An Adaptive Hybrid FEM/FDM Method for an Inverse Scattering Problem in Scanning Acoustic Microscopy
SIAM Journal on Scientific Computing
Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
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The three-dimensional (3-D) thermal diagnosis has become a potential assistant medical diagnosis method. But the reconstruction of 3-D heat source is very complicated and difficult. Just from the surface temperature data, the 3-D distribution of heat and temperature for organisms can be reconstructed by solving Pennes' bio-heat equation with the Monte Carlo method in this paper. In detail, the inverse problem of bio-heat conduction can be solved with the Markov chain Monte Carlo method based on hierarchical Bayesian models, and the 3-D distribution of heat and temperature can be reconstructed through the Monte Carlo method of fixed random walk.