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Geometric Regularization in Bioluminescence Tomography
Tim Kreutzmann
2014
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Bioluminescence tomography is a recent biomedical imaging technique which allows to study molecular and cellular activities in vivo. From a mathematical point of view, it is an ill-posed inverse source problem: the location and the intensity of a photon source inside an organism have to be determined, given the photon count on the organism's surface. To face the ill-posedness of this problem, a geometric regularization approach is introduced, analyzed and numerically verified in this book.
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Keywords
- bioluminescence tomography
- domain derivative
- inverse source problem
- Mathematics & science
- shape optimization
- Tikhonov like regularization
Links
DOI: 10.5445/KSP/1000037411Editions