Consistent signal reconstruction from wavelet extrema representation
Jian Jiang Lu · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997
This paper studies the algorithms that reconstruct a signal from its wavelet extrema representation. We show that the existing reconstruction algorithms are inadequate in assuring a consistent reconstruction. We further propose a method that can be used with a number of existing algorithms to guarantee a consistent reconstruction. The new method provides a rigorous way to prevent artifacts resulting from the spurious wavelet extrema in the reconstructed signal.