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scalespace.c File Reference

Scale Space - Definition. More...

`#include "scalespace.h"`
`#include "mathop.h"`
`#include <assert.h>`
`#include <stdlib.h>`
`#include <string.h>`
`#include <math.h>`
`#include <stdio.h>`

## Functions

VlScaleSpaceGeometry | vl_scalespace_get_default_geometry (vl_size width, vl_size height)
| Get the default geometry for a given image size. More...
vl_bool | vl_scalespacegeometry_is_equal (VlScaleSpaceGeometry a, VlScaleSpaceGeometry b)
| Check scale space geometries for equality. More...
VlScaleSpaceGeometry | vl_scalespace_get_geometry (VlScaleSpace const *self)
| Get the geometry of the scale space. More...
VlScaleSpaceOctaveGeometry | vl_scalespace_get_octave_geometry (VlScaleSpace const *self, vl_index o)
| Get the geometry of an octave of the scalespace. More...
float * | vl_scalespace_get_level (VlScaleSpace *self, vl_index o, vl_index s)
| Get the data of a scale space level. More...
float const * | vl_scalespace_get_level_const (VlScaleSpace const *self, vl_index o, vl_index s)
| Get the data of a scale space level (const) More...
double | vl_scalespace_get_level_sigma (VlScaleSpace const *self, vl_index o, vl_index s)
| Get the scale of a given octave and sublevel. More...
static void | copy_and_upsample (float *destination, float const *source, vl_size width, vl_size height)
| Upsample the rows and take the transpose. More...
static void | copy_and_downsample (float *destination, float const *source, vl_size width, vl_size height, vl_size numOctaves)
| Downsample. More...
VlScaleSpace * | vl_scalespace_new (vl_size width, vl_size height)
| Create a new scale space object. More...
VlScaleSpace * | vl_scalespace_new_with_geometry (VlScaleSpaceGeometry geom)
| Create a new scale space with the specified geometry. More...
VlScaleSpace * | vl_scalespace_new_copy (VlScaleSpace *self)
| Create a new copy of the object. More...
VlScaleSpace * | vl_scalespace_new_shallow_copy (VlScaleSpace *self)
| Create a new shallow copy of the object. More...
void | vl_scalespace_delete (VlScaleSpace *self)
| Delete object. More...
void | _vl_scalespace_fill_octave (VlScaleSpace *self, vl_index o)
| Fill octave starting from the first level. More...
static void | _vl_scalespace_start_octave_from_image (VlScaleSpace *self, float const *image, vl_index o)
| Initialize the first level of an octave from an image. More...
static void | _vl_scalespace_start_octave_from_previous_octave (VlScaleSpace *self, vl_index o)
| Initialize the first level of an octave from the previous octave. More...
void | vl_scalespace_put_image (VlScaleSpace *self, float const *image)
| Initialise Scale space with new image. More...

## Detailed Description

Author
  Karel Lenc
  Andrea Vedaldi
  Michal Perdoch

## Function Documentation

void _vl_scalespace_fill_octave | ( | VlScaleSpace * | self,
|  | vl_index | o
| ) |  |

Parameters

  self | object instance.
  o | octave to process.

The function takes the first sublevel of octave o (the one at sublevel `octaveFirstLevel` and iteratively smoothes it to obtain the other octave levels.

static void _vl_scalespace_start_octave_from_image | ( | VlScaleSpace * | self,
|  | float const * | image,
|  | vl_index | o
| ) |  |

static

Parameters

  self | VlScaleSpace object instance.
  image | image data.
  o | octave to start.

The function initializes the first level of octave o from image image. The dimensions of the image are the ones set during the creation of the VlScaleSpace object instance.

static void _vl_scalespace_start_octave_from_previous_octave | ( | VlScaleSpace * | self,
|  | vl_index | o
| ) |  |

static

Parameters

  self | object.
  o | octave to initialize.

The function initializes the first level of octave o from the content of octave `o - 1`.

static void copy_and_downsample | ( | float * | destination,
|  | float const * | source,
|  | vl_size | width,
|  | vl_size | height,
|  | vl_size | numOctaves
| ) |  |

static

Parameters

  destination | output imgae buffer.
  source | input image buffer.
  width | input image width.
  height | input image height.
  numOctaves | octaves (non negative).

The function downsamples the image d times, reducing it to `1/2^d` of its original size. The parameters width and height are the size of the input image. The destination image dst is assumed to be `floor(width/2^d)` pixels wide and `floor(height/2^d)` pixels high.

static void copy_and_upsample | ( | float * | destination,
|  | float const * | source,
|  | vl_size | width,
|  | vl_size | height
| ) |  |

static

Parameters

  destination | output image.
  source | input image.
  width | input image width.
  height | input image height.

The output image has dimensions height by 2 width (so the destination buffer must be at least as big as two times the input buffer).

Upsampling is performed by linear interpolation.

void vl_scalespace_delete | ( | VlScaleSpace * | self | ) |

Parameters

  self | object to delete.

See also
  vl_scalespace_new()

VlScaleSpaceGeometry vl_scalespace_get_default_geometry | ( | vl_size | width,
|  | vl_size | height
| ) |  |

Parameters

  width | image width.
  height | image height.

Returns
  the default scale space geometry.

Both width and height must be at least one pixel wide.

VlScaleSpaceGeometry vl_scalespace_get_geometry | ( | VlScaleSpace const * | self | ) |

Parameters

  self | object.

Returns
  the scale space geometry.

float* vl_scalespace_get_level | ( | VlScaleSpace * | self,
|  | vl_index | o,
|  | vl_index | s
| ) |  |

Parameters

  self | object.
  o | octave index.
  s | level index.

Returns
  pointer to the data for octave o, level s.

The octave index o must be in the range `firstOctave` to `lastOctave` and the scale index s must be in the range `octaveFirstSubdivision` to `octaveLastSubdivision`.

float const* vl_scalespace_get_level_const | ( | VlScaleSpace const * | self,
|  | vl_index | o,
|  | vl_index | s
| ) |  |

Parameters

  self | object.
  o | octave index.
  s | level index.

Returns
  pointer to the data for octave o, level s.

This function is the same as vl_scalespace_get_level but reutrns a `const` pointer to the data.

double vl_scalespace_get_level_sigma | ( | VlScaleSpace const * | self,
|  | vl_index | o,
|  | vl_index | s
| ) |  |

Parameters

  self | object.
  o | octave index.
  s | sublevel index.

The function returns the scale \(\sigma(o,s)\) as a function of the octave index o and sublevel s.

VlScaleSpaceOctaveGeometry vl_scalespace_get_octave_geometry | ( | VlScaleSpace const * | self,
|  | vl_index | o
| ) |  |

Parameters

  self | object.
  o | octave index.

Returns
  the geometry of octave o.

VlScaleSpace* vl_scalespace_new | ( | vl_size | width,
|  | vl_size | height
| ) |  |

Parameters

  width | image width.
  height | image height.

Returns
  new scale space object.

This function is the same as vl_scalespace_new_with_geometry() but it uses vl_scalespace_get_default_geometry to initialise the geometry of the scale space from the image size.

See also
  vl_scalespace_new_with_geometry(), vl_scalespace_delete().

VlScaleSpace* vl_scalespace_new_copy | ( | VlScaleSpace * | self | ) |

Parameters

  self | object to copy from.

The function returns `NULL` if the copy cannot be made due to an out-of-memory condition.

VlScaleSpace* vl_scalespace_new_shallow_copy | ( | VlScaleSpace * | self | ) |

Parameters

  self | object to copy from.

The function works like vl_scalespace_new_copy() but only allocates the scale space, without actually copying the data.

VlScaleSpace* vl_scalespace_new_with_geometry | ( | VlScaleSpaceGeometry | geom | ) |

Parameters

  geom | scale space geomerty.

Returns
  new scale space object.

If the geometry is not valid (see VlScaleSpaceGeometry), the result is unpredictable.

The function returns `NULL` if it was not possible to allocate the object because of an out-of-memory condition.

See also
  VlScaleSpaceGeometry, vl_scalespace_delete().

void vl_scalespace_put_image | ( | VlScaleSpace * | self,
|  | float const * | image
| ) |  |

Parameters

  self | VlScaleSpace object instance.
  image | image to process.

Compute the data of all the defined octaves and scales of the scale space self.

vl_bool vl_scalespacegeometry_is_equal | ( | VlScaleSpaceGeometry | a,
|  | VlScaleSpaceGeometry | b
| ) |  |

Parameters

  a | first geometry.
  b | second geometry.

Returns
  true if equal.