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On the design of quadratic filters with application to image processing. 1997

S V Uppala, and J D Sahr
Dept. of Electr. Eng., Washington Univ., Seattle, WA.

We present a systematic design method for quadratic filters, and show an example for an edge detector. Our design maximizes the output signal-to-noise ratio (SNR) constrained to detect desired signals while ignoring specified error signals such as shot noise. This filter compares favorably with Sobel and morphological detectors of similar complexity.

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