1994 年 18 巻 58 号 p. 1-6
In this paper, we propose a new zero-crossing representation in the wavelet transform domain and propose a method of signal reconstruction from it. The proposed zero-crossing representation have additional information that is defined as an inner-product between an original signal and an integral function of the wavelet basis at zero-crossing points. The signal reconstruction method provides a reconstructed signal with SNR of 50 dB. Furthermore, we extend the zero-crossing representation to the 2-dimensional case. The image reconstruction method provides a reconstructed image with SNR of 76 dB.