Convolution/Folding of Functions
- Practical Electron Microscopy and Database -
- An Online Book -

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Convolution, or called folding, of two functions, f(r) and h(r), is defined as,

         Convolution/Folding of Functions --------------------------- [2738a]

In addition, convolution theorem is a useful theorem connecting the convolution in direct space to multiplication in Fourier transform space. The convolution theorem is given by,

         Convolution/Folding of Functions --------------------------- [2738b]

Multiplication theorem connects the multiplication in direct space to the convolution in Fourier transform space,

         Convolution/Folding of Functions --------------------------- [2738c]

 

 

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