An imaging system with a diffractive optic captures an interference pattern responsive to light from an imaged scene to represent the scene in a spatial-frequency domain. The sampled frequency-domain image data has properties that are determined by the point-spread function of the diffractive optic and characteristics of the scene. An integrated processor can analyze the characteristics of captured image data and select one of multiple available reconstruction kernels for transforming the frequency-domain image data into a spatial-domain image of the scene.