A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
An introduction to wavelets
Characterization of Dirac-structure edges with wavelet transform
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Skeletonization of Ribbon-Like Shapes Based on a New Wavelet Function
IEEE Transactions on Pattern Analysis and Machine Intelligence
Skeleton representation of character based on multiscale approach
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part II
Multiscale approach for thinning ridges of fingerprint
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part II
Locating vessel centerlines in retinal images using wavelet transform: a multilevel approach
ICIC'05 Proceedings of the 2005 international conference on Advances in Intelligent Computing - Volume Part I
| Hi-index | 0.01 |
This paper aims at studying the characterization of Diracstructure edges with a novel wavelet transform, and selecting the suitable wavelet functions to detect them. Three significant characteristics of the local maximum modulus of the wavelet transform with respect to the Dirac-structure edges are presented. By utilizing a novel continuous wavelet, it is proven that the local maxima modulus of such continuous wavelet transform of a Dirac-structure edge forms two new curves which are located symmetrically at the two sides of the original one and have the same direction with it and the distance between the two curves is estimated. An algorithm to detect curves in an image by utilizing the above invariants is developed. Several experiments are conducted, and positive results are obtained.