Ten lectures on wavelets
An introduction to wavelets
Characterization of Dirac Edge with New Wavelet Transform
WAA '01 Proceedings of the Second International Conference on Wavelet Analysis and Its Applications
On Evolute Cusps and Skeleton Bifurcations
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Skeletonization of Ribbon-Like Shapes Based on a New Wavelet Function
IEEE Transactions on Pattern Analysis and Machine Intelligence
Characterization of Dirac-structure edges with wavelet transform
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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Identifying centerlines of vessels in the retinal image is helpful to provide useful information in diagnosis of eye diseases and early signs of systemic disease. This paper presents a novel thinning method based on the wavelet transform with a multilevel scheme. The development of the method is inspired by the favorable characteristics of wavelet transform moduli. Mathematical analysis is given to show that the vessel edge and centerline can be detected efficiently by computing the maxima and minima of wavelet transform moduli. The implementation is performed by applying various scale sizes of the wavelet transform to thin the multiple-pixel-wide ribbon-like vessel gradually to be one-pixel-wide centerline. Experiment results show that the identified centerline of vascular trees are accurate by visual inspection and are useful for further applications.