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Symmetry
Volume 10
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10.3390/sym10110543
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Article

A Novel Aesthetic QR Code Algorithm Based on Hybrid Basis Vector Matrices

by
Jianfeng Lu
1,
Weiling Cheng
1,
Shanqing Zhang
1,
Li Li
1,*,
Zaorang Yang
1 and
Chin-Chen Chang
2
1
School of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou 310018, China
2
Department of Information Engineering and Computer Science, Feng Chia University, Taichung 40724, Taiwan
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(11), 543; https://doi.org/10.3390/sym10110543
Submission received: 21 September 2018 / Revised: 18 October 2018 / Accepted: 20 October 2018 / Published: 25 October 2018
(This article belongs to the Special Issue Symmetry in Computing Theory and Application)
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Abstract

Recently, more and more research has focused on the beautification technology of QR (Quick Response) codes. In this paper, a novel algorithm based on the XOR (exclusive OR) mechanism of hybrid basis vector matrices and a background image synthetic strategy is proposed. The hybrid basis vector matrices include the reverse basis vector matrix (RBVM) and positive basis vector matrix (PBVM). Firstly, the RBVM and PBVM are obtained by the Gauss–Jordan elimination method, according to the characteristics of the RS code. Secondly, the modification of the parity area of the QR code can be applied with the XOR operation of the RBVM, and the XOR operation of the PBVM is used to change the data area of the QR code. So, the QR code can be modified to be very close to the background image without impacting the error-correction ability. Finally, in order to further decrease the difference between the QR code and the background image, a new synthesis strategy is adopted in order to obtain a better aesthetic effect. The experimental results show that it obtains a better visual effect without the sacrificing recognition rate.
Keywords: QR code; XOR mechanism of RS code; hybrid basis vector matrices; synthesis strategy QR code; XOR mechanism of RS code; hybrid basis vector matrices; synthesis strategy

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MDPI and ACS Style

Lu, J.; Cheng, W.; Zhang, S.; Li, L.; Yang, Z.; Chang, C.-C. A Novel Aesthetic QR Code Algorithm Based on Hybrid Basis Vector Matrices. Symmetry 2018, 10, 543. https://doi.org/10.3390/sym10110543

AMA Style

Lu J, Cheng W, Zhang S, Li L, Yang Z, Chang C-C. A Novel Aesthetic QR Code Algorithm Based on Hybrid Basis Vector Matrices. Symmetry. 2018; 10(11):543. https://doi.org/10.3390/sym10110543

Chicago/Turabian Style

Lu, Jianfeng, Weiling Cheng, Shanqing Zhang, Li Li, Zaorang Yang, and Chin-Chen Chang. 2018. "A Novel Aesthetic QR Code Algorithm Based on Hybrid Basis Vector Matrices" Symmetry 10, no. 11: 543. https://doi.org/10.3390/sym10110543

APA Style

Lu, J., Cheng, W., Zhang, S., Li, L., Yang, Z., & Chang, C.-C. (2018). A Novel Aesthetic QR Code Algorithm Based on Hybrid Basis Vector Matrices. Symmetry, 10(11), 543. https://doi.org/10.3390/sym10110543

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