescence diffuse optical tomography

Laurel Reilly-Raska, Murat Guven, Birsen Yazici

Proceedings Volume 6850, Multimodal Biomedical Imaging III; 68500B (2008) https://doi.org/10.1117/12.763724
Event: SPIE BiOS, 2008, San Jose, California, United States

Abstract

In fluorescence diffuse optical tomography, the error due to discretization of the forward and inverse problems leads to an error in the reconstructed image. Using a Galerkin formulation, we consider zeroth and first order Tikhonov regularization terms and analyze the forward and inverse problems under an optimization formulation which incorporates a priori information. We derive error estimates to describe the impact that discretization of the forward and inverse problems due to finite element method has on the accuracy of the reconstructed optical absorbtion image.

Citation Download Citation

Laurel Reilly-Raska, Murat Guven, and Birsen Yazici "Discretization error analysis for fluorescence diffuse optical tomography", Proc. SPIE 6850, Multimodal Biomedical Imaging III, 68500B (12 February 2008); https://doi.org/10.1117/12.763724

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