Optimization approach with edge-preserving regularization to time domain 1D inverse scattering

✍ Scribed by Hiromi Yoshida; Toshiyuki Tanaka; Takashi Takenaka

• Book ID: 102159794
• Publisher: John Wiley and Sons
• Year: 2001
• Tongue: English
• Weight: 203 KB
• Volume: 84
• Category: Article
• ISSN: 8756-663X
• DOI: 10.1002/ecjb.1059

✦ Synopsis

Abstract

The electromagnetic inverse scattering problems are in general ill‐conditioned, so that image reconstruction becomes unstable when noise exists or when the number of unknown parameters is increased. Usually, regularization is required. However, when regularization is applied, the high‐frequency components in the reconstructed image are suppressed and the reconstruction of the edges becomes difficult. Hence, the concept of edge preservation has been proposed, by which the smoothly varying parts are made smoother and the sharply varying parts sharper. The effectiveness of this concept has been confirmed by analysis in the frequency domain. In this paper, the concept of edge preservation is introduced into the analysis in the time domain. The effect of edge preservation is discussed. As numerical examples, estimation results are presented for the medium constants in a lossless dielectric slab and a lossy dielectric slab. The effectiveness of the method is confirmed. © 2001 Scripta Technica, Electron Comm Jpn Pt 2, 84(10): 1–8, 2001