Generalized least squares approach to compute displacements, strains androtations from combined single and/or double illumination holographicinterferometry,

摘要

Abstract: This paper presents a generalized approach to simultaneously compute displacements and its derivatives from a combined single and double illumination setup. If more than three independent illumination sets are used, the redundant data is reduced through a least squares approach. This paper also presents a generalized way to compute an equivalent measurement efficiency coefficient to express how much a specific combined setup is sensitive to each displacement component and also to estimate its random error level. By using this coefficient, one can easily optimize a holographic setup for any particular application just playing with the positioning and the number of illumination points. Both mathematical derivation and analysis and a practical example are presented in this paper.!3