A Multiscale Approach to Solving One Dimensional Inverse Problems
MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE
Pagination or Media Count:
In this paper we explore a multiresolution approach to solving one dimensional inverse problems. The approach we take is motivated by the work of Chon, Golden, and Willsky and Beylkin, Coifman, and Rokhlin. Specifically, we consider inverse problems described by that class of operators which are made sparse under the action of the wavelet transform. Moreover, statistically-based inversion procedures utilizing multiscale a priori stochastic models are considered. As a concrete example, we examine a deconvolution problem arising in wellbore induction measurement of conductivity.
- Theoretical Mathematics
- Operations Research