Mathematical Methods in Biomedical Imaging

"This book consists of research and review papers by leading experts and practitioners in biomedical imaging and intensity-modulated radiation therapy (IMRT). The topics include mathematical aspects and practical problems in current major and emerging technologies for the diagnostic and therapeutic medicine and biology research. The contributed work signifies the interdisciplinary cooperation between mathematicians and scientists from medical physics, engineering, clinical medicine and biology, that leads to mathematically-based better solutions of practical problems in biomedical imaging and IMRT. This book is also a survey of important research directions and opportunities in mathematics induced by problems in biomedical imaging and radiation planning applications."--BOOK JACKET.

Reconstruction and regularisation in optical tomography	p. 1
Inverse transport from angularly averaged measurements and time harmonic isotropic sources	p. 19
Iterative image reconstruction: a point of view	p. 37
Iterative projection methods in biomedical inverse problems	p. 65
Algorithms for satisfying dose-volume constraints in intensity-modulated radiation therapy	p. 97
An inverse source elliptic problem: application to EEG	p. 107
Some properties of ART-type reconstruction algorithms	p. 131
Uniqueness results for multi-spectral bioluminescence tomography	p. 153
Towards on-line adaptive radiotherapy for cervical cancer	p. 173
Non-contact fluorescence optical tomography with adaptive finite element methods	p. 185
Ultrasound tomography with sources on a line	p. 201
Image reconstruction and image analysis in tomography: fan beam and 3D cone beam	p. 211
A variational Bayesian algorithm for inverse problem of computed tomography	p. 231
Ultrasound tomography with fixed linear arrays of transducers	p. 253
On reconstruction algorithms of X-ray phase contrast CT by holographic measurements	p. 267
Reconstruction methodsin electron tomography	p. 289
Local tomography in 3-D SPEer	p. 321
Exploring the conformational flexibility of molecular machines	p. 349
Inversion formulas and fast image reconstruction algorithms in optical tomography	p. 367
20 years of imaging in vector field tomography: a review	p. 389
Development of X-ray computed tomography and bioluminescence tomography	p. 425
Development and implementation of software tools in image manipulation, inverse planning for image guided adaptive radiotherapy	p. 447
Image guided intensity modulated radiation therapy	p. 479
Time reversal based direct imaging methods	p. 505
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Mathematical Methods in Biomedical Imaging and Intensity-modulated Radiation Therapy Imrt

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