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In signal processing, a transform is a mathematical technique to convert data in one domain to another. The most common example is using the Fourier Transform to convert data from the time domain to the frequency domain.

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Geometric Transformation in Gradient Domain Possible?

The geometric transformation needs to be independent from the pixel coordinates $x$ and $y$. assume that $G$ is your transformation matrix: $$ \int\frac{d^{2} (G I)}{dx dy} = G \int\frac{d^{2} (I)}{d …
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What is the definition of a noiselet?

The wavelet transform has the desired property of presenting most images as a sparse signal where most of the signal energy is concentrated in few coefficients. … The coefficients resulting from the noiselet transform are spread out to almost equal magnitudes across the whole signal. Why are they useful? …
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