Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
Journal of Computational Physics
The inverse source problem based on the radiative transfer equation in optical molecular imaging
Journal of Computational Physics
A level set evolution strategy in microwave imaging for early breast cancer detection
Computers & Mathematics with Applications
Electrical impedance tomography using level set representation and total variational regularization
Journal of Computational Physics
IEEE Transactions on Image Processing
All-optical quantitative framework for bioluminescence tomography with non-contact measurement
International Journal of Automation and Computing
Journal of Biomedical Imaging - Special issue on Mathematical Methods for Images and Surfaces 2011
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We propose a novel multi-phase level set algorithm for solving the inverse problem of bioluminescence tomography. The distribution of unknown interior source is considered as piecewise constant and represented by using multiple level set functions. The localization of interior bioluminescence source is implemented by tracing the evolution of level set function. An alternate search scheme is incorporated to ensure the global optimal of reconstruction. Both numerical and physical experiments are performed to evaluate the developed level set reconstruction method. Reconstruction results show that the proposed method can stably resolve the interior source of bioluminescence tomography.