Automatic rotational symmetry determination for shape analysis☆
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Cited by (45)
Robust detectors of rotationally symmetric shapes based on novel semi-shape signatures
2023, Pattern RecognitionA noise-robust algorithm for classifying cyclic and dihedral symmetric images
2009, Chaos, Solitons and FractalsSkewed rotational symmetry detection from a 2D line drawing of a 3D polyhedral object
2006, CAD Computer Aided DesignCitation Excerpt :Furthermore, symmetry information is also useful in ‘beautifying’ the object recovered, so as to produce a properly dimensioned solid model that can be used in a CAD system [2]. Most research on symmetry has been concerned with mirror and rotational symmetry [3–7]. Our work on mirror symmetry has been published elsewhere [8].
Frequency domain classification of cyclic and dihedral symmetries of finite 2-D patterns
2004, Pattern RecognitionCitation Excerpt :For rotationally symmetric patterns, these two axes cannot be defined. Leou and Tsai [13] suggest a method for detecting the number of folds of a rotationally symmetric pattern based on counting the frequency with which its boundary intersects a circle related to the shape of the pattern. Chou et al. [14] advance a method for computing the fold principal axes (FPAs): a given shape is first transformed into a new shape for which the conventional principal axes can be defined and then these axes are converted back and associated with the original shape.
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This work was supported partially by ERSO, ITRI under Grant ITRI-MIST-85-C4.