8: Some fractional calculus based approaches for image enhancement
Abstract
In recent years, the use of fractional-order derivatives in image enhancement has gained significant momentum, demonstrating superior results compared to traditional integral-order calculus methods. This chapter delves into the application of fractional calculus in image enhancement, presenting some approaches grounded in mathematical principles. The chapter commences with an overview of the requisite mathematical foundations. The subsequent section presents the main outcomes, by introducing six new fractional derivative masks, elaborating on how fractional calculus can be employed to enhance images. Numerical simulations are provided to demonstrate the efficacy of these ...
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