CMSE 890 (002) - Medical and Seismic Imaging (Fall 2018)

Description:  The purpose of this course is to introduce the mathematical problems in modern medical and seismic imaging methods. Students will gain experience in modeling various tomography techniques and in formulating imaging problems in mathematical terms. They will be exposed to classical and state-of-the-art algorithms that have been designed to reconstruct the underlying images from observations. Numerical implementation of the algorithms will be discussed as well to complement the theory and give students a better sense of these cutting-edge technologies. 

Time:   Tuesday/Thursday, 12:40-2:00 p.m. in 3400 Engineering Building

Prerequisites:  Calculus III, Numerical Linear Algebra, Fourier analysis (recommended)

Textbook:  None

Instructors:  Profs. Rongrong Wang and Yang Yang (CMSE/Mathematics)

Major topics covered:

Medical Imaging:

  • Computed Tomography (CT)

  • Single Photon Emission Computed Tomography (SPECT)

  • Ultrasound Imaging

  • Optical Tomography

Seismic Imaging:

  • Introduction to wave equations

  • Finite difference method and spectral element method

  • Absorbing boundary conditions

  • Ray-tracing based traveltime tomography

  • Full waveform Tomography