一种基于投影的小波矩及其在图像识别中的应用

崔培玲; 潘泉; 李军宏; 张洪才; 程咏梅

一种基于投影的小波矩及其在图像识别中的应用

崔培玲^{①②;潘泉},
潘泉,
李军宏,
张洪才,
程咏梅

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出版历程
- 收稿日期: 2004-05-12
- 修回日期: 2005-05-18
- 刊出日期: 2005-11-19

Image Recognition Using a Projection-Based Wavelet Moment

摘要

摘要: 该文提出了一种基于图像投影的小波不变量算法。首先将图像投影到一维空间，然后引入一种平移和比例不变自适应一维小波变换，利用该变换获得图像的平移和比例不变特征。由于图像的旋转导致特征矩阵发生行之间的循环平移，该文利用奇异值分解进行研究，得到的奇异值向量具有图像的3个不变性。实验分析表明，本文方法具有较好的图像识别效果。
- 图像识别;投影;小波变换;不变量;奇异值分解
Abstract: In this paper, a new wavelet invariant moment based on image projections is proposed. Firstly, Radon transform is used to project the image to 1-D space. Then, a translation and scaling invariant adaptive 1-D wavelet transform is introduced, and the projection data is transformed to wavelet domain to get a feature matrix with translation and scaling invariance. Since the feature matrix is influenced to be cyclically shifted of rows when image rotates, Singular Value Decomposition (SVD) is employed and singular value vector is invariant under image translation, scaling and rotation. Simulation results are given to obtain insight into the efficiencies offered by this method.

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参考文献(1)

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