@inproceedings{0619f1ca5c824d69a68a70532326ac4b,

title = "Detecting grey level symmetry: The frequency domain approach",

abstract = "Applying symmetry detection algorithms to images after edge detection or segmentation is computationally attractive but potentially inadequate in demanding applications. In this paper a theoretical framework for refiectional symmetry analysis in grey level images is developed. The symmetry of a one dimensional function can be measured in the frequency domain as the fraction of its energy that resides in the symmetric Fourier basis functions. This intuitively appealing approach is extended to two dimensions. It is shown that the Radon transform is a convenient theoretical framework for grey level refiectional symmetry analysis. In particular, the projection-slice theorem unifies symmetry measurement in one and two dimensions and allows to measure refiectional symmetry in a 2-D function directly from its Fourier transform. Finite support computation requires windowing that can be interpreted in terms of the Gabor decomposition. Symmetry measurement in a natural image is demonstrated.",

author = "Yossi Gofman and Nahum Kiryati",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1995.; 6th International Conference on Computer Analysis of Images and Patterns, CAIP 1995 ; Conference date: 06-09-1995 Through 08-09-1995",

year = "1995",

doi = "10.1007/3-540-60268-2_349",

language = "אנגלית",

isbn = "3540602682",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "588--593",

editor = "Vaclav Hlavac and Radim Sara",

booktitle = "Computer Analysis of Images and Patterns - 6th International Conference, CAIP 1995, Proceedings",

}