Boolean derivatives with application to edge detection for imaging systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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This paper examines the process of detecting edges using partial derivatives of Boolean functions in noisy multimedia environments. Applicable to binary and multi-bit (grayscale) data, this novel approach examines the binary representation of the original data to reconstruct edge locations within the scene. Competitive with traditional detectors in noise-free situations, the strength is its ability to detect edges in corrupted signals with no need for pre-filtering. Evaluation is performed on several synthetic and natural 2D images corrupted with impulse noise.