Abstract

With a convolutional image model and a known imaging system, the process of one-step automatic focus reduces to the statistical detection of the deterministic complex zeros of the specific out-of-focus optical transfer function. These complex zeros are independent of the object response and are only a function of the out-of-focus distance and in general lie off the unit circle. With 1-D data samples, a Baysian statistical detector then corresponds to an efficient matrix vector multiplication. This detector can be shown to be a projection of the sampled data onto the null space of the specific optical transfer functions.

© 1991 Optical Society of America