Device for estimating the coordinates of the center of an ideal circle from the knowledge of the coordinates of noisy points distributed at its periphery.

摘要

Apparatus for estimating the coordinates (a, b) of the center O of an ideal circle in a reference plane of origin omega (O, O), from the knowledge of the coordinates of a set of noisy points Mk ( O) distributed at the periphery CT of this circle, this device implementing a criterion called least squares and comprising: BR/ - means for extracting (3) the coordinates of the points Mk (O) of the periphery CT of the circle of center O to be estimated, BR/ - means (1) for providing the value of radius R of this circle of center O, BR/ - calculation means (4, 5, 6, 7, 8 ) to provide an estimate (a, b) of the coordinates (a, b) of the center O of the circle to be estimated by implementing said least squares criterion according to which the minimization of the energy of the difference between, d on the one hand, the square of the distance between the peripheral points Mk and the center O of searched coordinates, and, on the other hand, the square of the radius R of the cerc the. BR/ Application: Telecommunications; Medical imaging.