Design and Implementation of MQIR Image Scaling

• Published in: International journal of theoretical physics Vol. 61; no. 3
• Main Authors: Chen, Zigang, Pan, Ji, Yan, Yi, Zhu, Haihua
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.03.2022; Springer Nature B.V
• Subjects: Circuit design; Digital imaging; Elementary Particles; Image processing; Interpolation; Mathematical and Computational Physics; Physics; Physics and Astronomy; Quantum Field Theory; Quantum Physics; Qubits (quantum computing); Representations; Scaling; Theoretical; Quantum image scaling; Quantum image; Multimode quantum image representation; Nearest-neighbor interpolation
• ISSN: 0020-7748; 1572-9575
• DOI: 10.1007/s10773-022-05061-6

The digital image representation model directly affects the performance of digital image processing based on the representation model. Most quantum image representations which are based on traditional digital images, require a large number of qubits, or the complicated and difficult operations of quantum image processing. In this paper, we record the value and position of each bit in the binary sequence to form a multimode quantum image representation (MQIR) based on three-dimensional coordinates, which effectively reduces the number of qubits required to store the image. However, the basic operations for traditional digital images (such as scale operations) cannot be applied to MQIR image. To solve this problem, this paper proposes the nearest-neighbor interpolation scaling schemes for MQIR image, then we design and implement the quantum image scaling circuits. Finally, the complexity analysis and experimental simulation results of the scaling circuits for MQIR image are given. The simulation results verify the correctness of the image scaling schemes and circuits for MQIR image.