Fractional-order diffusion coupled with integer-order diffusion for multiplicative noise removal

C Li, C He - Computers & Mathematics with Applications, 2023 - Elsevier
The problem of multiplicative noise removal has attracted much attention in recent years.
Unlike additive noise, multiplicative noise destroys almost all information of an image; …

[HTML][HTML] Nonlinear anisotropic diffusion methods for image denoising problems: Challenges and future research opportunities

B Maiseli - Array, 2023 - Elsevier
Nonlinear anisotropic diffusion has attracted a great deal of attention for its ability to
simultaneously remove noise and preserve semantic image features. This ability favors …

Noise removal using an adaptive Euler's elastica-based model

J Yang, M Ma, J Zhang, C Wang - The Visual Computer, 2023 - Springer
We consider the Euler's elastica-based model for an image noise removal problem. Several
recent works have demonstrated that Euler's elastica-based model performs better than the …

A Fast Minimization Algorithm for the Euler Elastica Model Based on a Bilinear Decomposition

Z Liu, B Sun, XC Tai, Q Wang, H Chang - SIAM Journal on Scientific …, 2024 - SIAM
The Euler elastica (EE) model with surface curvature can generate artifact-free results
compared with the traditional total variation regularization model in image processing …

Multiscale hierarchical decomposition methods for images corrupted by multiplicative noise

J Barnett, W Li, E Resmerita, L Vese - arXiv preprint arXiv:2310.06195, 2023 - arxiv.org
Recovering images corrupted by multiplicative noise is a well known challenging task.
Motivated by the success of multiscale hierarchical decomposition methods (MHDM) in …

Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal

K Shi - Computers & Mathematics with Applications, 2024 - Elsevier
In this paper, a convex variational model based on the adaptive total variation (TV)
regularization is proposed for image restoration under multiplicative noise. The adaptive …

An Efficient Inexact Gauss–Seidel-Based Algorithm for Image Restoration with Mixed Noise

T Wu, Y Min, C Huang, Z Li, Z Wu, T Zeng - Journal of Scientific Computing, 2024 - Springer
A challenge in image restoration is to recover a clear image from the blurry observation in
the presence of different types of noise. There are few works addressing image deblurring …

Three-Dimensional Surface Reconstruction from Point Clouds Using Euler's Elastica Regularization

J Song, H Pan, Y Zhang, W Lu, J Ding, W Wei, W Liu… - Applied Sciences, 2023 - mdpi.com
Euler's elastica energy regularizer, initially employed in mathematical and physical systems,
has recently garnered much attention in image processing and computer vision tasks. Due …

Mixed geometry information regularization for image multiplicative denoising

S Yang, Z Guo, J Li, F Song, W Yao - arXiv preprint arXiv:2412.16445, 2024 - arxiv.org
This paper focuses on solving the multiplicative gamma denoising problem via a variation
model. Variation-based regularization models have been extensively employed in a variety …

Skull surface reconstruction with Euler's Elastica model from point cloud data

H Niu, Z Pan, J Zhao, M Zhou - Journal of Computer-Aided Design & …, 2022 - jcad.cn
In order to reconstruct accurate smooth implicit surfaces from skull point cloud data with
complex topological relations, a variational level set method based on Euler's Elastica …