Convolution
Version 1.0.0 · Updated 2026-07-28
CORE DEFINITION
In functional analysis, convolution (convolution), also translated as stacking, folding, or convolution, is a mathematical operator that generates a third function from two functions f and g, characterizing the area of the curved trapezoid enclosed by the product of f and the flipped and translated g. If one of the functions participating in convolution is considered as the indicator function of an interval, convolution can also be seen as a generalization of 'moving average'.
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In functional analysis, convolution (convolution), also translated as stacking, folding, or convolution, is a mathematical operator that generates a third function from two functions f and g, characterizing the area of the curved trapezoid enclosed by the product of f and the flipped and translated g.
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The convolution kernel slides over the signal/image to perform weighted summation, extracting local features; analogously, the cognitive 'kernel' slides over reality, and what is seen is the features extracted by the filter, not the original reality. Changing the kernel means changing the perspective.
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- zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E5%8D%B7%E7%A7%AFverified
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