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Convolutions and Correlations   (Mathematica Tutorial)
Convolution and correlation are central to many kinds of operations on lists of data. They are used in such areas as signal and image processing, statistical data analysis, ...
Mathematica provides built-in functions for generating standard structure matrices and convolution kernels in any number of dimensions, in a form that can be used directly in ...
Structure Matrices and Convolution ...   (Mathematica Tutorial)
Constructing matrices with special shapes. This creates a matrix of 0s containing a radius 4 diamond of 1s. The result is a 9×9 matrix. The size of the matrix can be ...
DiscreteConvolve   (Built-in Mathematica Symbol)
DiscreteConvolve[f, g, n, m] gives the convolution with respect to n of the expressions f and g. DiscreteConvolve[f, g, {n_1, n_2, ...}, {m_1, m_2, ...}] gives the ...
Convolve   (Built-in Mathematica Symbol)
Convolve[f, g, x, y] gives the convolution with respect to x of the expressions f and g.Convolve[f, g, {x_1, x_2, ...}, {y_1, y_2, ...}] gives the multidimensional ...
DirichletConvolve   (Built-in Mathematica Symbol)
DirichletConvolve[f, g, n, m] gives the Dirichlet convolution of the expressions f and g.
ListLineIntegralConvolutionPlot   (Built-in Mathematica Symbol)
ListLineIntegralConvolutionPlot[{array, image}] generates a line integral convolution plot of image convolved with the vector field defined by an array of vector field ...
LineIntegralConvolutionScale   (Built-in Mathematica Symbol)
LineIntegralConvolutionScale is an option to LineIntegralConvolutionPlot and related functions that determines the scale of the line integral convolution to be used.
CUDAImageConvolve[img, kern] gives the convolution of img with kern.CUDAImageConvolve[list, kern] gives the convolution of list with kern.CUDAImageConvolve[mem, kern] gives ...
ImageConvolve   (Built-in Mathematica Symbol)
ImageConvolve[image, ker] gives the convolution of image with kernel ker.
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