Convolution
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In mathematics, convolution is a mathematical operation on two functions f and g that produces a third function f ∗ g, as the integral of the product of the two functions after one is reflected about
Gaussian blur can be used to obtain a smooth grayscale digital image of a halftone print.
Laplace transform
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In mathematics, the Laplace transform, named after Pierre-Simon Laplace, is an integral transform that converts a function of a real variable to a function of a complex variable s. The functions are o
Convolution
…Let t = u + v , then Note that F ( s ) ⋅ G ( s ) is the bilateral Laplace transform of ( f ∗ g ) ( t ) . A similar derivation can be done using the unilateral Laplace transform (one-sided Laplace transform). The convolution operation also describes the output (in terms of the input) of an important class of operations known…
Pierre-Simon, marquis de Laplace
Complex frequency s domain negative