There seems to be considerable interest in the design of a discrete two-dimensional filter from band-pass and band-reject area specification in the ω-k plane. The calculation of such a filter requires the evaluation of a double integral for each filter point. Considerable effort has been expended in efforts to give the results of these integrations in closed form for special cases. The present note was written to point out that a rather general class of filters can be calculated from a single computer program. The simplicity of this program is a result of an elementary application of Green's Theorem in the plane.

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