Title :
Singularities and noise discrimination with wavelets
Author :
Hwang, Wen-Liang ; Mallat, Stephane
Author_Institution :
Courant Inst., New York Univ., NY, USA
Abstract :
One can detect and characterize the singularities of a signal from the evolution of the wavelet transform coefficients across scales. The authors discriminate signal information from noise by using some prior knowledge of the properties of singularities. The wavelet transform of the signal is processed in order to remove the singularities created by the noise. The authors restore a sharp signal where part of the noise has been suppressed. Examples in one and two dimensions are shown
Keywords :
image processing; interference suppression; noise; signal detection; wavelet transforms; images; noise discrimination; noise suppression; one-dimensional processes; signal detection; singularity characterisation; two-dimensional processes; wavelet transform coefficients; Convolution; Equations; Frequency; Image edge detection; Image restoration; Signal processing; Signal restoration; Wavelet analysis; Wavelet transforms; White noise;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-0532-9
DOI :
10.1109/ICASSP.1992.226357
