Variational Methods in Signal and Image Processing
نویسندگان
چکیده
Abstract: This paper provides an overview of the applications that calculus of variations found in two major fields of interest, namely signal processing and image processing. We will describe the significant role of calculus of variations in modeling and optimizing a variety of signal and image processing problems. Specifically, the key role of calculus of variations in deriving the worst-case (maximum) Cramér-Rao bound, or equivalently the minimum Fisher information, and in optimizing the pulse shaping in wireless communications will be discussed. Also, the variational methods applied in image processing, such as image denoising and deblurring, will be illustrated.
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