scholarly journals A computational model for periodic pattern perception based on frieze and wallpaper groups

Author(s):  
Yanxi Liu ◽  
R.T. Collins ◽  
Y. Tsin
2017 ◽  
Author(s):  
Jeremy Cole ◽  
David Reitter ◽  
Yanxi Liu

Most literature on symmetry perception has focused on bilateralreflection symmetry with some suggesting that it isthe only type of symmetry humans can perceive (Wilson &Wilkinson, 2002). Using image stimuli generated from themathematically well-defined seventeen wallpaper groups, thisstudy demonstrates that humans can discriminate various symmetriesfound in 2D wallpaper patterns (Liu, Hel-Or, Kaplan,Van Gool, et al., 2010). Furthermore, the results demonstratethe features which contribute to wallpaper pattern perception.All wallpaper groups but one were found to be reliably distinguishable(p < 0:05). Additionally, as wallpaper patterns canbe arranged in a hierarchy, we propose a metric to quantify thesimilarity of their perception using the shortest path in this hierarchy.This subgroup distance was found to be a factor in alikely model of pattern perception.


Author(s):  
Paul Van Den Broek ◽  
Yuhtsuen Tzeng ◽  
Sandy Virtue ◽  
Tracy Linderholm ◽  
Michael E. Young

1992 ◽  
Author(s):  
William A. Johnston ◽  
Kevin J. Hawley ◽  
James M. Farnham
Keyword(s):  

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