Reflective Symmetrization of Images

摘要

This paper proposes several algebraic methods aimed at refining the positions of characteristic points (that describe some objects on a pattern) based on the a priori information about their symmetrical position. These methods are known as the symmetrization of characteristic points. We consider symmetrization of points for the cases of vertical and arbitrary symmetry with known parameters of the symmetry axis, as well as more general case of symmetrization with unknown parameters of axial symmetry. The methods under consideration give a solution to the axial symmetrization problem with minimal variation of characteristic points.