Fractals

Fractals — Fractal dimension calculation, fractal interpolation

Functions

Includes

#include <libgwyddion/gwyddion.h>

Description

Functions

gwy_field_fractal_partitioning()

void
gwy_field_fractal_partitioning (GwyField *field,
                                GwyLine *xresult,
                                GwyLine *yresult,
                                GwyInterpolationType interpolation);

Computes data for log-log plot by partitioning (variance).

Data lines xresult and yresult will be resized to the output size and they will contain corresponding values at each position.

Parameters

field

A data field.

 

xresult

Data line to store x-values for log-log plot to.

 

yresult

Data line to store y-values for log-log plot to.

 

interpolation

Interpolation type.

 

gwy_field_fractal_cubecounting()

void
gwy_field_fractal_cubecounting (GwyField *field,
                                GwyLine *xresult,
                                GwyLine *yresult,
                                GwyInterpolationType interpolation);

Computes data for log-log plot by cube counting.

Data lines xresult and yresult will be resized to the output size and they will contain corresponding values at each position.

Parameters

field

A data field.

 

xresult

Data line to store x-values for log-log plot to.

 

yresult

Data line to store y-values for log-log plot to.

 

interpolation

Interpolation type.

 

gwy_field_fractal_triangulation()

void
gwy_field_fractal_triangulation (GwyField *field,
                                 GwyLine *xresult,
                                 GwyLine *yresult,
                                 GwyInterpolationType interpolation);

Computes data for log-log plot by triangulation.

Data lines xresult and yresult will be resized to the output size and they will contain corresponding values at each position.

Parameters

field

A data field.

 

xresult

Data line to store x-values for log-log plot to.

 

yresult

Data line to store y-values for log-log plot to.

 

interpolation

Interpolation type.

 

gwy_field_fractal_psdf()

void
gwy_field_fractal_psdf (GwyField *field,
                        GwyLine *xresult,
                        GwyLine *yresult,
                        GwyInterpolationType interpolation);

Computes data for log-log plot by spectral density method.

Data lines xresult and yresult will be resized to the output size and they will contain corresponding values at each position.

Parameters

field

A data field.

 

xresult

Data line to store x-values for log-log plot to.

 

yresult

Data line to store y-values for log-log plot to.

 

interpolation

Interpolation type. The argument has no effect. It exists to keep the same signature as the other functions.

 

gwy_field_fractal_hhcf()

void
gwy_field_fractal_hhcf (GwyField *field,
                        GwyLine *xresult,
                        GwyLine *yresult);

Computes data for log-log plot by structure function (HHCF) method.

Data lines xresult and yresult will be resized to the output size and they will contain corresponding values at each position.

Parameters

field

A data field.

 

xresult

Data line to store x-values for log-log plot to.

 

yresult

Data line to store y-values for log-log plot to.

 

gwy_field_fractal_cubecounting_dim()

gdouble
gwy_field_fractal_cubecounting_dim (GwyLine *xresult,
                                    GwyLine *yresult,
                                    gdouble *a,
                                    gdouble *b);

Computes fractal dimension by cube counting method from log-log plot data.

The xresult and yresult data lines are usually calculated by gwy_field_fractal_cubecounting().

Parameters

xresult

Log-log fractal data (x values).

 

yresult

Log-log fractal data (y values).

 

a

Location to store linear fit constant to.

[out]

b

Location to store linear fit slope to.

[out]

Returns

The fractal dimension.


gwy_field_fractal_triangulation_dim()

gdouble
gwy_field_fractal_triangulation_dim (GwyLine *xresult,
                                     GwyLine *yresult,
                                     gdouble *a,
                                     gdouble *b);

Computes fractal dimension by triangulation method from log-log plot data.

The xresult and yresult data lines are usually calculated by gwy_field_fractal_triangulation().

Parameters

xresult

Log-log fractal data (x values).

 

yresult

Log-log fractal data (y values).

 

a

Location to store linear fit constant to.

[out]

b

Location to store linear fit slope to.

[out]

Returns

The fractal dimension.


gwy_field_fractal_partitioning_dim()

gdouble
gwy_field_fractal_partitioning_dim (GwyLine *xresult,
                                    GwyLine *yresult,
                                    gdouble *a,
                                    gdouble *b);

Computes fractal dimension by partitioning (variance) method from log-log plot data.

The xresult and yresult data lines are usually calculated by gwy_field_fractal_partitioning().

Parameters

xresult

Log-log fractal data (x values).

 

yresult

Log-log fractal data (y values).

 

a

Location to store linear fit constant to.

[out]

b

Location to store linear fit slope to.

[out]

Returns

The fractal dimension.


gwy_field_fractal_psdf_dim()

gdouble
gwy_field_fractal_psdf_dim (GwyLine *xresult,
                            GwyLine *yresult,
                            gdouble *a,
                            gdouble *b);

Computes fractal dimension by spectral density function method from log-log plot data.

The xresult and yresult data lines are usually calculated by gwy_field_fractal_psdf().

Parameters

xresult

Log-log fractal data (x values).

 

yresult

Log-log fractal data (y values).

 

a

Location to store linear fit constant to.

[out]

b

Location to store linear fit slope to.

[out]

Returns

The fractal dimension.


gwy_field_fractal_hhcf_dim()

gdouble
gwy_field_fractal_hhcf_dim (GwyLine *xresult,
                            GwyLine *yresult,
                            gdouble *a,
                            gdouble *b);

Computes fractal dimension by structure function (HHCF) method from log-log plot data.

The xresult and yresult data lines are usually calculated by gwy_field_fractal_hhcf().

Parameters

xresult

Log-log fractal data (x values).

 

yresult

Log-log fractal data (y values).

 

a

Location to store linear fit constant to.

[out]

b

Location to store linear fit slope to.

[out]

Returns

The fractal dimension.


gwy_field_fractal_correction()

void
gwy_field_fractal_correction (GwyField *field,
                              GwyField *mask,
                              GwyInterpolationType interpolation);

Replaces data under mask with interpolated values using fractal interpolation.

Parameters

field

A data field.

 

mask

Mask of places to be corrected.

 

interpolation

Interpolation type.

 

gwy_NIELD_fractal_correction()

void
gwy_NIELD_fractal_correction (GwyField *field,
                              GwyNield *mask,
                              GwyInterpolationType interpolation);

Replaces data under mask with interpolated values using fractal interpolation.

Parameters

field

A data field.

 

mask

Mask of places to be corrected.

 

interpolation

Interpolation type.