The universal formula computing the position of sub-aperture spot image for Shack-Hartmann wavefront Sensor

摘要

On the basis of previous formula computing the position of sub-aperture spot image, a universal formula computing the position of sub-aperture spot image for Shack-Hartmann wavefront sensor was developed. The formula is a perfect combination of the coordinates weight algorithm, which times certain coefficient in some coordinates, and the intensity weight algorithm which uses some power of the gray level intensity of the sub-aperture image instead of the gray level intensity itself of the sub-aperture image. The set of concept was introduced, which makes the formula include such factors as noise that influence the accuracy of computing the position of sub-aperture spot image. Some discussion was performed in this paper and it's proved that the universal formula is well consistent not only with the coordinates weight algorithm and the intensity weight algorithm, but also with the correlation tracking algorithm and the feature tracking algorithm. And some novelty of calculating the position of sub-aperture spot image was presented in this paper.