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In order to perform edge detection with the Roberts operator we first convolve the original image, with the following two kernels:
It means that you obtain the function, again, if you convolve the function with a discrete mask and then scale it back.
In this case, the interpretation is that these are the quantities to convolve the final wavefunction so as to get the initial wavefunction.
A mathematically equivalent method is to convolve one sinc function with a series of Dirac delta pulses, weighted by the sample values.
When implementing the one-dimensional smoothing step in practice, the presumably simplest approach is to convolve the discrete signal with a sampled Gaussian kernel:
Even a perfect lens will convolve the incoming image with an Airy disc (the diffraction pattern produced by passing a point light source through a circular aperture).
Background subtraction: the idea is to convolve all the images that are captured with a Gauss filter of 5x5, and then these are scaled to reduce noisy pixel data.
To convolve reliably for physical quantities at r in response to a top-hat beam, we must ensure that r in photon transport methods is large enough that r r R holds.
The cepstrum is useful in these applications because the low-frequency periodic excitation from the vocal cords and the formant filtering of the vocal tract, which convolve in the time domain and multiply in the frequency domain, are additive and in different regions in the quefrency domain.
