Singularity detection and processing with wavelets

作者: S. Mallat , W.L. Hwang

DOI: 10.1109/18.119727

关键词:

摘要: … uniformly Lipschitz a - 1 on the same interval. By extending this property for a > 1, we can define negative uniform … decay of the wavelet transform at scales larger than 1 characterize the …

参考文章(17)
Mathias Holschneider, Philippe Tchamitchian, Regularite locale de la fonction “non-differentiable” de Riemann Springer, Berlin, Heidelberg. pp. 102- 124 ,(1990) , 10.1007/BFB0083518
Emmanuel Bacry, Alain Arneodo, Uriel Frisch, Yves Gagne, Emil Hopfinger, Wavelet analysis of fully developed turbulence data and measurement of scaling exponents Springer, Dordrecht. pp. 203- 215 ,(1991) , 10.1007/978-94-015-7904-9_13
M. Holschneider, R. Kronland-Martinet, J. Morlet, Ph. Tchamitchian, A real-time algorithm for signal analysis with the help of the wavelet transform Wavelets. Time-Frequency Methods and Phase Space. pp. 286- 297 ,(1989) , 10.1007/978-3-642-97177-8_28
A. Rosenfeld, M. Thurston, Edge and Curve Detection for Visual Scene Analysis IEEE Transactions on Computers. ,vol. C-20, pp. 562- 569 ,(1971) , 10.1109/T-C.1971.223290
S. Jaffard, Pointwise smoothness, two-microlocalization and wavelet coefficients Publicacions Matematiques. ,vol. 35, pp. 155- 168 ,(1991) , 10.5565/PUBLMAT_35191_06
J. F. Muzy, E. Bacry, A. Arneodo, Wavelets and multifractal formalism for singular signals: Application to turbulence data. Physical Review Letters. ,vol. 67, pp. 3515- 3518 ,(1991) , 10.1103/PHYSREVLETT.67.3515
I. Daubechies, The wavelet transform, time-frequency localization and signal analysis IEEE Transactions on Information Theory. ,vol. 36, pp. 961- 1005 ,(1990) , 10.1109/18.57199
Theory of Edge Detection Proceedings of The Royal Society B: Biological Sciences. ,vol. 207, pp. 187- 217 ,(1980) , 10.1098/RSPB.1980.0020