Abstract: A method increases the spatial resolution of a source image based on an auxiliary, co-registered image of a higher spatial resolution. Each of the source and auxiliary images includes a plurality of pixels with corresponding spectral intensities and the method includes reducing, identifying, deriving, subdividing and modifying steps. Multiple auxiliary images can be used with the method. In the reducing step, a spatial resolution of the auxiliary image is reduced to a common resolution with the source image. Then in the identifying step, corresponding groups of pixels at the common resolution in the source and auxiliary images are identified. Then in the deriving step, a mapping function is derived which relates the rate of change of intensity of each group in the auxiliary image and the corresponding rate of change of intensity in the corresponding group in the source image to the intensity vector. This map can be conditioned on any number of auxiliary image planes.

Abstract: A phase diversity wavefront correction system for use in a multiple aperture optical imaging system forms an in-focus image as a composite, focused image from the multiple apertures of the system and also forms an additional image which is deliberately made out of focus to a known extent. Taken together, the two images are processed to create one or more metrics, such as the power metric and sharpness metric. Neural networks are provided, each having an output corresponding to a parameter of an aperture of the imaging system, such as a piston position (axial displacement) or tip/tilt (angular displacement) of one telescope with respect to the others in the system.

Abstract: A phase diversity wavefront correction system for use in a multiple aperture optical imaging system forms an in-focus image as a composite, focused image from the multiple apertures of the system and also forms an additional image which is deliberately made out of focus to a known extent. Taken together, the two images are processed to create one or more metrics, such as the power metric and sharpness metric. Neural networks are provided, each having an output corresponding to a parameter of an aperture of the imaging system, such as a piston position (axial displacement) or tip/tilt (angular displacement) of one telescope with respect to the others in the system.