Inverse Problems in Theory and Practice of Measurements and Metrology

Abstract

In this paper, we consider the role of inverse problems in metrology. We describe general methods of solving inverse problems which are useful in measurements practice. We also discuss how to modify these methods in situations in which there is a need for real -time data processing.

Application of optimization methods for improved electrical metrology

“…Design applications generally aim to minimise manufacturing or material costs subject to performance criteria, which is an inverse problem requiring optimisation techniques [7]. What mathematical physics denotes as inverse problems is the class of problems which are fundamental in measurement theory and practice [8]. The main objective of such problems is to develop procedures for acquiring information on object and phenomena, accompanied by decreasing the distortion caused by measuring instruments [8].…”

“…What mathematical physics denotes as inverse problems is the class of problems which are fundamental in measurement theory and practice [8]. The main objective of such problems is to develop procedures for acquiring information on object and phenomena, accompanied by decreasing the distortion caused by measuring instruments [8]. In [7] the implementation of Levenburg-Marquardt, sequential quadratic programming, Nelder-Mead, simulated annealing and practical swarm optimisation for metrology and design with continuous models is reported.…”