1. Bilateral regularized optimization model for edge-preserving image smoothing.
- Author
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Yang, Yang, Sun, Yue, Gao, Wei, Wang, Xinyu, and Zeng, Lanling
- Subjects
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COMPUTATIONAL photography , *IMAGE processing , *SMOOTHING (Numerical analysis) , *KERNEL functions - Abstract
Edge-preserving image smoothing is vital in the field of image processing and computational photography. The state-of-the-art filters based on optimization models have achieved promising performance. However, most of them fail to consider the spatial support in the regularization term, thus limiting the edge-preserving capabilities. In this paper, inspired by the bilateral filter, which consists of a range kernel and a spatial kernel. we propose to leverage bilateral kernel as a penalty function, and embed it into an optimization model for edge-preserving image smoothing. Furthermore, we propose to incorporate an edge-aware weighted scheme in the data term design, which further improves the edge-preserving capability. The bilateral function is non-convex and can be non-trivial to solve. In this paper, we propose a novel iterative solution based on fixed point iteration, where the main burden in each iteration is a bilateral filtering process. We have conducted extensive experiments to evaluate the proposed filter. Experiment results indicate that our filter benefits a variety of image processing tasks. Moreover, we propose an efficient approximation of the proposed filter, which is able to significantly accelerate the filtering process with neglectable sacrifice of smoothing quality. J is the objective function in this paper. Our solver is essentially an iterative procedure, where each iteration selectively adding the normalized detail layer C. ∗ I − C. ∗ O to the bilateral filtered result P. / Q. k indicates the k -th iteration. [Display omitted] • We propose a bilateral regularized optimization model for edge-preserving smoothing. • We incorporate the spatial support in the design of the regularization term. • We incorporate an edge-aware weighted scheme in the design of the data term. • We propose a novel iterative solution for our model based on fixed point iteration. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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