2024
DOI: 10.3390/app14135428
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A New Class of Edge Filter Based on a Cross-correlation-like Equation Derived from Fractional Calculus Principles

Mario Gonzalez-Lee,
Hector Vazquez-Leal,
Jose R. Garcia-Martinez
et al.

Abstract: In this paper, we propose a new sliding window edge-oriented filter that computes the output pixels using a cross-correlation-like equation derived from the principles of fractional calculus (FC); thus, we call it the “fractional cross-correlation filter” (FCCF). We assessed the performance of this filter utilizing exclusively edge-preservation-oriented metrics such as the gradient conduction mean square error (GCMSE), the edge-based structural similarity (EBSSIM), and the multi-scale structural similarity (MS… Show more

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