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Quantum color image scaling based on bilinear interpolation |
| Chao Gao(高超)1,2, Ri-Gui Zhou(周日贵)1,2,†, and Xin Li(李鑫)1,2 |
1 College of Information Engineering, Shanghai Maritime University, Shanghai 201306, China;
2 Research Center of Intelligent Information Processing and Quantum Intelligent Computing, Shanghai 201306, China |
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Abstract As a part of quantum image processing, quantum image scaling is a significant technology for the development of quantum computation. At present, most of the quantum image scaling schemes are based on grayscale images, with relatively little processing for color images. This paper proposes a quantum color image scaling scheme based on bilinear interpolation, which realizes the $2^{n_{1}}\times 2^{n_{2}}$ quantum color image scaling. Firstly, the improved novel quantum representation of color digital images (INCQI) is employed to represent a $2^{n_{1}}\times 2^{n_{2}}$ quantum color image, and the bilinear interpolation method for calculating pixel values of the interpolated image is presented. Then the quantum color image scaling-up and scaling-down circuits are designed by utilizing a series of quantum modules, and the complexity of the circuits is analyzed. Finally, the experimental simulation results of MATLAB based on the classical computer are given. The ultimate results demonstrate that the complexities of the scaling-up and scaling-down schemes are quadratic and linear, respectively, which are much lower than the cubic function and exponential function of other bilinear interpolation schemes.
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Received: 12 May 2022
Revised: 14 August 2022
Accepted manuscript online: 05 September 2022
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PACS:
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03.67.-a
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(Quantum information)
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03.67.Ac
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(Quantum algorithms, protocols, and simulations)
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03.67.Lx
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(Quantum computation architectures and implementations)
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07.05.Pj
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(Image processing)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 6217070290) and Shanghai Science and Technology Project (Grant Nos. 21JC1402800 and 20040501500). |
Corresponding Authors:
Ri-Gui Zhou
E-mail: rgzhou@shmtu.edu.cn
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Cite this article:
Chao Gao(高超), Ri-Gui Zhou(周日贵), and Xin Li(李鑫) Quantum color image scaling based on bilinear interpolation 2023 Chin. Phys. B 32 050303
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