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Regularized Reconstruction of Nonnegative Images Degraded by a Point-spread Function with a Band-limited Transfer Function

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Abstract

In the reconstruction of images obtained from diffraction-limited optical systems such as two and three-dimensional light microscopic images, the observed image can be modeled as the convolution of the actual image with a point spread function, whose transfer function is band limited [1]. In addition, such images are contaminated by additive noise, whose signal to noise ratio we assume can be estimated. To obtain a reconstruction which contains information about the actual images in the frequency region where the optical transfer function is zero, additional constraints, such as positivity must be imposed [2].

© 1989 Optical Society of America

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