Multidirectional and multiscale edge detection via M-band wavelet transform

• Published in: IEEE transactions on image processing Vol. 5; no. 9; pp. 1370 - 1377
• Main Authors: Aydin, T., Yemez, Y., Anarim, E., Sankur, B.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.1996; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Band pass filters; Bandwidth; Exact sciences and technology; Facsimile; Filtering; Image edge detection; Image processing; Image resolution; Information, signal and communications theory; Laplace equations; Signal processing; Speech coding; Telecommunications and information theory; Video compression; Wavelet transforms; Decomposition; Image processing; Wavelet transformation; Algorithm; Edge detection; Orthogonal transformation
• ISSN: 1057-7149; 1941-0042
• DOI: 10.1109/83.535850

In this correspondence, the problem of directional and multiscale edge detection is considered. Orthogonal and linear-phase M-band wavelet transform is used to decompose the image into M/spl times/M channels. These channels are then combined such that each combination, which we refer to as decomposition filter, results in zero-crossings at the locations of edges corresponding to different directions and resolutions, and inherently performs regularization against noise. By applying a zero-crossing detector on the outputs of the decomposition filters, edge maps of desired resolution and direction are obtained. In addition, with the application of the Teager's energy operator at the analysis stage, it is possible to obtain a reduction in unwanted zero-crossings. Final edge maps of images are obtained through simple combinations of directional edge maps.