Related Transforms
If one considers convolution with the kernel 1/(π(1 + x2)) instead of with a Gaussian, one obtains the Poisson transform which smoothes and averages a given function in a manner similar to the Weierstrass transform.
Read more about this topic: Weierstrass Transform
Famous quotes containing the words related and/or transforms:
“No being exists or can exist which is not related to space in some way. God is everywhere, created minds are somewhere, and body is in the space that it occupies; and whatever is neither everywhere nor anywhere does not exist. And hence it follows that space is an effect arising from the first existence of being, because when any being is postulated, space is postulated.”
—Isaac Newton (16421727)
“It is old age, rather than death, that is to be contrasted with life. Old age is lifes parody, whereas death transforms life into a destiny: in a way it preserves it by giving it the absolute dimension. ... Death does away with time.”
—Simone De Beauvoir (19081986)