Wavelet based Scalable Edge Detector

Fixed size kernels are used to extract differential structure of images. Increasing the kernal size reduces the localization accuracy and noise along with increase in computational complexity. The computational cost of edge extraction is related to the image resolution or scale. In this paper wavelet scale correlation for edge detection along with scalability in edge detector has been envisaged. The image is decomposed according to its resolution, structural parameters and noise level by multilevel wavelet decomposition using Quadrature Mirror Filters (QMF). The property that image structural information is preserved at each decomposition level whereas noise is partially reduced within subbands, is being exploited. An innovative wavelet synthesis approach is conceived based on scale correlation of the concordant detail bands such that the reconstructed image fabricates an edge map of the image. Although this technique falls short to spot few edge pixels at contours but the results are better than the classical operators in noisy scenario and noise elimination is significant in the edge maps keeping default threshold constraint.

[1]  Adil Masood Siddiqui,et al.  Novel Edge Detection , 2007, Fourth International Conference on Information Technology (ITNG'07).

[2]  Carlos López-Martínez,et al.  Edge Enhancement Algorithm Based on the Wavelet Transform for Automatic Edge Detection in SAR Images , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[3]  Dongbing Gu,et al.  A multiscale edge detection algorithm based on wavelet domain vector hidden Markov tree model , 2004, Pattern Recognit..

[4]  Brian M. Sadler,et al.  Analysis of Multiscale Products for Step Detection and Estimation , 1999, IEEE Trans. Inf. Theory.

[5]  D Marr,et al.  Theory of edge detection , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[6]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[7]  Hongming Cai,et al.  Optimal threshold selection algorithm in edge detection based on wavelet transform , 2005, Image Vis. Comput..

[8]  Salvatore Tabbone,et al.  A multi-scale edge detector , 1993, Pattern Recognit..

[9]  Muhammad Saleem,et al.  Novel Edge Detector , 2008, IWCIA.

[10]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Rae-Hong Park,et al.  Multiresolution edge detection techniques , 1995, Pattern Recognit..