Advanced Topics for Applied Mathematics: Medical Imaging
MATH 508
Spring 2014



Instructor: Horng, Tzyy-Leng
Class Location: Science Hall 409
Class Time: Thu. 1-4 PM
Office Hours: Fri. 1-3 PM


Grade Distribution

 40% homeworks
30% midterm
30% final

Text Book

 The Radon Transform and Medical Imaging, Peter Kuchment, SIAM, 2014.


Syllabus

1: Introduction.
2: Brief and Incomplete History of CT.
3: Traditional Computed Tomography Techniques and Integral Geometry.
4: CT and X-ray and Radon Transforms.
5: Emission Tomography.
6: Artifacts, Incomplete Data, Microlocal Analysis, and Such.
7: More about 3D Radon and X-ray Transforms.
8: A Brief Overview of Numerical Methods.
9: MRI, EIT, OT, Elastography, UT.