Image Filtering & Neighborhood Processing

Linear Filters

Blur, Sharpen — blur, sharpen over a range

GaussianFilter — Gaussian and Gaussian derivatives filter

GradientFilter ▪ GradientOrientationFilter

LaplacianGaussianFilter ▪ LaplacianFilter ▪ MeanFilter ▪ WienerFilter ▪ RidgeFilter ▪ GaborFilter

ImageConvolve, ImageCorrelate — general linear convolution, correlation

DerivativeFilter — general-order derivative filter

Nonlinear Filters

MedianFilter ▪ MinFilter ▪ MaxFilter ▪ CommonestFilter ▪ RangeFilter

EntropyFilter ▪ StandardDeviationFilter ▪ HarmonicMeanFilter ▪ GeometricMeanFilter ▪ KuwaharaFilter

BilateralFilter ▪ MeanShiftFilter

PeronaMalikFilter ▪ CurvatureFlowFilter

Nonlocal Filters

ImageDeconvolve ▪ TotalVariationFilter

Frequency Based Filters

LowpassFilter ▪ HighpassFilter ▪ BandpassFilter ▪ BandstopFilter ▪ DifferentiatorFilter ▪ HilbertFilter

Region-of-Interest Processing

Masking — specify the image or graphics description of the region to which filters will be applied

General Neighborhood Processing

ImageFilter — apply an arbitrary function to blocks of pixel values

Convolution Kernels »

DiskMatrix ▪ BoxMatrix ▪ DiamondMatrix ▪ CrossMatrix ▪ GaussianMatrix ▪ ...

List-Based Operations »

ImageData — extract an array of data from an image

Partition — generalized partitioning

ArrayFlatten ▪ ListConvolve ▪ ListDeconvolve ▪ Fourier ▪ FourierDCT

CellularAutomaton — general cellular automaton

• Image Restoration
• Feature Detection
• Image Processing & Analysis
• Discrete Calculus
• Morphological Image Processing
• Matrix Computation
• Structure Matrices & Convolution Kernels