Title :
Construction of Two Types of Wavelets Based on Edge Detector
Author :
Liu Shuguang ; Qu Pingge
Author_Institution :
Sch. of Electron. & Inf. Eng., Xi´an Polytech. Univ., Xi´an, China
Abstract :
Two types of wavelets via the mth cardinal B-spline function have been discussed in our paper, corresponding to the extrema detection and zero-crossings detection respectively. Based on Mallat´s wavelet transform and reverse transform theory of 1-D and 2-D signals, we derive the general expressions for the spatial and frequency responses of the filter banks in his wavelet decomposition and deconstruction algorithms for above two detection techniques of two detection techniques. Furthermore, we study in detail the properties of two types of wavelets, analyse their roles in the wavelet transform, and compare their differences on the detection of irregular structures of the signal.
Keywords :
edge detection; frequency response; signal detection; splines (mathematics); wavelet transforms; 1D signal; 2D signal; Mallat wavelet transform; deconstruction algorithms; edge detector; extrema detection; filter banks; frequency responses; mth cardinal B-spline function; reverse transform theory; signal detection; spatial responses; wavelet decomposition algorithms; zero-crossings detection; Detectors; Filter bank; Frequency; Genetic expression; Image edge detection; Signal analysis; Smoothing methods; Spline; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Image and Signal Processing, 2009. CISP '09. 2nd International Congress on
Conference_Location :
Tianjin
Print_ISBN :
978-1-4244-4129-7
Electronic_ISBN :
978-1-4244-4131-0
DOI :
10.1109/CISP.2009.5301205
