On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry analysis of line drawings using the Hough transform
Pattern Recognition Letters
Intensity and edge-based symmetry detection with an application to car-following
CVGIP: Image Understanding
Detecting Symmetry in Grey Level Images: The Global Optimization Approach
International Journal of Computer Vision
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Reflective Symmetry Descriptor
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
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Measures and functionals of global asymmetry of noisy and noise-free images are axiomatically introduced. Explicit expressions are obtained that make these functionals applicable for determining the symmetry axes of noisy images. It is shown that some asymmetry functionals are unstable against noise levels of images; i.e., the symmetry axis obtained using these functionals may deviate significantly if the signal-to-noise ratio is large. Sufficient and necessary conditions are obtained under which the symmetry axes calculated using asymmetry functionals remain unchanged.