Title :
Cardinal B-spline wavelet based on Canny’s edge detection criteria
Author :
Liu, Shu-guang ; Liu, Ming-yuan ; He, Yue
Author_Institution :
Sch. of Electron. & Inf., Xian Polytech. Univ., Xian
Abstract :
Based on Cannypsilas edge detecting criteria, we study two types of the cardinal B-spline wavelets which converge asymptotically to Canny operator and Marr-Hildreth operator respectively, derive the mathematical formulas of the signal-to-noise ratio SNR, the localization L and the nonedge-mean-distance M, and prove that when detecting the object edge, the B-spline wavelet converging to Canny operator is superior to the B-spline wavelet converging to Marr-Hildreth operator. Like the first-derivative of Gauss function, B-spline wavelet converging to Canny operator can satisfy the optimal criteria approximately and detect edges with very high calculation speed.
Keywords :
convergence of numerical methods; edge detection; mathematical operators; object detection; splines (mathematics); wavelet transforms; Canny object edge detection criteria; Canny operator; Gauss function; Marr-Hildreth operator; asymptotic convergence; cardinal B-spline wavelet; mathematical formula; optimal criteria; signal-to-noise ratio; Additive white noise; Detectors; Image edge detection; Information analysis; Object detection; Pattern analysis; Pattern recognition; Signal to noise ratio; Spline; Wavelet analysis; Canny criteria; Cardinal B-spline; edge detection; wavelet;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
DOI :
10.1109/ICWAPR.2008.4635840
