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基于四元数矩阵奇异值分解的彩色图像识别 被引量:4

The Recognition of Color Images Based on the Singular Value Decompositions of Quaternion Matrices
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摘要 本文首先以实验证明了彩色图像矩阵的奇异值(SVs)仅含有图像的少量信息,大量信体现在图像矩阵的奇异值分解(SVDQ)的两个四元数酉矩阵中。然后给出了一种新的图像特征提取方法。该方法将图像投影到SVDQ的各个正交基上,得到投影系数向量。将此向量作为图像的代数特征并用于彩色图像识别中。实验表明,与奇异值特征向量用于彩色图像识别方法相比,本文方法显著提高了识别率。 In this paper, with the experiment in color image databases, it is shown that the SVs contain little information of color image and most important information is contained in the two quaternion unitary matrices of SVDQ. So, a new feature extraction method for color image has been proposed. Firstly, the image is projected on to the orthogonal basis of SVDQ, then the projection coefficient vector is used as algebraic feature of image and applied to recognition. With the experiments for image recognition, it is shown that the recognition rate is increased compared to the method by the singular feature vector.
出处 《计算机科学》 CSCD 北大核心 2006年第7期227-229,共3页 Computer Science
基金 教育部"新世纪优秀人才支持计划"资助
关键词 彩色图像识别 四元数矩阵 奇异值分解 投影系数向量 Color image recognition,Quaternion matrix, Singular value decomposition,Projection coefficient vector
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  • 1王卿交.体上的矩阵方程AXA=B[J].数学杂志,1996,16(2):157-162. 被引量:3
  • 2[1]Evans C J. Sangwine S J. Ell T A. Hypercomplex colorsensitive smoothing filters [A]. In: Proceedings of IEEE International Conference on Image Processing[C], Vancouver,Canada, 2000: 541~544. 被引量:1
  • 3[2]Pei S C. Cheng C M. Color image processing by using binary quaternion moment-perserving thresholding technique[J]. IEEE Transactions on Imaging Processing, 1999, 8(5): 614~628. 被引量:1
  • 4[3]CaiC. Mitra S K. A normalized color difference edge detector based on quaternion representation[A]. In: Proceedings of IEEE International Conference on Image Processing[C], Vancouver,Canada, 2000: 816~819. 被引量:1
  • 5[4]Sangwine S J. Colour image edge detector based on quaternion convolution [J]. Electronic Letters, 1998, 34(10): 969~971. 被引量:1
  • 6[5]Sangwine S J. Fourier transforms of colour images using quaternion, or hypercomplex, numbers [J]. Electronic Letters,1996, 32(21):1979~1980. 被引量:1
  • 7[6]McCabe A. West G. Caelli T. Filter techniques for complex spatio-chromatic image processing[A]. In: Proceedings of IEEE International Conference on Image Processing [C], Chicago,Illinois, USA, 1998: 742~745. 被引量:1
  • 8[7]Dony R D. Wesolkowski S. Edge detection on color images using RGB vector angle [A]. In: Proceedings of IEEE Canadian Conference on Electrical & Computer Engineering [C],Edmonton, Canada, 1999: 289~292. 被引量:1
  • 9[8]Trahanias P. Venetsanopoulos A N. Color edge detection using vector statistics[J]. IEEE Transactions on Image Processing,1993, 2(4): 259~264. 被引量:1
  • 10[9]Hedley M. Yan H. Segmentation of color images using spatial and color space information[J]. Journal of Electronic Imaging,1992, 1(4) :374~380. 被引量:1

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