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20232026
most citedVariable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal

3 citations · 5 across the 12 of their papers we have counts for

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6 papers · 1 filter

cs.CV2025

TA-LSDiff:Topology-Aware Diffusion Guided by a Level Set Energy for Pancreas Segmentation

Yue Gou, Fanghui Song, Yuming Xing +3

Pancreas segmentation in medical image processing is a persistent challenge due to its small size, low contrast against adjacent tissues, and significant topological variations. Tr…

math.NA2025

Incorporating Local Hölder Regularity into PINNs for Solving Elliptic PDEs

Qirui Zhou, Jiebao Sun, Yi Ran +1

In this paper, local Hölder regularization is incorporated into a physics-informed neural networks (PINNs) framework for solving elliptic partial differential equations (PDEs). Mot…

math.AP2025

Coupling local and nonlocal total variation flow for image despeckling

Yi Ran, Zhichang Guo, Kehan Shi +4

Nonlocal equations effectively preserve textures but exhibit weak regularization effects in image denoising, whereas local equations offer strong denoising capabilities yet fail to…

cs.CV2025

Progressive Alignment Degradation Learning for Pansharpening

Enzhe Zhao, Zhichang Guo, Yao Li +2

Deep learning-based pansharpening has been shown to effectively generate high-resolution multispectral (HRMS) images. To create supervised ground-truth HRMS images, synthetic data…

math.AP2025

A class of thin-film equations with space-time dependent gradient nonlinearity and its application to image sharpening

Yuhang Li, Zhichang Guo, Fanghui Song +2

We introduce a class of thin-film equations with space-time dependent gradient nonlinearity and apply them to image sharpening. By modifying the potential well method, we overcome…

math.AP2025

On the solutions to variable-order fractional p-Laplacian evolution equation with L^1-data

Sixuan Liu, Gang Dong, Hui Bi +1

This study investigates Dirichlet boundary condition related to a class of nonlinear parabolic problem with nonnegative -data, which has a variable-order fractional -Laplac…