College of Information Engineering, Shanghai Maritime University, Shanghai, 201306, China.
School of Information Engineering, East China Jiaotong University, Nanchang, Jiangxi, 330013, China.
Sci Rep. 2017 May 31;7(1):2511. doi: 10.1038/s41598-017-02575-6.
In recent years, quantum image processing is one of the most active fields in quantum computation and quantum information. Image scaling as a kind of image geometric transformation has been widely studied and applied in the classical image processing, however, the quantum version of which does not exist. This paper is concerned with the feasibility of the classical bilinear interpolation based on novel enhanced quantum image representation (NEQR). Firstly, the feasibility of the bilinear interpolation for NEQR is proven. Then the concrete quantum circuits of the bilinear interpolation including scaling up and scaling down for NEQR are given by using the multiply Control-Not operation, special adding one operation, the reverse parallel adder, parallel subtractor, multiplier and division operations. Finally, the complexity analysis of the quantum network circuit based on the basic quantum gates is deduced. Simulation result shows that the scaled-up image using bilinear interpolation is clearer and less distorted than nearest interpolation.
近年来，量子图像处理是量子计算和量子信息中最活跃的领域之一。图像缩放作为一种图像几何变换，在经典图像处理中得到了广泛的研究和应用，然而，其量子版本并不存在。本文研究了基于新型增强量子图像表示（NEQR）的经典双线性插值的可行性。首先，证明了 NEQR 上的双线性插值的可行性。然后，通过使用乘法控制非门操作、特殊加一操作、逆并行加法器、并行减法器、乘法器和除法器，给出了 NEQR 上的双线性插值的具体量子电路，包括放大和缩小。最后，基于基本量子门的量子网络电路的复杂度分析被推导出来。仿真结果表明，使用双线性插值放大后的图像比最近邻插值更清晰、失真更小。
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