A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Extracting periodicity of a regular texture based on autocorrelation functions
Pattern Recognition Letters
Symmetry Detection by Generalized Complex (GC) Moments: A Close-Form Solution
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Hough transform technique for the detection of parallel projected rotational symmetry
Pattern Recognition Letters
Robust Classification for Imprecise Environments
Machine Learning
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Intensity and Edge-Based Symmetry Detection Applied to Car-Following
ECCV '92 Proceedings of the Second European Conference on Computer Vision
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Fast Selective Detection of Rotational Symmetries Using Normalized Inhibition
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Noncombinatorial Detection of Regular Repetitions under Perspective Skew
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry Maps of Free-Form Curve Segments via Wave Propagation
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Geometric Segmentation of Perspective Images Based on Symmetry Groups
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Near-regular texture analysis and manipulation
ACM SIGGRAPH 2004 Papers
An Algebraic Approach to Symmetry Detection
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 3 - Volume 03
A Technique for Finding the Symmetry Axes of Implicit Polynomial Curves under Perspective Projection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Detecting Rotational Symmetries
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Detecting Bilateral Symmetry in Perspective
CVPRW '06 Proceedings of the 2006 Conference on Computer Vision and Pattern Recognition Workshop
Detecting Rotational Symmetry Under Affine Projection
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 02
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Genetic Fourier descriptor for the detection of rotational symmetry
Image and Vision Computing
Deformed Lattice Detection in Real-World Images Using Mean-Shift Belief Propagation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition
Efficient symmetry detection using local affine frames
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Skewed Rotation Symmetry Group Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Irregular Shape Symmetry Analysis: Theory and Application to Quantitative Galaxy Classification
IEEE Transactions on Pattern Analysis and Machine Intelligence
Translation-symmetry-based perceptual grouping with applications to urban scenes
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
Using diagonals of orthogonal projection matrices for affine invariant contour matching
Image and Vision Computing
Curved Glide-Reflection Symmetry Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Detecting symmetry and symmetric constellations of features
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Discovering texture regularity as a higher-order correspondence problem
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Translation symmetry detection in a fronto-parallel view
CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
Symmetric piecewise planar object reconstruction from a single image
CVPR '11 Proceedings of the 2011 IEEE Conference on Computer Vision and Pattern Recognition
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Symmetry detection is significant for object detection and recognition since symmetries are salient cues for distinguishing geometrical structures from cluttered backgrounds. This paper proposes a unified framework to detect rotation, reflection and translation symmetries simultaneously on unsegmented real-world images. The detection is performed based on affine invariant contour features, and is applicable under skewed imaging with distortions. Contours on a natural image are first matched to each other to find affine invariant matching pairs, which are then classified into three groups using a sign change criterion corresponding to the three types of symmetries. The three groups are used to vote for the corresponding symmetries: the voting for rotation utilizes a scheme of short line segments; the voting for reflection is based on a parameterization of axis equation, and the voting for translation uses a cascade-like approach. Experimental results of real-world images are provided with quantitative evaluations, validating that the proposed framework achieves desired performance.