Introduction

The LocalFilters package provides local linear and non-linear filters for Julia.

The source code of LocalFilters is available on GitHub.

Table of contents

• Generic local filters
• • The localfilter! method
  • The localfilter method
  • Examples
• Neighborhoods, structuring elements, and kernels
• • Definitions
  • Simple rules for specifying neighborhoods and kernels
  • Simple operations on kernels
  • Hyper-balls
• Linear filters
• • Local mean
  • Discrete convolution
  • Discrete correlation
  • Element type of the result
• Non-linear filters
• • The bilateral filter
• Non-linear morphological filters
• • Basic morphological operations
  • Opening and closing filters
  • Top-hat and bottom-hat filters
• Efficient separable filters for associative operations
• • Out-of-place version
  • In-place version
  • Examples
  • Efficiency and restrictions
  • References
• Convolution, correlation, and Fourier transform
• • Fourier transform
  • Convolution product
  • Correlation product
  • Discrete convolution and correlation
• Reference
• • Index
  • Simple linear filters
  • Mathematical morphology
  • Other non-linear filters
  • Methods to build local filters
  • Constants
  • Neighborhoods, boxes, kernels, and windows
  • Utilities