Generalized Welsch penalty for edge-aware image decomposition

Edge-aware image decomposition is an essential topic in the field of multimedia signal processing. In this paper, we propose a novel non-convex penalty function, which we name the generalized Welsch function. We show that the proposed penalty function is more than a generalization of most existing p...

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Bibliographic Details
Published in:Multimedia systems 2024-08, Vol.30 (4), Article 186
Main Authors: Yang, Yang, Ji, Shunli, Wang, Xinyu, Zeng, Lanling, Zhan, Yongzhao
Format: Article
Language:English
Subjects:
Algorithms
Color imagery
Computer Communication Networks
Computer Graphics
Computer Science
Cryptology
Data Storage Representation
Decomposition
Edge detection
Image compression
Image enhancement
Multimedia
Multimedia Information Systems
Operating Systems
Optimization
Optimization models
Penalty function
Real time
Regular Paper
Regularization
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Summary:Edge-aware image decomposition is an essential topic in the field of multimedia signal processing. In this paper, we propose a novel non-convex penalty function, which we name the generalized Welsch function. We show that the proposed penalty function is more than a generalization of most existing penalty functions for edge-aware regularization, thus, it better facilitates edge-awareness. We embed the proposed penalty function into a novel optimization model for edge-aware image decomposition. To solve the optimization model with non-convex penalty function, we propose an efficient algorithm based on the additive quadratic minimization and Fourier domain optimization. We have experimented with the proposed method in a variety of tasks, including image smoothing, detail enhancement, HDR tone mapping, and JPEG compression artifact removal. Experiment results show that our method outperforms the state-of-the-art image decomposition methods. Furthermore, our method is highly efficient, it is able to render real-time processing of 720P color images on a modern GPU.
ISSN:0942-4962
1432-1882
DOI:10.1007/s00530-024-01382-0