Article

The Fractional Spectrum: A Unified Adaptive Framework for Image Enhancement via Generalized Derivatives and Multi-Directional Fusion

2026-08-13

Abstract excerpt

<title>Abstract</title> <p>Integer-order differential operators such as Sobel (α=1) and Laplacian (α=2) are widely used for image texture enhancement, yet they occupy two isolated points on a richer continuum. This paper establishes a unified framework in which both are proved to be special cases of the Grünwald-Letnikov (GL) fractional-order derivative. For non-integer 0 < α < 1 the GL operator sits in a spectra...

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Literature Corpus work: d32de5e0-cc56-552d-856c-f1bccaa7b8d9
DOI: 10.21203/rs.3.rs-10674904/v1

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