Transport-theory based multispectral imaging with PDE-constrained optimization

Hyun Keol Kim; Molly Flexman; Darrell J. Yamashiro; Jessica J. Kandel; Andreas H. Hielscher

doi:10.1117/12.875908

1 March 2011 Transport-theory based multispectral imaging with PDE-constrained optimization

Hyun Keol Kim, Molly Flexman, Darrell J. Yamashiro, Jessica J. Kandel, Andreas H. Hielscher

Proceedings Volume 7896, Optical Tomography and Spectroscopy of Tissue IX; 78960W (2011) https://doi.org/10.1117/12.875908
Event: SPIE BiOS, 2011, San Francisco, California, United States

Abstract

We introduce here a transport-theory-based PDE-constrained multispectral imaging algorithm for direct reconstruction of the spatial distribution of chromophores in tissue. The method solves the forward and inverse problems simultaneously in the framework of a reduced Hessian sequential quadratic programming method. The performance of the new algorithm is evaluated using numerical and experimental studies involving tumor bearing mice. The results show that the PDE-constrained multispectral method leads to 15-fold acceleration in the image reconstruction of tissue chromophores when compared to the unconstrained multispectral approach and also gives more accurate results when compared to the traditional two-step method.

Citation Download Citation

Hyun Keol Kim, Molly Flexman, Darrell J. Yamashiro, Jessica J. Kandel, and Andreas H. Hielscher "Transport-theory based multispectral imaging with PDE-constrained optimization", Proc. SPIE 7896, Optical Tomography and Spectroscopy of Tissue IX, 78960W (1 March 2011); https://doi.org/10.1117/12.875908

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