Mathematical modeling of multi-component displacements and the optical method of their measurement

The article describes fundamentals of optical measurements of informative components complicated displacements of moving objects based on the method of multivariate test objects. Basic idea introduces the concept of a vector multi-component physical quantity that represents a new view on the vector quantities and on the values that characterize the movement and deformation of the mechanical systems and other mechanical objects. This paper presents a method of formal construction of multi-component displacement models, which can automatically embed them in-formative components of multi-component multivariate test objects. This makes the procedure of implementation of the method of measurement logical conclusion.