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: 1224
- HTML全文浏览量: 172
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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)

SHOR P W. Algorithms for quantum computation: Discrete logarithms and factoring[C]. Proceedings of 35th Annual Symposium Foundations of Computer Science, New York, 1994: 124-134.

GROVER L. A fast quantum mechanical algorithm for database search[C]. Proceedings of the 28th Annual ACM Symposium on the Theory of Computing, New York, 1996: 212-219.

HUA T X, CHEN J M, PEI DJ, et al. Quantum image encryption algorithm based on image correlation decomposition[J]. International Journal of Theoretical Physics, 2015, 54(2): 526-537. doi: 10.1007/s10773-014-2245-z.

ZHANG W W, GAO F, LIU B, et al. A quantum watermark protocol[J]. International Journal of Theoretical Physics, 2013, 52(2): 504-513. doi: 10.1007/s10773-012-1354-9.

ZHANG Y. Local feature point extraction for quantum images[J]. Quantum Information Processing, 2015, 14(5): 1573-1588. doi: 10.1007/s11128-014-0842-7.

LI H S, ZHU Q X, SONG L, et al. Image storage, retrieval, compression and segmentation in a quantum system[J]. Quantum Information Processing, 2013, 12(6): 2269-2290. doi: 10.1007/s11128-012-0521-5.

JIANG N, WU W Y, and WANG L. The quantum realization of Arnold and Fibonacci image scrambling[J]. Quantum Information Processing, 2014, 13(5): 1223-1236. doi: 10.1007 /s11128-013-0721-7.

JIANG N and WANG L. Analysis and improvement of the quantum Arnold image scrambling[J]. Quantum Information Processing, 2014, 13(7): 1545-1551. doi: 10.1007/s11128-014- 0749-3.

JIANG N, WANG L, and WU W Y. Quantum Hilbert image scrambling[J]. International Journal of Theoretical Physics, 2014, 53(7): 2463-2484. doi: 10.1007/s10773-014-2046-4.

JIANG N, WU W Y, and WANG L. Quantum image pseudo color coding based on the density-stratified method[J]. Quantum Information Processing, 2015, 14(5): 1735-1755. doi: 10.1007/s11128-015-0986-0.

JIANG N and WANGLE L. Quantum image scaling using nearest neighbor interpolation[J]. Quantum Information Processing, 2015, 14(5): 1559-1571. doi 10.1007/s11128-014- 0841-8.

ZHOU R G, TAN C Y, and HOU I. Global and local translation designs of quantum image based on FRQI[J]. International Journal of Theoretical Physics, 2017, 56(4): 1382-1398. doi: 10.1007/s10773-017-3279-9.

SIMONA C and VASILE I M. Quantum image filtering in the frequency domain[J]. Advances in Electrical Computer Engineering, 2013, 13(3): 77-84.

CARAIMAN S and MANTA V. Image processing using quantum computing[C]. The 16th International Conference on System Theory, Control and Computing (ICSTCC), Canberra, 2012: 1-6.

PHUC Q L, DONG F Y, and KAORU H. A flexible representation of quantum images for polynomial preparation, image compression and processing operations[J]. Quantum Information Processing, 2011, 10(1): 63-84. doi 10.1007/ s11128-010-0177-y.

SIMONA C. Image segmentation on a quantum computer[J]. Quantum Information Processing, 2015, 14(5): 1693-1715. doi: 10.1007/s11128-015-0932-1.

ZHANG Y, LU K, GAO Y H, et al. NEQR: A novel enhanced quantum representation of digital images[J]. Quantum Information Processing, 2013, 12(8): 2833-2860. doi: 10.1007 /s11128-013-0567-z.

RAFAEL C G and RICHARD E W. Digitai Image Processing (Third Edition)[M]. Pearson Education, Inc. 2010: 316-320.

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