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2D Sudoku associated bijections for image scrambling
Wu Y.2; Zhou Y.1; Agaian S.3; Noonan J.P.2
Source PublicationInformation Sciences

Sudoku refers to a two-dimensional (2D) number-placement puzzle with simple constraints that there are no repeated digits in each row, each column, or each block. Motivated by this Sudoku configuration, we introduce a number of Sudoku associated matrix element representations besides the conventional representation using matrix row-column pair. Specifically, they are representations via Sudoku matrix row-digit pair, digit-row pair, column-digit pair, digit-column pair, block-digit pair, and digit-block pair. This means we can secretly represent matrix elements via a Sudoku matrix, and furthermore develop new Sudoku associated 2D parametric bijections. To demonstrate the effectiveness and randomness of bijections, we introduce a simple but effective Sudoku Associated Image Scrambler only using 2D Sudoku associated bijections for image scrambling without bandwidth expansion. Simulations and comparisons demonstrate that the proposed method outperforms several state-of-the-art methods.

KeywordImage Scrambling Matrix Element Representation Sudoku Matrix Two Dimensional Bijection
URLView the original
Indexed BySCI
WOS Research AreaComputer Science
WOS SubjectComputer Science, Information Systems
WOS IDWOS:000364252900006
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Cited Times [WOS]:11   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
Affiliation1.Universidade de Macau
2.Tufts University
3.University of Texas at San Antonio
Recommended Citation
GB/T 7714
Wu Y.,Zhou Y.,Agaian S.,et al. 2D Sudoku associated bijections for image scrambling[J]. Information Sciences,2016,327:91-109.
APA Wu Y.,Zhou Y.,Agaian S.,&Noonan J.P..(2016).2D Sudoku associated bijections for image scrambling.Information Sciences,327,91-109.
MLA Wu Y.,et al."2D Sudoku associated bijections for image scrambling".Information Sciences 327(2016):91-109.
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