Image registration for zooming: A statistically consistent local feature mapping approach

IF 0.7 4区 数学 Q3 STATISTICS & PROBABILITY Stat Pub Date : 2024-03-05 DOI:10.1002/sta4.664
Sujay Das, Anik Roy, Partha Sarathi Mukherjee
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Abstract

Image registration is a widely used tool for matching two images of the same scene with one another. In the literature, several image registration techniques are available to register rigid-body and non-rigid-body transformations. One such important transformation is zooming. There are very few feature-based methods that address this particular problem. These methods fail miserably when there are only a limited number of point features available in the image. This paper proposes a feature-based approach that works with a feature that is readily available in almost all images, for registering two images of the same image object where one is a zoomed-in version of the other. In the proposed method, we first detect the possible edge points which we consider as features in both the reference and the zoomed image. Then, we map these features of the reference and the zoomed image with one another and find the relationship between them using a mathematical model. Finally, we use the relationship to register the zoomed-in image. This method outperforms some of the state-of-the-art methods in many occasions. Several numerical examples and some statistical properties justify that this method works well in many applications.
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缩放图像注册:统计一致的局部特征映射方法
图像配准是一种广泛应用的工具,用于将同一场景的两幅图像相互匹配。在文献中,有多种图像配准技术可用于配准刚体和非刚体变换。其中一个重要的变换就是缩放。目前只有极少数基于特征的方法可以解决这一特殊问题。当图像中可用的点特征数量有限时,这些方法就会惨遭失败。本文提出了一种基于特征的方法,利用几乎所有图像中都存在的特征,对同一图像对象的两幅图像进行注册,其中一幅图像是另一幅图像的放大版本。在建议的方法中,我们首先检测可能的边缘点,并将其视为参考图像和放大图像中的特征。然后,我们将参考图像和放大图像中的这些特征相互映射,并使用数学模型找出它们之间的关系。最后,我们利用这种关系来注册放大后的图像。这种方法在很多情况下都优于一些最先进的方法。几个数字实例和一些统计特性证明,这种方法在许多应用中都能很好地发挥作用。
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来源期刊
Stat
Stat Decision Sciences-Statistics, Probability and Uncertainty
CiteScore
1.10
自引率
0.00%
发文量
85
期刊介绍: Stat is an innovative electronic journal for the rapid publication of novel and topical research results, publishing compact articles of the highest quality in all areas of statistical endeavour. Its purpose is to provide a means of rapid sharing of important new theoretical, methodological and applied research. Stat is a joint venture between the International Statistical Institute and Wiley-Blackwell. Stat is characterised by: • Speed - a high-quality review process that aims to reach a decision within 20 days of submission. • Concision - a maximum article length of 10 pages of text, not including references. • Supporting materials - inclusion of electronic supporting materials including graphs, video, software, data and images. • Scope - addresses all areas of statistics and interdisciplinary areas. Stat is a scientific journal for the international community of statisticians and researchers and practitioners in allied quantitative disciplines.
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