Reconstruction of Piecewise Smooth Functions Based on Fourier Extension

This paper proposes a hierarchical Fourier extension framework for the accurate reconstruction of piecewise smooth functions with mixed-order singularities. To address key challenges in spectral approximation–namely boundary-induced artifacts, instability in edge detection, and loss of accuracy near...

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Bibliographic Details
Main Authors: Xusheng Li, Zhenyu Zhao, Xianzheng Jia
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Axioms
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Online Access:https://www.mdpi.com/2075-1680/14/7/489
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