scholarly journals Robustness of Reflection Symmetry Detection Methods on Visual Stresses in Human Perception Perspective

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 63712-63725 ◽  
Author(s):  
Ibragim R. Atadjanov ◽  
Seungkyu Lee
Perception ◽  
1997 ◽  
Vol 26 (7) ◽  
pp. 891-904 ◽  
Author(s):  
Peter Wenderoth

Palmer and Hemenway (1978 Journal of Experimental Psychology: Human Perception and Performance4 691–702) reported that shapes with multiple axes of symmetry are processed faster than those with single symmetry even when trials are blocked so that the subject knows that any symmetry axis will be vertical. Because their model of symmetry detection postulated a two-stage process in which all orientations are searched crudely at first, in no particular order, followed by second-stage scrutiny, the continued salience of multiple over single symmetry with blocking could not be explained. They claimed that stimuli with multiple axes of symmetry have an additional ‘goodness’. Four experiments are reported in which it is demonstrated that both sensitivity ( d′) and response bias ( β) vary considerably in symmetry detection, not just as a function of the positive (symmetrical) stimuli used but also as a function of the negative or conjugate instances selected. Although stimuli with multiple axes of symmetry may well have extra salience due to pattern ‘goodness’, this factor may have been confounded with response bias in Palmer and Hemenway's experiments. It is suggested that several of their—as well as other researchers—results could be due to some combination of the effects of type of positive stimulus, type of negative stimulus, and response bias directed towards responding positively to highly symmetrical stimuli in a mix of less symmetrical stimuli. Palmer and Hemenway appear to have been correct in suggesting that subjects are more sensitive to quadruple than single symmetry, but the experiments indicate that subjects are also more willing to respond “symmetrical” to stimuli with quadruple symmetry when trials are not blocked, as in Palmer and Hemenway's experiment 1. However, it is demonstrated that the latter effect can be removed by blocking trials so that only one class of symmetrical pattern and one class of asymmetrical pattern occur in any block.


2015 ◽  
Vol 24 (4) ◽  
pp. 1297-1301 ◽  
Author(s):  
Zhaozhong Wang ◽  
Zesheng Tang ◽  
Xiao Zhang

2019 ◽  
Author(s):  
Antoniya A. Aleksandrova ◽  
Edoardo Sarti ◽  
Lucy R. Forrest

AbstractIn membrane proteins, symmetry and pseudo-symmetry often have functional or evolutionary implications. However, available symmetry detection methods have not been tested systematically on this class of proteins due to the lack of an appropriate benchmark set. Here we present MemSTATS, a publicly-available benchmark set of both quaternary and internal symmetries in membrane protein structures described in terms of order, repeated elements, and orientation of the axis with respect to the membrane plane. Moreover, using MemSTATS, we compare the performance of four widely-used symmetry detection algorithms and highlight specific challenges and areas for improvement in the future.


Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2011
Author(s):  
Ting On Chan ◽  
Yeran Sun ◽  
Jiayong Yu ◽  
Juan Zeng ◽  
Lixin Liu

The Chinese paifang is an essential constituent element for Chinese or many other oriental architectures. In this paper, a new method for detection and analysis of the reflection symmetry of the paifang based on 3D point clouds is proposed. The method invokes a new model to simultaneously fit two vertical planes of symmetry to the 3D point cloud of a paifang to support further symmetry analysis. Several simulated datasets were used to verify the proposed method. The results indicated that the proposed method was able to quantity the symmetry of a paifang in terms of the RMSE obtained from the ICP algorithm, with resistance to the presence of some random noise added to the simulated measurements. For real datasets, three old Chinese paifangs (with ages from 90 to 500 years) were scanned as point clouds to input into the proposed method. The method quantified the degree of symmetry for the three Chinese paifangs in terms of the RMSE, which ranged from 20 to 61 mm. One of the paifangs with apparent asymmetry had the highest RMSE (61 mm). Other than the quantification of the symmetry of the paifangs, the proposed method could also locate which portion of the paifang was relatively more symmetric. The proposed method can potentially be used for structural health inspection and cultural studies of the Chinese paifangs and some other similar architecture.


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