Using symmetry for detecting and locating objects in a picture
Computer Vision, Graphics, and Image Processing
On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
On characterizing ribbons and finding skewed symmetries
Computer Vision, Graphics, and Image Processing
Detection of generalized principal axes is rotationally symmetric shapes
Pattern Recognition
Fold principal axis—a new tool for defining the orientations of rotationally symmetric shapes
Pattern Recognition Letters
Intensity and edge-based symmetry detection with an application to car-following
CVGIP: Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Detecting number of folds by a simple mathematical property
Pattern Recognition Letters
Symmetry detection using gradient information
Pattern Recognition Letters
3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalized Affine Invariant Image Normalization
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
Content-based trademark recognition and retrieval based on discrete synergetic neural network
Distributed multimedia databases
A Reflective Symmetry Descriptor
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Symmetry Detection Using Global-Locally Coupled Maps
ICANN '02 Proceedings of the International Conference on Artificial Neural Networks
A Technique for Finding the Symmetry Axes of Implicit Polynomial Curves under Perspective Projection
IEEE Transactions on Pattern Analysis and Machine Intelligence
The S-kernel: A measure of symmetry of objects
Pattern Recognition
Notes on shape orientation where the standard method does not work
Pattern Recognition
Folding meshes: hierarchical mesh segmentation based on planar symmetry
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Boundary based shape orientation
Pattern Recognition
Detecting approximate symmetries of discrete point subsets
Computer-Aided Design
Boundary based shape orientation
Pattern Recognition
Islamic geometrical patterns indexing and classification using discrete symmetry groups
Journal on Computing and Cultural Heritage (JOCCH)
Consensus Graphs for Symmetry Plane Estimation
SSPR & SPR '08 Proceedings of the 2008 Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
A new possibility for pattern recognition independently from geometrical measuresetrical measures
ICOSSSE'08 Proceedings of the 7th WSEAS international conference on System science and simulation in engineering
A Hu moment invariant as a shape circularity measure
Pattern Recognition
A unifying approach to moment-based shape orientation and symmetry classification
IEEE Transactions on Image Processing
Analysis tool for cataloguing textile and tile pattern designs
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
Curvature weighted gradient based shape orientation
Pattern Recognition
Principal moments for efficient representation of 2D shape
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Moment invariants for recognizing symmetric objects
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
On shape orientation when the standard method does not work
CIARP'05 Proceedings of the 10th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis and Applications
A computational model for pattern and tile designs classification using plane symmetry groups
CIARP'05 Proceedings of the 10th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis and Applications
S_Kernel: a new symmetry measure
PReMI'05 Proceedings of the First international conference on Pattern Recognition and Machine Intelligence
Shape matching based on fully automatic face detection on triangular meshes
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Affine invariant feature extraction using symmetry
ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
The s-kernel and a symmetry measure based on correlation
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
ICIAP'05 Proceedings of the 13th international conference on Image Analysis and Processing
Boundary based orientation of polygonal shapes
PSIVT'06 Proceedings of the First Pacific Rim conference on Advances in Image and Video Technology
Tensor based sparse decomposition of 3D shape for visual detection of mirror symmetry
Computer Methods and Programs in Biomedicine
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This paper presents a unified method for detecting both reflection-symmetry and rotation-symmetry of 2D images based on an identical set of features, i.e., the first three nonzero generalized complex (GC) moments. This method is theoretically guaranteed to detect all the axes of symmetries of every 2D image, if more nonzero GC moments are used in the feature set. Furthermore, we establish the relationship between reflectional symmetry and rotational symmetry in an image, which can be used to check the correctness of symmetry detection. This method has been demonstrated experimentally using more than 200 images.