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Invertibility of a special class of mean filter operators

Journal of Mathematical Imaging and Vision, 1992
This paper presents a proof of the fact that if the (circulant) von Neumann mean filter operator is defined on a square coordinate set with iem rows and iem columns, then it fails to be invertible only if either the integer 5 divides iem or the integer 6 divides iem. This result answers a question posed by P.
Zohra Z. Manseur, David C. Wilson
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