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Signal Recovery from Wavelet Threshold Crossings
Kikuchi, Hisakazu,Nakashizuka, Makoto,Ishii, Ikuo,Makino, Hideo 대한전자공학회 1994 ISPACS:Intelligent Signal Processing and Communica Vol.1 No.1
This paper presents signal reconstruction from wavelet threshold-crossings by using convex projection. We define the wavelet threshold crossings as the irregular sampling of a discrete dyadic wavelet transform. The reconstruction is done by the projection between a convex which characterized by the threshold-crossings and a linear space of all possible wavelet transform. The wavelet threshold-crossings convey the same information as the quantized wavelet transform. The reconstruction precision of the threshold-crossing is superior to the inverse wavelet transform of the quantized wavelet transform. Image reconstruction from the wavelet threshold crossings is demonstrated.