WENO based adaptive image zooming algorithm

IF 3.5 2区 数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2024-12-18 DOI:10.1016/j.amc.2024.129228
Bojan Crnković , Jerko Škifić , Tina Bosner
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Abstract

Zooming or upsampling images is a common technique and an essential step in many image processing algorithms. This process introduces new information that can lead to numerical effects such as ringing artifacts, aliasing effects and blurring of the image. In this paper, we propose a polynomial interpolation algorithm based on the WENO algorithm for upsampling images, which provides high accuracy in smooth regions, preserves edges and reduces aliasing effects. Although this is not the first application of WENO interpolation for image resampling, it is designed to have comparable complexity and memory load with better image quality than the separable WENO algorithm.
We show that the algorithm performs equally well on smooth functions, artificial pixel art and real digital images. The comparison with similar methods on test images shows good results on standard metrics and also provides visually satisfying results. Furthermore, the low complexity of the algorithm is ensured by a small local approximation stencil and the appropriate choice of smoothness indicators.

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基于WENO的自适应图像缩放算法
放大或上采样图像是一种常见的技术,也是许多图像处理算法的重要步骤。这个过程引入了新的信息,这些信息可能导致诸如环形伪影、混叠效应和图像模糊等数值效应。在本文中,我们提出了一种基于WENO算法的上采样图像多项式插值算法,该算法在光滑区域提供了较高的精度,保留了边缘并减少了混叠效应。虽然这不是WENO插值在图像重采样中的首次应用,但其设计具有与可分离WENO算法相当的复杂性和内存负载,并且具有更好的图像质量。
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来源期刊
CiteScore
7.90
自引率
10.00%
发文量
755
审稿时长
36 days
期刊介绍: Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
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