Asymmetric Fourier descriptor of non-closed segments
Resource
2010 17th IEEE International Conference on Image Processing (ICIP), 1613-1616
Journal
2010 IEEE International Conference on Image Processing
Pages
1613-1616
Date Issued
2010
Date
2010
Author(s)
Abstract
The Fourier descriptor is an efficient and effective way to describe a closed boundary. However, for a non-closed segment, since the two non-adjacent end points result in signal discontinuity, after eliminating the high-frequency part, the reconstructed segment has large error near the two ends. In this paper, we propose a warping method to connect the two ends and perform odd-symmetric extension to smooth the warped segment around them. With these modifications, the high-frequency components near the two ends can be much reduced and we can obtain the reconstructed segment with accurate end-point locations even when only the low frequency coefficients are preserved. This method could also be used for a closed boundary with a pre-segmentation process, and the experimental result shows that with the same boundary compression rate, our method has better reconstruction quality than directly extracting Fourier descriptors on the closed boundary.
SDGs
Type
conference paper
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