A Complete Set of Fourier Descriptors for Two-Dimensional Shapes
- 1 January 1982
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Systems, Man, and Cybernetics
- Vol. 12 (6), 848-855
- https://doi.org/10.1109/tsmc.1982.4308918
Abstract
A set of Fourier descriptors for two-dimensional shapes is defined which is complete in the sense that two objects have the same shape if and only if they have the same set of Fourier descriptors. It also is shown that the moduli of the Fourier coefficients of the parameterizing function of the boundary of an object do not contain enough information to characterize the shape of an object. Further a relationship is established between rotational symmetries of an object and the set of integers for which the corresponding Fourier coefficients of the parameterizing function are nonzero.Keywords
This publication has 4 references indexed in Scilit:
- Shape Discrimination Using Fourier DescriptorsIEEE Transactions on Systems, Man, and Cybernetics, 1977
- Identification of Three-Dimensional Objects Using Fourier Descriptors of the Boundary CurveIEEE Transactions on Systems, Man, and Cybernetics, 1974
- Fourier Descriptors for Plane Closed CurvesIEEE Transactions on Computers, 1972
- Fourier Preprocessing for Hand Print Character RecognitionIEEE Transactions on Computers, 1972