Invariant quaternion radial harmonic Fourier moments for color image retrieval

Invariant quaternion radial harmonic Fourier moments for color image retrieval
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彩色图像检索的不变四元数径向调和傅立叶矩

DOI:
10.1016/j.optlastec.2014.07.020
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发表时间:
2015-03
影响因子:
5
通讯作者:
Yang hongying
Yang hongying
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Wang xiangyang;Li weiyi;Yang hongying

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矩和不变矩由于其良好的图像描述能力和不变性,已经成为图像处理的有力工具。但是,传统的方法主要用于处理二值或灰度图像,而这些方法对彩色图像的描述能力较差。在径向调和傅立叶矩和四元数的基础上,提出了一种用于彩色图像表示的四元数径向调和傅立叶矩,它可以看作是灰度图像径向调和傅立叶矩的推广。结果表明,QRHFM可以从每个颜色通道的RHFM获得。我们推导并分析了QRFFM的旋转、缩放和平移(RST)不变性。我们还讨论了使用不变QRHFM的彩色图像检索问题。实验结果表明,所提出的彩色图像表示的效率。
Moments and moment invariants have become a powerful tool in image processing owing to their image description capability and invariance property. But, conventional methods are mainly introduced to deal with the binary or gray-scale images, and the only approaches for color image always have poor color image description capability. Based on radial harmonic Fourier moments (RHFMs) and quaternion, we introduced the quaternion radial harmonic Fourier moments (QRHFMs) for representing color images in this paper, which can be seen as the generalization of RHFMs for gray-level images. It is shown that the QRHFMs can be obtained from the RHFMs of each color channel. We derived and analyzed the rotation, scaling, and translation (RST) invariant property of QRHFMs. We also discussed the problem of color image retrieval using invariant QRHFMs. Experimental results are provided to illustrate the efficiency of the proposed color image representation.
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