Optical transfer function analysis of images blurred by nonharmonic vibrations characterized by their power spectrum density

The optical transfer function (OTF) for image degradation by nonharmonic vi brations is analyzed. Previous analyses of vibration image degradation were restricted to sinusoidal vibrations only or to general vibrations determin ed by the displacement function. However, most of the real-life vibrations are nonharmonic and in general are determined only by the power density spe ctrum envelope. We present a method to calculate the OTF or the expected OT F for any high-frequency vibration determined by its power spectral density . The calculation method is practical for analysis and design of imaging sy stems that are subject to real-life vibrations and for use in restoration o f vibrated images. (C) 1999 Optical Society of America [SO740-3232(99)00509 -8] OCIS codes: 110.4850, 110.2990, 110.4100.