Capdeboscq, Y.; Fehrenbach, J.; De Gournay, F.; Kavian, O. Imaging by modification: numerical reconstruction of local conductivities from corresponding power density measurements. (English) Zbl 1180.35549 SIAM J. Imaging Sci. 2, No. 4, 1003-1030 (2009). Summary: We discuss the reconstruction of the impedance from the local power density. This study is motivated by a new imaging principle which allows us to recover interior measurements of the energy density by a noninvasive method. We discuss the theoretical feasibility in two dimensions, and propose numerical algorithms to recover the conductivity in two and three dimensions. The efficiency of this approach is documented by several numerical simulations. Cited in 1 ReviewCited in 32 Documents MSC: 35R30 Inverse problems for PDEs 74B05 Classical linear elasticity 92C55 Biomedical imaging and signal processing 68U10 Computing methodologies for image processing 78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory Keywords:inverse problem; conductivity; imaging PDFBibTeX XMLCite \textit{Y. Capdeboscq} et al., SIAM J. Imaging Sci. 2, No. 4, 1003--1030 (2009; Zbl 1180.35549) Full Text: DOI HAL