On the Use of Nonlinear Transformations for Box-Constrained Contrast Source Inversion
The Tenth International Conference on Computational Mathematics and Engineering Sciences (CMES-2026), Isparta, Türkiye, 24 - 26 Nisan 2026, ss.94, (Özet Bildiri)
- Yayın Türü: Bildiri / Özet Bildiri
- Basıldığı Şehir: Isparta
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.94
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
We investigate the use of nonlinear transformations within the Contrast Source Inversion
(CSI) method to enforce a priori bounds on the contrast. The considered approach maps the
bounded contrast variable to an unbounded auxiliary variable through suitable nonlinear
transformations, thereby avoiding nonphysical estimates during the inversion process. Two
alternative transformation schemes are examined, and their influence on the update mechanism
is incorporated via the corresponding gradient expressions. This formulation enables
unconstrained optimization in the transformed domain while implicitly satisfying the physical
bounds on the contrast. The numerical behavior of the considered transformations is analyzed
through representative simulations.