Xin Li

An Adaptive B-Spline Method for Low-order Image Reconstruction Problems

Friday, November 10, 2000
3:15 PM
306 Egan

Abstract

In this thesis, the adaptive B-Spline method is applied to a cross-well tomography problem. The problem comes from the application of finding underground pollution plumes. Cross-well tomography method is applied by placing arrays of electromagnetic transmitters and receivers along the boundaries of the interested region. By utilizing inverse scattering method, a linear inverse model is set up and furthermore the adaptive B-Spline method described above is applied. The simulation results show that the B-Spline method reduces the dimensional complexity by 90%, compared with that of the pixed-based method, and decreases time complexity by 50%, without significantly degrading the estimation.

Thesis Committee:
Prof. E.L. Miller (Thesis advisor)
Prof. C. Rappaport
Prof. D.H. Brooks