ASIA unversity:Item 310904400/4310
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    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/4310


    Title: Automatic rotational symmetry determination for shape analysis
    Authors: J. J. Leou;W. H. Tsai
    Contributors: Department of Information Communication
    Keywords: Order of rotational symmetry;Average shape radius;Difference radius function;Central moment function;Zerocrossings;Zerotouchings;Distance-weighted correlation;Similarity measure
    Date: 1987-02
    Issue Date: 2009-11-25 02:30:48 (UTC+0)
    Publisher: Asia University
    Abstract: The determination of the rotational symmetry of a shape is useful for object recognition and shape analysis in computer vision applications. In this paper, a simple, but effective, algorithm to analyse the rotational symmetry of a given closed-curve shape S is proposed. A circle C with the centroid of S as the circle center and the average radius of S as the circle radius is superimposed on S, resulting in the intersection of C and S at a set of points. By theoretical analysis, the relationship between the order Ns of the rotational symmetry of S and the number of intersection points between C and S is established. All the possible values for Ns are determined. And finally Ns is determined by evaluating the similarity between S and its rotated versions. In the proposed algorithm, only simple pixel operations and second-order moment function computation are involved. Several problems caused by the use of discrete image coordinates are analysed and solved for correct decision-making in the algorithm. Good experimental results are also included.
    Relation: Pattern Recognition 20 (6): 571-582
    Appears in Collections:[Department of Information Communication] Journal Article

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