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A generalized methodology of constructing a Mexican hat wavelet family involving even order Gaussian derivatives has been devised in a Gaussian scale space only. The optimization has been carried out in Fourier domain and the kernels in Gaussian scale space domain are found to be exact replica of their derivative wavelet counterpart for low as well as high order. Wavelet properties of the lowest order...
Exploiting the models of human visual system based on Gaussian derivatives and their non-localization property in spectral domain, a new design of low pass filter is proposed in this work. The filter is designed by a weighted combination of the Gaussian derivative family which makes the passband of this filter almost equiripple. This design principle can be extended for the bandpass filter also because...
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