Abstract

Measuring attenuation coefficients is a fundamental problem that can be solved with diverse techniques such as X-ray or optical tomography and lidar. We propose a novel technique based on the observation of a sample from a few different angles. In principle, it can be used in existing devices such as lidar or various types of fluorescence microscopes. It is based on the resolution of a nonlinear inverse problem. We propose a specific computational approach to solve it and show the well-foundedness of the approach on simulated data. Some of the tools developed are of independent interest. In particular we propose an adaptation of the nonlocal-means to heteroscedastic noise used to correct attenuation defects and new robust solvers for the lidar equation.

© 2017 Optical Society of America