olemus
(1) matemaatikas:
(1a) binaartehe funktsioonidega:
funktsioonide \(f(x)\) ja \(g(x)\)
konvolutsioon \((f\ast g)(x)\) on
integraal \(\int f(t) g(x-t) dt\)
=
a mathematical operation on two functions (f and g) that produces a third function (f * g) that expresses how the shape of one is modified by the other.
https://en.wikipedia.org/wiki/Convolution
https://encyclopediaofmath.org/wiki/Convolution_of_functions

(1b) binaartehe jadadega
\(a = (a_0, a_1, a_2, \ldots)\) ja \(b = (b_0, b_1, b_2, \ldots)\),
tulemus on jada \(c = a\ast b = (c_0, c_1, c_2, \ldots)\),
kus
\(c_k = a_0 b_k + a_1 b_{k-1} + a_2 b_{k-2} + \ldots + a_{k-1} b_1 + a_k b_0\)
sünonüüm: jadade \(a\) ja \(b\) Cauchy korrutis
https://en.wikipedia.org/wiki/Cauchy_product

(2) signaalitöötluses:
signaalide korrutis sagedusvallas
= product of signals in the frequency domain
http://www.dspguide.com/ch6/2.htm

(3) pilditöötluses:
pikseli väärtuse muutmine
naaber- või filtripikselite väärtuste abil
= changing a pixel value
by means of adjacent or filter pixels
http://web.pdx.edu/~jduh/courses/Archive/geog481w07/Students/Ludwig_ImageConvolution.pdf

(4) programmikeeltes:
in programming languages, a function which maps a tuple of sequences into a sequence of tuples
https://en-academic.com/dic.nsf/enwiki/718742

vt ka
- dekonvolutsioon