3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast reflectional symmetry detection using orientation histograms
Real-Time Imaging - Special issue on real-time defect detection
Symmetry Identification of a 3-D Object Represented by Octree
IEEE Transactions on Pattern Analysis and Machine Intelligence
Determination of the Symmetries of Polyhedra and an Application to Object Recognition
CG '91 Proceedings of the International Workshop on Computational Geometry - Methods, Algorithms and Applications
Symmetry descriptors and 3D shape matching
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
IEEE Transactions on Computers
Finding axes of symmetry from potential fields
IEEE Transactions on Image Processing
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Reflective symmetry is useful for various areas such as computer vision, medical imaging, and 3D model retrieval system. This paper presents an intuitive reflective symmetry detection method for 3D polygon objects. Without any mapping process the method detects the reflective symmetry plane by parallel projection. This paper defines a continuous measure to estimate how much an object is reflective symmetrical for a projection plane through the center of the object. Also it explores the method to detect the reflective symmetry plane with the measure. The proposed method can detect up to 99% reflective symmetry plane not exceeding 4 degree angle for perfect symmetry objects and detect up to 85% reflective symmetry plane not exceeding 10 degree angle for near symmetry objects using Princeton Shape Benchmark.