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Proceedings Paper

Adjoint based Hessian evaluation for SPN modeled optical tomography
Author(s): Nishigandha Patil; Naren Naik
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Paper Abstract

Hessian matrices are important in inversion algorithms due to their potential of use in full Newton schemes, analysis of reconstruction results, and in experimental design. We present for the first time an adjoint based evaluation of the Hessian matrix for the SPN-approximation modeled forward operator in optical tomography. The Hessians so calculated are numerically validated with respect to finite difference calculations. We present comparisons between computational requirements of the present scheme with a mixed scheme which evaluates the Hessian as the first difference of the adjoint based Jacobians.

Paper Details

Date Published: 24 April 2018
PDF: 5 pages
Proc. SPIE 10711, Biomedical Imaging and Sensing Conference, 107111M (24 April 2018); doi: 10.1117/12.2319162
Show Author Affiliations
Nishigandha Patil, Indian Institute of Technology Kanpur (India)
Naren Naik, Indian Institute of Technology Kanpur (India)

Published in SPIE Proceedings Vol. 10711:
Biomedical Imaging and Sensing Conference
Toyohiko Yatagai; Yoshihisa Aizu; Osamu Matoba; Yasuhiro Awatsuji; Yuan Luo, Editor(s)

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