Abstract | ||
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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. |
Year | DOI | Venue |
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2001 | 10.1007/3-540-45333-4_17 | WAA |
Keywords | Field | DocType |
new curve,local maxima modulus,dirac edge,positive result,continuous wavelet,new wavelet transform,novel continuous wavelet,suitable wavelet function,dirac-structure edge,diracstructure edge,significant characteristic,local maximum modulus,continuous wavelet transform,wavelet transform | Harmonic wavelet transform,Mathematical analysis,Continuous wavelet,Second-generation wavelet transform,Discrete wavelet transform,Stationary wavelet transform,Wavelet packet decomposition,Mathematics,Wavelet transform,Wavelet | Conference |
ISBN | Citations | PageRank |
3-540-43034-2 | 8 | 0.59 |
References | Authors | |
4 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Lihua Yang | 1 | 236 | 33.24 |
Xinge You | 2 | 1441 | 83.00 |
Robert M. Haralick | 3 | 10262 | 2605.93 |
Ihsin T. Phillips | 4 | 355 | 37.57 |
Yuan Yan Tang | 5 | 2662 | 209.20 |