fractals

fractals — Fractal dimension calculation, fractal interpolation

Synopsis

#include <libprocess/gwyprocess.h>

void                gwy_data_field_fractal_partitioning (GwyDataField *data_field,
                                                         GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         GwyInterpolationType interpolation);
void                gwy_data_field_fractal_cubecounting (GwyDataField *data_field,
                                                         GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         GwyInterpolationType interpolation);
void                gwy_data_field_fractal_triangulation
                                                        (GwyDataField *data_field,
                                                         GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         GwyInterpolationType interpolation);
void                gwy_data_field_fractal_psdf         (GwyDataField *data_field,
                                                         GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         GwyInterpolationType interpolation);
gdouble             gwy_data_field_fractal_cubecounting_dim
                                                        (GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         gdouble *a,
                                                         gdouble *b);
gdouble             gwy_data_field_fractal_triangulation_dim
                                                        (GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         gdouble *a,
                                                         gdouble *b);
gdouble             gwy_data_field_fractal_partitioning_dim
                                                        (GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         gdouble *a,
                                                         gdouble *b);
gdouble             gwy_data_field_fractal_psdf_dim     (GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         gdouble *a,
                                                         gdouble *b);
void                gwy_data_field_fractal_correction   (GwyDataField *data_field,
                                                         GwyDataField *mask_field,
                                                         GwyInterpolationType interpolation);

Description

Details

gwy_data_field_fractal_partitioning ()

void                gwy_data_field_fractal_partitioning (GwyDataField *data_field,
                                                         GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         GwyInterpolationType interpolation);

Computes data for log-log plot by partitioning.

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

data_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_data_field_fractal_cubecounting ()

void                gwy_data_field_fractal_cubecounting (GwyDataField *data_field,
                                                         GwyDataLine *xresult,
                                                         GwyDataLine *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.

data_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_data_field_fractal_triangulation ()

void                gwy_data_field_fractal_triangulation
                                                        (GwyDataField *data_field,
                                                         GwyDataLine *xresult,
                                                         GwyDataLine *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.

data_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_data_field_fractal_psdf ()

void                gwy_data_field_fractal_psdf         (GwyDataField *data_field,
                                                         GwyDataLine *xresult,
                                                         GwyDataLine *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.

data_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_data_field_fractal_cubecounting_dim ()

gdouble             gwy_data_field_fractal_cubecounting_dim
                                                        (GwyDataLine *xresult,
                                                         GwyDataLine *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_data_field_fractal_cubecounting().

xresult :

Log-log fractal data (x values).

yresult :

Log-log fractal data (y values).

a :

Location to store linear fit constant to.

b :

Location to store linear fit slope to.

Returns :

The fractal dimension.

gwy_data_field_fractal_triangulation_dim ()

gdouble             gwy_data_field_fractal_triangulation_dim
                                                        (GwyDataLine *xresult,
                                                         GwyDataLine *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_data_field_fractal_triangulation().

xresult :

Log-log fractal data (x values).

yresult :

Log-log fractal data (y values).

a :

Location to store linear fit constant to.

b :

Location to store linear fit slope to.

Returns :

The fractal dimension.

gwy_data_field_fractal_partitioning_dim ()

gdouble             gwy_data_field_fractal_partitioning_dim
                                                        (GwyDataLine *xresult,
                                                         GwyDataLine *yresult,
                                                         gdouble *a,
                                                         gdouble *b);

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

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

xresult :

Log-log fractal data (x values).

yresult :

Log-log fractal data (y values).

a :

Location to store linear fit constant to.

b :

Location to store linear fit slope to.

Returns :

The fractal dimension.

gwy_data_field_fractal_psdf_dim ()

gdouble             gwy_data_field_fractal_psdf_dim     (GwyDataLine *xresult,
                                                         GwyDataLine *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_data_field_fractal_psdf().

xresult :

Log-log fractal data (x values).

yresult :

Log-log fractal data (y values).

a :

Location to store linear fit constant to.

b :

Location to store linear fit slope to.

Returns :

The fractal dimension.

gwy_data_field_fractal_correction ()

void                gwy_data_field_fractal_correction   (GwyDataField *data_field,
                                                         GwyDataField *mask_field,
                                                         GwyInterpolationType interpolation);

Replaces data under mask with interpolated values using fractal interpolation.

data_field :

A data field.

mask_field :

Mask of places to be corrected.

interpolation :

Interpolation type.