A method for recognizing three‐dimensional position of a rigid body using its shape. error analysis and an optimization of observation system

Abstract

AbstractIn the problem of measuring three‐dimensional positions and motion of a rigid body, methods to determine the three‐dimensional position from its optical projection data on a two‐dimensional plane have been widely used. We have proposed a method using positional relations among the marked points and applied it to three‐dimensional movement measurement of the human law.If the positions of three marked points on a rigid body are known, measuring these positions requires only one projection datum at each point to determine the three‐dimensional position of the points, since the degree of freedom of a rigid body is six. A previous paper presented formulation of the problem in general form, its solution and theoretical analysis of stability of solution, as well as observation method.This paper analyzes the effect of error associated with measurement on estimating the position of marked points at implementation. Error propagation equations are derived effective for design of measuring instruments. The optimum measuring method is obtained from the viewpoint of error propagation using the result.