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Describing and Matching 2D Shapes by Their Points of Mutual Symmetry [chapter]

Arjan Kuijper, Ole Fogh Olsen
2006 Lecture Notes in Computer Science  
A novel shape descriptor is introduced. It groups pairs of points that share a geometrical property that is based on their mutual symmetry.  ...  This diagram is a fingerprint of global symmetry between pairs of points along the shape.  ...  Introduction One method to describe 2D objects is by their outlines, or shapes. The complicated task of comparing objects then changes to comparing shapes.  ... 
doi:10.1007/11744078_17 fatcat:b65cjw3xpzbz3oltbvqk5smr54

Finding Mirror Symmetry via Registration and Optimal Symmetric Pairwise Assignment of Curves: Algorithm and Results

Marcelo Cicconet, David G. C. Hildebrand, Hunter Elliott
2017 2017 IEEE International Conference on Computer Vision Workshops (ICCVW)  
We further demonstrate the generality of MSR by testing it on a database of 3D shapes with an iterative closest point registration back-end.  ...  To support MSR, we also introduce a novel 2D registration method based on random sample consensus of an ensemble of normalized cross-correlation matches.  ...  Figure 2 . 2 Images: Sample of MSR results for 2D images from the NYU Symmetry database. Point Clouds: Sample of MSR results for 3D shapes from the McGill 3D Shape Benchmark [34].  ... 
doi:10.1109/iccvw.2017.207 dblp:conf/iccvw/CicconetHE17a fatcat:qhslnytg4rcnpj3uievltyw2ci

Finding Mirror Symmetry via Registration [article]

Marcelo Cicconet, David G. C. Hildebrand, Hunter Elliott
2017 arXiv   pre-print
We further demonstrate the generality of MSR by testing it on a database of 3D shapes with an iterative closest point registration back-end.  ...  To support MSR, we also introduce a novel 2D registration method based on random sample consensus of an ensemble of normalized cross-correlation matches.  ...  [14] : Achieved symmetry plane detection by generating a candidate plane based on a matching pair of sample views and then verifying whether the number of remaining matching pairs fell within a preset  ... 
arXiv:1611.05971v2 fatcat:5n7ar63ktbeuze7fs2vqwixble

Feature-based correspondence: an eigenvector approach

Larry S Shapiro, J Michael Brady
1992 Image and Vision Computing  
We propose a novel method for performing point-.feature correspondence based on a modal shape description.  ...  Introducing shape information into a low-level matching proc'ess allows our algorithm to cope easily with rotutions and translutions in the image plane, yet still give a dense correspondence.  ...  LSS is supported by an ORS Award (UK) and by a Foundation for Research Development Scholarship (RSA).  ... 
doi:10.1016/0262-8856(92)90043-3 fatcat:wr7itc2dmnaqjbrkoyk3rh3pim

The Influence of a Network's Spatial Symmetry, Topological Dimension, and Density on Its Percolation Threshold

Dmitry O. Zhukov, Elena G. Andrianova, Sergey A. Lesko
2019 Symmetry  
It is observed that in 2D or 3D networks, which can be mutually transformed by deformation without breaking and forming new links, symmetry of similarity is observed, and the networks have the same percolation  ...  Regardless of the type of networks and their symmetry, transition from 2D to 3D structures engenders a change of percolation threshold by a value exp{−(d − 1)} that is invariant for transition between  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/sym11070920 fatcat:7ztyfjxamraiphoevwv2gg7cje

A probabilistic framework for partial intrinsic symmetries in geometric data

Ruxandra Lasowski, Art Tevs, Hans-Peter Seidel, Michael Wand
2009 2009 IEEE 12th International Conference on Computer Vision  
distribution over all possible intrinsic matches of a shape to itself, which reveals the symmetry structure of the object.  ...  Unlike previous work, our algorithm is based on a conceptually simple and straightforward probabilistic formulation of partial shape matching: based on a Markov random field model, we obtain a probability  ...  Their approach requires well identifiable feature points and does not support multiple partial symmetric matches within a shape.  ... 
doi:10.1109/iccv.2009.5459356 dblp:conf/iccv/LasowskiTSW09 fatcat:kicguwr42jd75jb3sthv2heutq

Arthrodial Joint Markerless Cross-Parameterization and Biomechanical Visualization

G. Elisabeta Marai, Cindy M. Grimm, David H. Laidlaw
2007 IEEE Transactions on Visualization and Computer Graphics  
Results demonstrate the technique useful in the study of normal and injured anatomy and kinematics of arthrodial joints.  ...  Orthopedists invest significant amounts of effort and time trying to understand the biomechanics of arthrodial (gliding) joints.  ...  Akelman, Jane Casey, Ted Trafton, and J. Hughes for extremely useful conversations and feedback. We also thank NSF CCR-0093238 and 049856 and NIH AR44005 for their support.  ... 
doi:10.1109/tvcg.2007.1063 pmid:17622690 fatcat:ddcabdvb2bbxjhqo2e65c7uety

SymmSketch: Creating symmetric 3D free-form shapes from 2D sketches

Yongwei Miao, Feixia Hu, Xudong Zhang, Jiazhou Chen, Renato Pajarola
2015 Computational Visual Media  
The reconstruction task usually separates a 3D symmetric shape into two types of shape components, that is, the self-symmetric shape component and the mutual-symmetric shape components.  ...  The z-depth information of the hand-drawn input sketches can be calculated using their property of mirror symmetry to generate 3D construction curves.  ...  The 3D models are courtesy of the Aim@Shape, Stanford University and Princeton University.  ... 
doi:10.1007/s41095-015-0002-8 fatcat:wtya3drf25dmbdu2wrd2wvlw5a

Symmetry of "Twins"

Vladan Nikolić, Ljiljana Radović, Biserka Marković
2015 Symmetry  
The idea of construction of twin buildings is as old as architecture itself, and yet there is hardly any study emphasizing their specificity.  ...  We start analyzing a pair of twin buildings with projection of the architectural composition elements in 2D picture plane (plane of the composition) and we distinguish four 2D keyframe cases based on the  ...  Acknowledgments The authors express their gratitude to the Ministry of Science and Technological Development of Serbia for providing partial support for this project (Grant No. 174012, Grant No. 33051  ... 
doi:10.3390/sym7010164 fatcat:z5vfgufmdnfazhhyohq2bodjci

Perceptual grouping of circular arcs under projection

P. L. Rosin, G. A. W. West
1990 Procedings of the British Machine Vision Conference 1990  
Theories and techniques of shape constancy and shape from contour often assert that ellipses seen in an image are the 2D projection of 3D circles from the scene.  ...  Given this assumption, several methods for grouping ellipses are described. From these perceptual groups inferences about the 3D structure of their generating circles are made.  ...  Marr [11] grouped elements of his primal sketch using perceptual groupings. Kanade [9] used parallelism and skewed symmetry to help interpret 2D shapes as 3D objects.  ... 
doi:10.5244/c.4.67 dblp:conf/bmvc/RosinW90 fatcat:73qddzheengnnhppxmxym37mhm

A Step-by-Step Guide for Geometric Morphometrics of Floral Symmetry

Yoland Savriama
2018 Frontiers in Plant Science  
This paper provides a step-by-step guide for the morphological analysis of corolla and the decomposition of corolla shape variation into its symmetric and asymmetric components.  ...  Here, I describe a general landmark-based geometric morphometric framework for the full statistical shape analysis of corolla and exemplify its use with four fully worked out case studies including tissue  ...  I sincerely thank the reviewers for their in-depth feedback and suggestions that greatly improve the clarity and quality of this paper.  ... 
doi:10.3389/fpls.2018.01433 pmid:30364116 pmcid:PMC6191499 fatcat:vsctlbuvjfccbnsim6eb4fp2va

Multi-scale partial intrinsic symmetry detection

Kai Xu, Hao Zhang, Wei Jiang, Ramsay Dyer, Zhiquan Cheng, Ligang Liu, Baoquan Chen
2012 ACM Transactions on Graphics  
Abstract We present an algorithm for multi-scale partial intrinsic symmetry detection over 2D and 3D shapes, where the scale of a symmetric region is defined by intrinsic distances between symmetric points  ...  To identify prominent symmetric regions which overlap and vary in form and scale, we decouple scale extraction and symmetry extraction by performing two levels of clustering.  ...  Part of the 3D models in this paper is from the shape repositories of AIM@SHAPE and Stanford.  ... 
doi:10.1145/2366145.2366200 fatcat:2drjl6lc45aojd6vs5m5hubmku

Edit propagation using geometric relationship functions

Paul Guerrero, Stefan Jeschke, Michael Wimmer, Peter Wonka
2014 ACM Transactions on Graphics  
We demonstrate populating 2D layouts with tens to hundreds of objects by propagating relatively few edit operations.  ...  The level sets of the relationship functions describe points with the same relationship to a polygon.  ...  ACKNOWLEDGMENTS We would like to thank Jyh-Ming Lien and Evan Behar for making the source code of their method to compute Minkowski Sums available to us and Dirk Jan-Kroon for releasing his code for shape  ... 
doi:10.1145/2591010 fatcat:czmmdv5ukvhapecdrsiq7zjwjq

Relating shapes via geometric symmetries and regularities

Art Tevs, Qixing Huang, Michael Wand, Hans-Peter Seidel, Leonidas Guibas
2014 ACM Transactions on Graphics  
We propose a new method based on the observation that symmetry and regularity in shapes is often associated with their function.  ...  Hence, they provide cues for matching related geometry even under strong shape variations. Correspondingly, we decomposes shapes into overlapping regions determined by their regularity properties.  ...  This work has been supported by NSF grants FODAVA 808515 and DMS 1228304, a Google research award, the Max Plack Center for Visual Computing and Communications, and the Cluster of Excellence "Multimodal  ... 
doi:10.1145/2601097.2601220 fatcat:ghiabnvttbfpbpvblabbujmftq

GEOMETRICAL CORRELATION AND MATCHING OF 2D IMAGE SHAPES

Y. V. Vizilter, S. Y. Zheltov
2012 ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
In this framework images are considered as piecewise-constant 2D functions, tessellation of image frame by the set of non-intersected connected regions determines the "shape" of image and the projection  ...  Many practical applications require image matching "just by shape" with no dependence on the concrete intensity or color values.  ...  Proposed MSEMCC and MSCMCC measures are very close to mutual information by matching characteristics and shape of correlation field.  ... 
doi:10.5194/isprsannals-i-3-191-2012 fatcat:c7wjj32mjrgjvpvk3ohfgzbaoi
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