Symmetry analysis by computer |
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Authors: | S.K. Parui D. Dutta Majumder |
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Affiliation: | Electronics and Communication Sciences Unit, Indian Statistical Institute, Calcutta 700035, India |
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Abstract: | Approximate locations of axes of symmetry of a 2-dimensional region are detected on the basis of its border. The border, described in terms of certain directional codes, is treated as a regular polygon in a hierarchical manner where a lower level means a greater number of sides. At each level of the hierarchy, the best axis of symmetry is found which for a lower level gives a more accurate position of the unknown axis of symmetry than for a higher level. Along with an axis of symmetry, a certain error is found on the basis of which the degree of symmetry of a 2-dimensional region is defined. Programs are written in FORTRAN IV and are implemented on an EC-1033 computer. |
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Keywords: | 2-Dimensional region Border detection Directional codes Regular polygons Axis of symmetry Degree of symmetry |
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