Difference of chirps: a class of quasi-wavelet filter functions for edge feature extraction

Debesh Choudhury; Somnath Bandyopadhyay

doi:10.1117/12.346767

29 April 1999 Difference of chirps: a class of quasi-wavelet filter functions for edge feature extraction

Proceedings Volume 3729, Selected Papers from International Conference on Optics and Optoelectronics '98; (1999) https://doi.org/10.1117/12.346767
Event: Selected Papers from the International Conference on Optics and Optoelectronics, 1998, Dehradun, India

Abstract

The kernel associated with Fresnel diffraction, which is an exponential chirp function, has recently been shown to possess the shifting and scaling properties of wavelet functions. However, these scaling chirp functions do not satisfy the commonly used admissibility conditions. We propose to synthesize a class of quasi-wavelet filter functions by taking difference of two such chirp functions with two different scaling depths and term these filters as difference-of-chirps (DOC). The Fourier transform of DOC functions have zero values at the origin, and can be used for edge feature extraction. Computer simulations as well as some experimental results have been presented.

Citation Download Citation

Debesh Choudhury and Somnath Bandyopadhyay "Difference of chirps: a class of quasi-wavelet filter functions for edge feature extraction", Proc. SPIE 3729, Selected Papers from International Conference on Optics and Optoelectronics '98, (29 April 1999); https://doi.org/10.1117/12.346767

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