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量子彩色圖像的頻域濾波

李盼池,  孫昊

李盼池, 孫昊. 量子彩色圖像的頻域濾波[J]. 電子與信息學(xué)報, 2018, 40(3): 594-601. doi: 10.11999/JEIT170575
引用本文: 李盼池, 孫昊. 量子彩色圖像的頻域濾波[J]. 電子與信息學(xué)報, 2018, 40(3): 594-601. doi: 10.11999/JEIT170575
LI Panchi, SUN Hao. Quantum Color Image Filtering in the Frequency Domain[J]. Journal of Electronics & Information Technology, 2018, 40(3): 594-601. doi: 10.11999/JEIT170575
Citation: LI Panchi, SUN Hao. Quantum Color Image Filtering in the Frequency Domain[J]. Journal of Electronics & Information Technology, 2018, 40(3): 594-601. doi: 10.11999/JEIT170575

量子彩色圖像的頻域濾波

doi: 10.11999/JEIT170575
基金項目: 

黑龍江省自然科學(xué)基金(F2015021)

Quantum Color Image Filtering in the Frequency Domain

Funds: 

The Natural Science Foundation of Heilongjiang Province (F2015021)

  • 摘要: 為解決量子彩色圖像濾波問題，該文提出一種基于量子傅里葉變換的頻域濾波方法。首先采用新穎的增強(qiáng)量子描述(NEQR)方案將彩色圖像描述為量子圖像，然后對該量子圖像實(shí)施傅里葉變換，采用基于濾波函數(shù)定義的量子Oracle將變換后的圖像劃分為不同頻率的圖像，最后通過逆量子傅里葉變換將這些不同頻率的量子圖像變換到空域，通過對空域量子圖像實(shí)施測量即可得到不同頻率的經(jīng)典濾波圖像。文中給出了具體的量子濾波線路，以彩色圖像平滑、銳化、周期噪聲消除為例，驗證了提出方案的正確性。
    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.
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出版歷程
  • 收稿日期:  2017-06-14
  • 修回日期:  2017-11-15
  • 刊出日期:  2018-03-19

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