DIPlib Documentation - ©1995-2013 Quantitative Imaging Group, Delft University of Technology.

# Kuwahara

Edge perserving smoothing filter

## SYNOPSIS

`#include "dip_filtering.h"`

dip_Error dip_Kuwahara ( in, out, se, boundary, param, shape )

## DATA TYPES

binary, integer, float

## FUNCTION

This function implements the kuwahara edge-preserving smoothing function. See section 9.4, "Smoothing operations", in Fundamentals of Image Processing for a description of the algorithm. However, this function does not implement the classical kuwahara filter, which only compares the variance of four regions in the filter window. Instead, it compares the variance of every region specified by the filter shape and size centered within the filter window.

Only the rectangular, elliptic and diamond filter shapes are supported (`DIP_FLT_SHAPE_RECTANGULAR`, `DIP_FLT_SHAPE_ELLIPTIC` and `DIP_FLT_SHAPE_DIAMOND`). Other filter shapes can be implemented by setting `shape` to `DIP_FLT_SHAPE_STRUCTURING_ELEMENT`, and passing a binary image in `se`. The "on" pixels define the shape of the filter window. Other values of `shape` are illegal.

If `shape` is not equal to `DIP_FLT_SHAPE_STRUCTURING_ELEMENT`, `se` can be set to zero. When `shape` is set to `DIP_FLT_SHAPE_STRUCTURING_ELEMENT`, `param` is ignored, and can be set to zero.

## ARGUMENTS

Data type | Name | Description
`dip_Image` | `in` | Input image
`dip_Image` | `out` | Output image
`dip_Image` | `se` | Custom filter window (binary)
`dip_BoundaryArray` | `boundary` | Boundary conditions
`dip_FloatArray` | `param` | Filter sizes
`dip_FilterShape` | `shape` | Filter shape

The enumerator `dip_FilterShape` contains the following constants:

Name | Description
`DIP_FLT_SHAPE_DEFAULT` | Default filter window, same as `DIP_FLT_SHAPE_RECTANGULAR`
`DIP_FLT_SHAPE_RECTANGULAR` | Rectangular filter window, can be even in size
`DIP_FLT_SHAPE_ELLIPTIC` | Elliptic filter window, always odd in size
`DIP_FLT_SHAPE_DIAMOND` | Diamond-shaped filter window, always odd in size
`DIP_FLT_SHAPE_PARABOLIC` | Parabolic filter window (morphology only)
`DIP_FLT_SHAPE_DISCRETE_LINE` | Rotated line structuring element (morphology only)
`DIP_FLT_SHAPE_INTERPOLATED_LINE` | Rotated line structuring element, through interpolation (morphology only)
`DIP_FLT_SHAPE_PERIODIC_LINE` | (not implemented)
`DIP_FLT_SHAPE_STRUCTURING_ELEMENT` | Use `se` as filter window, can be any size

## SEE ALSO

`GeneralisedKuwahara`, `KuwaharaImproved`, `GeneralisedKuwaharaImproved`, `VarianceFilter`, `Uniform`