The invention provides an aspheric optical element partition
processing path generation method based on an improved Lloyd
algorithm, and belongs to the field of aspheric optical element
processing.The aspheric optical element partition
processing path generation method comprises the steps that firstly, on the basis of
surface shape error data of an aspheric optical element, a processing area is divided into a high residual area, a low residual area and a non-processing area through self-adaptive
double threshold and adjacent
connectivity analysis; and combining the isolated regions. An improved Lloyd
algorithm is adopted, high-order iteration and low-order iteration are carried out in a high residual error region and a low residual error region respectively, and a Voronoi grid which is adaptive to the region shape and controllable in density is generated. A spiral path is designed in each Voronoi unit on the basis of the
center of mass, and a spiral path based on the Voronoi shape is formed, so that sufficient
machining is ensured. According to the method, sudden rotation angles and curvature sudden changes in the path can be effectively avoided, and the processing density can be adaptively adjusted according to the
surface shape error, so that the intermediate-frequency error is effectively inhibited, and the
surface shape processing quality and efficiency of the aspheric optical element are improved.