The notion of periodically deleting samples from a discrete image without information loss is reviewed. The set of signals that satisfy the deletion theorem is generalized to a class that is closed under convolution and hence any filtered version of a member of the class is also a member. A polyphase type structure is developed that allows FIR filtering of the image with deleted samples. An example is then given which shows that there are savings in computer memory and computation when this method is used.
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