Linear and Nonlinear Filters

Mathematica's highly optimized filtering capabilities provide a wide range of linear and modern nonlinear local filters, as well as a variety of nonlocal filters, which can be applied to arbitrary arrays of data and images.

ReferenceReference

Linear Filters

GaussianFilter Gaussian and Gaussian derivatives filtering of images and arrays

DerivativeFilter general-order derivative filter

MeanFilter ▪ GradientFilter ▪ LaplacianFilter ▪ WienerFilter ▪ MovingAverage

LowpassFilter ▪ HighpassFilter ▪ BandpassFilter ▪ BandstopFilter ▪ HilbertFilter ▪ DifferentiatorFilter

ListConvolve, ListCorrelate convolve, correlate with any kernel

Convolution Kernels »

DiskMatrix ▪ BoxMatrix ▪ DiamondMatrix ▪ CrossMatrix

GaussianMatrix ▪ IdentityMatrix ▪ SparseArray

Nonlinear Filters

MedianFilter ▪ MinFilter ▪ MaxFilter ▪ MeanShiftFilter ▪ EntropyFilter ▪ CornerFilter ▪ RidgeFilter ▪ KuwaharaFilter ▪ BilateralFilter

CellularAutomaton general cellular automaton

Nonlocal Filters

TotalVariationFilter ▪ ListDeconvolve

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