Image displacement analysis for electro-optical system for deflection measurement of floating docks

Abstract

An influence of external conditions can lead to a random rotation of the base unit of the electro-optical deflectometer. This will affect the variation of the image coordinates of the control elements in relation to base position, and, as a result, will cause the error in determining the deflection of the analyzed structure. The changes in the position of the image coordinates of the reference marks before and after the base unit rotation of the electro-optical deflectometer was estimated with the help of elements of vector algebra and matrix analysis. The results of the analysis show that errors in the assignment of the coordinates of the control elements are affected not only by the angle of rotation, but also by the position of rotation axis around which the base unit rotates.