Symmetrical Axis Determination and Center Curve

This paper represent an efficient computational method to identify symmetry axis and centre curve in a 2-dimensional text, image and structure. An adaptive technique is proposed for symmetrical axis determination using mirror image. The proposed approach can adopt threshold value from first computation. Exclusive OR of logical original and mirror image is used for adopt threshold value. Here local symmetry such as 1-fold, 2-fold, 3-fold, 4-fold, 5-fold and 6-fold are identified that exist in certain limited region on the 2-dimensional structure. Another important symmetry as mirror symmetry and centre of symmetry is also characterizing the structure of objects. Locations of local symmetry axes can be used in structure averaging as well as in detecting small structural variations among different copies of the same protein.