• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

相似文献

1
Combined invariants to similarity transformation and to blur using orthogonal Zernike moments.利用正交 Zernike 矩的相似变换和模糊综合不变量。
IEEE Trans Image Process. 2011 Feb;20(2):345-60. doi: 10.1109/TIP.2010.2062195. Epub 2010 Jul 29.
2
Blurred image recognition by Legendre moment invariants.基于勒让德矩不变量的模糊图像识别。
IEEE Trans Image Process. 2010 Mar;19(3):596-611. doi: 10.1109/TIP.2009.2036702. Epub 2009 Nov 20.
3
Image analysis by Krawtchouk moments.基于克劳特楚克矩的图像分析。
IEEE Trans Image Process. 2003;12(11):1367-77. doi: 10.1109/TIP.2003.818019.
4
New classes of radiometric and combined radiometric-geometric invariant descriptors.新型辐射测量及辐射测量与几何相结合的不变描述符。
IEEE Trans Image Process. 2008 Jun;17(6):991-1006. doi: 10.1109/TIP.2008.922410.
5
Projection Operators and Moment Invariants to Image Blurring.投影算子和矩不变量在图像模糊中的应用。
IEEE Trans Pattern Anal Mach Intell. 2015 Apr;37(4):786-802. doi: 10.1109/TPAMI.2014.2353644.
6
Image deconvolution by means of frequency blur invariant concept.基于频率模糊不变概念的图像去卷积
ScientificWorldJournal. 2014;2014:951842. doi: 10.1155/2014/951842. Epub 2014 Aug 12.
7
A Unified Methodology for Computing Accurate Quaternion Color Moments and Moment Invariants.用于计算精确四元数颜色矩和矩不变量的统一方法。
IEEE Trans Image Process. 2014 Feb;23(2):596-611. doi: 10.1109/TIP.2013.2289997. Epub 2013 Nov 7.
8
Recognition of blurred images by the method of moments.基于矩方法的模糊图像识别。
IEEE Trans Image Process. 1996;5(3):533-8. doi: 10.1109/83.491327.
9
Improving the performance of image classification by Hahn moment invariants.利用哈恩矩不变量提高图像分类性能。
J Opt Soc Am A Opt Image Sci Vis. 2013 Nov 1;30(11):2381-94. doi: 10.1364/JOSAA.30.002381.
10
Image Analysis by Fractional-Order Gaussian-Hermite Moments.基于分数阶高斯-厄米特矩的图像分析
IEEE Trans Image Process. 2022;31:2488-2502. doi: 10.1109/TIP.2022.3156380. Epub 2022 Mar 18.

引用本文的文献

1
Image deconvolution by means of frequency blur invariant concept.基于频率模糊不变概念的图像去卷积
ScientificWorldJournal. 2014;2014:951842. doi: 10.1155/2014/951842. Epub 2014 Aug 12.

本文引用的文献

1
Recognitive aspects of moment invariants.矩不变量的识别方面。
IEEE Trans Pattern Anal Mach Intell. 1984 Jun;6(6):698-706. doi: 10.1109/tpami.1984.4767594.
2
Radial and angular moment invariants for image identification.图像识别的径角矩不变量。
IEEE Trans Pattern Anal Mach Intell. 1981 Feb;3(2):240-2. doi: 10.1109/tpami.1981.4767087.
3
Blurred image recognition by Legendre moment invariants.基于勒让德矩不变量的模糊图像识别。
IEEE Trans Image Process. 2010 Mar;19(3):596-611. doi: 10.1109/TIP.2009.2036702. Epub 2009 Nov 20.
4
Blur identification by residual spectral matching.残差谱匹配的模糊识别。
IEEE Trans Image Process. 1993;2(2):141-51. doi: 10.1109/83.217219.
5
Recognition of blurred images by the method of moments.基于矩方法的模糊图像识别。
IEEE Trans Image Process. 1996;5(3):533-8. doi: 10.1109/83.491327.
6
Space-variant restoration of images degraded by camera motion blur.相机运动模糊退化图像的空间可变恢复。
IEEE Trans Image Process. 2008 Feb;17(2):105-16. doi: 10.1109/TIP.2007.912928.
7
Accurate computation of Zernike moments in polar coordinates.极坐标下泽尼克矩的精确计算。
IEEE Trans Image Process. 2007 Feb;16(2):581-7. doi: 10.1109/tip.2006.888346.
8
Blind deconvolution using a variational approach to parameter, image, and blur estimation.使用变分方法进行参数、图像和模糊估计的盲反卷积。
IEEE Trans Image Process. 2006 Dec;15(12):3715-27. doi: 10.1109/tip.2006.881972.
9
General method to derive the relationship between two sets of Zernike coefficients corresponding to different aperture sizes.推导对应不同孔径尺寸的两组泽尼克系数之间关系的一般方法。
J Opt Soc Am A Opt Image Sci Vis. 2006 Aug;23(8):1960-6. doi: 10.1364/josaa.23.001960.
10
Recognition of motion-blurred images by use of the method of moments.利用矩量法识别运动模糊图像。
Appl Opt. 2002 Apr 10;41(11):2164-71. doi: 10.1364/ao.41.002164.

利用正交 Zernike 矩的相似变换和模糊综合不变量。

Combined invariants to similarity transformation and to blur using orthogonal Zernike moments.

机构信息

Laboratory of Image Science and Technology, School of Computer Science and Engineering, Southeast University, Nanjing, China.

出版信息

IEEE Trans Image Process. 2011 Feb;20(2):345-60. doi: 10.1109/TIP.2010.2062195. Epub 2010 Jul 29.

DOI:10.1109/TIP.2010.2062195
PMID:20679028
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3286441/
Abstract

The derivation of moment invariants has been extensively investigated in the past decades. In this paper, we construct a set of invariants derived from Zernike moments which is simultaneously invariant to similarity transformation and to convolution with circularly symmetric point spread function (PSF). Two main contributions are provided: the theoretical framework for deriving the Zernike moments of a blurred image and the way to construct the combined geometric-blur invariants. The performance of the proposed descriptors is evaluated with various PSFs and similarity transformations. The comparison of the proposed method with the existing ones is also provided in terms of pattern recognition accuracy, template matching and robustness to noise. Experimental results show that the proposed descriptors perform on the overall better.

摘要

在过去的几十年中，矩不变量的推导得到了广泛的研究。在本文中，我们构建了一组基于 Zernike 矩的不变量，这些不变量同时对相似变换和与圆形对称点扩散函数（PSF）的卷积保持不变。主要有两个贡献：推导模糊图像的 Zernike 矩的理论框架和构造组合几何-模糊不变量的方法。使用各种 PSF 和相似变换评估了所提出描述符的性能。从模式识别精度、模板匹配和对噪声的鲁棒性方面，还提供了与现有方法的比较。实验结果表明，所提出的描述符总体性能更好。