Optimal combination of data modes in inverse problems: Maximum compatibility estimate

DOI10.1142/9789814313179_0047zbMATH Open1266.65037arXiv1001.2634OpenAlexW2962858608MaRDI QIDQ4919464

Mikko Kaasalainen

Publication date: 14 May 2013

Published in: Progress in Analysis and Its Applications (Search for Journal in Brave)

Abstract: We present an optimal strategy for the relative weighting of different data modes in inverse problems, and derive the maximum compatibility estimate (MCE) that corresponds to the maximum likelihood or maximum a posteriori estimates in the case of a single data mode. MCE is not explicitly dependent on the noise levels, scale factors or numbers of data points of the complementary data modes, and can be determined without the mode weight parameters. As a case study, we consider the problem of reconstructing the shape of a body in $R^3$ from the boundary curves (profiles) and volumes (brightness values) of its generalized projections.

Full work available at URL: https://arxiv.org/abs/1001.2634

zbMATH Keywords

inverse problemsmaximum likelihoodcomputational geometrythree-dimensional polytopesmaximum a posteriori estimatesmaximum compatibility estimatereconstructing the shape of a body

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

This page was built for publication: Optimal combination of data modes in inverse problems: Maximum compatibility estimate

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4919464)