Full 3-D versus rotated 2-D filters

Dave G. Schieck and Robert R. Stewart

ABSTRACT

This paper demonstrates that a cylindrically symmetric filter in the 3-D frequency domain gives rise to a cylindrically symmetric operator in the 3-D time domain. We also show that a 2-D vertical slice of this symmetric 3-D time-domain operator is not equivalent to the 2-D operator realized from a vertical panel filter in the frequency domain: That is, the 3-D operator is not a rotated version of the 2-D operator.

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