ボルテラ級数を用いた画像処理用非線形空間フィルタの設計

概要

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Present spatial filters used for image processing such as smoothing and Laplacian filters can not realize the desired image processing, since they are restricted to be linear. While the nonlinear filters proposed in this paper can accurately approximate the desired image processing. Therefore, a variety of smoothing filters, which can not be implemented by linear filters, and filters which can restore images which were degraded due to nonlinear factors can be constructed. Furthermore, in designing a nonlinear filter, a prior information is not required. Only a pair of two images is required in the design : which are the input and the output images obtained from the input image through the desired filter. Therefore, if certain conditions are met, any spatial filter can be designed automatically.
東海大学の論文