Ultrasound modulated bioluminescence tomography and controllability of the radiative transport equation

Ultrasound Modulated Bioluminescence Tomography With A Single Optical Measurement

Ultrasound modulated bioluminescence tomography (UMBLT) is an imaging method which can be formulated as a hybrid inverse source problem. In the regime where light propagation is modeled by a radiative transfer equation, previous approaches to this problem require large numbers of optical measurements [10]. Here we propose an alternative solution for this inverse problem which requires only a single optical measurement in order to reconstruct the isotropic source. Specifically, we derive two inversion formulae based on Neumann series and Fredholm theory respectively, and prove their convergence…

具有部分数据和不确定光学参数的扩散超声调制生物发光断层成像

The Diffusive Ultrasound Modulated Bioluminescence Tomography with Partial Data and Uncertain Optical Parameters

针对部分边界测量且光学参数不确定的扩散超声调制生物发光断层成像，提出含不确定性量化的源重建与离散方法，并通过数值实验验证其有效性和可靠性。