量子彩色图像的频域滤波

李盼池; 孙昊

doi:10.11999/JEIT170575

量子彩色图像的频域滤波

doi: 10.11999/JEIT170575

李盼池¹,
孙昊¹

基金项目:

黑龙江省自然科学基金(F2015021)

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- 文章访问数: 1194
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- 被引次数: 0
出版历程
- 收稿日期: 2017-06-14
- 修回日期: 2017-11-15
- 刊出日期: 2018-03-19

Quantum Color Image Filtering in the Frequency Domain

LI Panchi¹,
SUN Hao¹

Funds:

The Natural Science Foundation of Heilongjiang Province (F2015021)

摘要

摘要: 为解决量子彩色图像滤波问题，该文提出一种基于量子傅里叶变换的频域滤波方法。首先采用新颖的增强量子描述(NEQR)方案将彩色图像描述为量子图像，然后对该量子图像实施傅里叶变换，采用基于滤波函数定义的量子Oracle将变换后的图像划分为不同频率的图像，最后通过逆量子傅里叶变换将这些不同频率的量子图像变换到空域，通过对空域量子图像实施测量即可得到不同频率的经典滤波图像。文中给出了具体的量子滤波线路，以彩色图像平滑、锐化、周期噪声消除为例，验证了提出方案的正确性。
- 量子图像处理 /
- 量子图像滤波 /
- 量子傅里叶变换 /
- 量子滤波器设计
Abstract: To solve the problem of quantum color image filtering, this paper proposes a frequency domain filtering method based on Quantum Fourier Transform (QFT). Firstly, the classical color image is represented as a quantum image by Novel Enhanced Quantum Representation (NEQR) scheme, then the QFT is applied to the quantum image, and the transformed image is divided into different frequency images using quantum Oracle defined according to filter function. Finally, these quantum images of different frequencies are transformed into spatial domain by Inverter Quantum Fourier Transform (IQFT). Through the measurement, different frequency filtering images can be obtained. In this paper, a specific quantum filter circuit is given, and the correctness of the proposed scheme is verified by taking the color image smoothing, sharpening and periodic noise elimination as an example.
- Quantum image processing /
- Quantum image filtering /
- Quantum Fourier Transform (QFT) /
- Quantum filter designing

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参考文献(18)

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