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使用选择性滤波器的直方图均衡化。

Histogram equalization using a selective filter.

作者信息

Dyke Roberto M, Hormann Kai

机构信息

Faculty of Informatics, Università della Svizzera italiana, Via Buffi 13, 6900 Lugano, Switzerland.

出版信息

Vis Comput. 2023;39(12):6221-6235. doi: 10.1007/s00371-022-02723-8. Epub 2022 Nov 29.

DOI:10.1007/s00371-022-02723-8
PMID:37969935
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10635952/
Abstract

Many popular modern image processing software packages implement a naïve form of histogram equalization. This implementation is known to produce histograms that are not truly uniform. While exact histogram equalization techniques exist, these may produce undesirable artifacts in some scenarios. In this paper we consider the link between the established continuous theory for global histogram equalization and its discrete implementation, and we formulate a novel histogram equalization technique that builds upon and considerably improves the naïve approach. We show that we can linearly interpolate the cumulative distribution of a low-bit image by approximately dequantizing its intensities using a selective box filter. This helps to distribute the intensities more evenly. The proposed algorithm is subsequently evaluated and compared with existing works in the literature. We find that the method is capable of producing an equalized histogram that has a high entropy, while distances between similar intensities are preserved. The described approach has implications on several related image processing problems, e.g., edge detection.

摘要

许多流行的现代图像处理软件包都实现了一种简单形式的直方图均衡化。已知这种实现方式会产生并非真正均匀的直方图。虽然存在精确的直方图均衡化技术,但在某些情况下这些技术可能会产生不良伪影。在本文中,我们考虑了已有的全局直方图均衡化连续理论与其离散实现之间的联系,并制定了一种新颖的直方图均衡化技术,该技术基于简单方法并对其进行了大幅改进。我们表明,通过使用选择性盒式滤波器对低比特图像的强度进行近似去量化,我们可以对其累积分布进行线性插值。这有助于更均匀地分布强度。随后对所提出的算法进行了评估,并与文献中的现有工作进行了比较。我们发现该方法能够生成具有高熵的均衡化直方图,同时保留相似强度之间的距离。所描述的方法对几个相关的图像处理问题有影响,例如边缘检测。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/96ae714424bf/371_2022_2723_Fig11_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/0bccbc3fb209/371_2022_2723_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/96ae714424bf/371_2022_2723_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/bcb5052a54ec/371_2022_2723_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/d1b3fc1006d9/371_2022_2723_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/069f56b2e197/371_2022_2723_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/1bc0243ae502/371_2022_2723_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/13631ec584b7/371_2022_2723_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/5f7d1f08fdeb/371_2022_2723_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/4e039d18d84f/371_2022_2723_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/8baf6cabe786/371_2022_2723_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/4770b59b11ac/371_2022_2723_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/0bccbc3fb209/371_2022_2723_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a498/10635952/96ae714424bf/371_2022_2723_Fig11_HTML.jpg

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