Bial::Geometrics Namespace Reference

Functions
template<class D >
Image< D >	AffineTransform (const Image< D > &img, const Matrix< float > &transform)
	Applies affine transformation to an image, using the matrix of transformation. More...
template<class D >
Image< D >	AffineTransform (const Image< D > &img, const Matrix< float > &transform, const PixelInterpolation &interpolation)
	Applies affine transformation to an image, using the matrix of transformation. More...
template<class D >
Image< D >	Rotate (const Image< D > &img, float rad, size_t dms=2)
	Rotates a image. More...
template<class D >
Image< D >	Rotate (const Image< D > &img, const PixelInterpolation &interpolation, float rad, size_t dms=2)
	Rotates a image. More...
Matrix< float >	Rotate (double rad, size_t dms=2)
	Generates a transformation corresponding to a rotation. More...
Matrix< float >	Rotate (Matrix< float > &source, double rad, size_t dms=2)
	Generates a composite transformation of the rotation applyed over source matrix. More...
template<class D >
Image< D >	Scale (const Image< D > &img, double factor, bool resize=false)
	Scales a image. More...
template<class D >
Image< D >	Scale (const Image< D > &img, const PixelInterpolation &interpolation, double factor, bool resize=false)
	Scales a image. More...
template<class D >
Image< D >	Scale (const Image< D > &img, double fx, double fy, double fz=1.0, bool resize=false)
	Scales a image. More...
template<class D >
Image< D >	Scale (const Image< D > &img, const PixelInterpolation &interpolation, double fx, double fy, double fz=1.0, bool resize=false)
	Scales a image. More...
template<class D >
Image< D >	Scale (const Image< D > &img, const Vector< size_t > &dims)
	Scales a image. More...
template<class D >
Image< D >	Scale (const Image< D > &img, const PixelInterpolation &interpolation, const Vector< size_t > &dims)
	Scales a image. More...
Matrix< float >	Scale (double fx, double fy, double fz=1.0)
	Generates a transformation corresponding to a scaling. More...
Matrix< float >	Scale (Matrix< float > &source, double fx, double fy, double fz=1.0)
	Generates a composite transformation of the scaling applyed over source matrix. More...
template<class D >
Image< D >	Shear (const Image< D > &img, double s_xy, double s_yx, double s_xz=0.0, double s_yz=0.0, double s_zx=0.0, double s_zy=0.0)
	Shears an image. More...
template<class D >
Image< D >	Shear (const Image< D > &img, const PixelInterpolation &interpolation, double s_xy, double s_yx, double s_xz=0.0, double s_yz=0.0, double s_zx=0.0, double s_zy=0.0)
	Shears an image. More...
Matrix< float >	Shear (double s_xy, double s_yx, double s_xz=0.0, double s_yz=0.0, double s_zx=0.0, double s_zy=0.0)
	Generates a transformation corresponding to a shear. More...
Matrix< float >	Shear (Matrix< float > &source, double s_xy, double s_yx, double s_xz=0.0, double s_yz=0.0, double s_zx=0.0, double s_zy=0.0)
	Generates a composite transformation of the shear applyed over source matrix. More...
template<class D >
Image< D >	Translate (const Image< D > &img, double dx, double dy, double dz=0)
	Translates a image. More...
template<class D >
Image< D >	Translate (const Image< D > &img, const PixelInterpolation &interpolation, double dx, double dy, double dz=0)
	Translates a image. More...
Matrix< float >	Translate (double dx, double dy, double dz=0)
	Generates a transformation corresponding to a translation. More...
Matrix< float >	Translate (Matrix< float > &source, double dx, double dy, double dz=0)
	Generates a composite transformation of the translation applyed over source matrix. More...

Function Documentation

template<class D >

Image< D > Bial::Geometrics::AffineTransform	(	const Image< D > &	img,
		const Matrix< float > &	transform
	)

Applies affine transformation to an image, using the matrix of transformation.

Date

2014/Jun/08

Parameters

img	Input image.
transform	Affine transformation matrix.

Returns

A transformated image.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::AffineTransform	(	const Image< D > &	img,
		const Matrix< float > &	transform,
		const PixelInterpolation &	interpolation
	)

Applies affine transformation to an image, using the matrix of transformation.

Date

2014/Jun/08

Parameters

img	Input image.
transform	Affine transformation matrix.
interpolation	Pixel interpolation to be used.

Returns

A transformated image.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Rotate	(	const Image< D > &	img,
		float	rad,
		size_t	dms = 2
	)

Rotates a image.

Date

2014/Jun/08

Parameters

img	Input image.
rad	Rotation in radians.
dms	Rotation dimension. Default: 2 to rotate around z axis.

Returns

A rotated image in rad radians with linear interpolation.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Rotate	(	const Image< D > &	img,
		const PixelInterpolation &	interpolation,
		float	rad,
		size_t	dms = 2
	)

Rotates a image.

Date

2014/Jun/08

Parameters

img	Input image.
interpolation	Pixel interpolation to be used.
rad	Rotation in radians.
dms	Rotation dimension. Default: 2 to rotate around z axis.

Returns

A rotated image.

Warning

none.

Matrix< float > Bial::Geometrics::Rotate	(	double	rad,
		size_t	dms = 2
	)

Generates a transformation corresponding to a rotation.

Date

2014/May/27

Parameters

rad	Rotation in radians
dms	Rotation dimension. Default: 2 to rotate around z axis.

Returns

The affine transformation corresponding to a rotation.

Warning

none.

Matrix< float > Bial::Geometrics::Rotate	(	Matrix< float > &	source,
		double	rad,
		size_t	dms = 2
	)

Generates a composite transformation of the rotation applyed over source matrix.

Date

2014/May/27

Parameters

source	Initial affine transformation over which rotation is applyed.
rad	Rotation in radians
dms	Rotation dimension. Default: 2 to rotate around z axis.

Returns

The affine transformation corresponding to a rotation applyed over source matrix.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Scale	(	const Image< D > &	img,
		double	factor,
		bool	resize = false
	)

Scales a image.

Date

2014/Jan/07

Parameters

img	Input image.
factor	Scaling factor. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
resize	resize the resultant image.

Returns

A scaled image with linear interpolation.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Scale	(	const Image< D > &	img,
		const PixelInterpolation &	interpolation,
		double	factor,
		bool	resize = false
	)

Scales a image.

Date

2014/Jan/07

Parameters

img	Input image.
interpolation	Pixel interpolation to be used.
factor	Scaling factor. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
resize	resize the resultant image.

Returns

A scaled image.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Scale	(	const Image< D > &	img,
		double	fx,
		double	fy,
		double	fz = 1.0,
		bool	resize = false
	)

Scales a image.

Date

2014/Aug/16

Parameters

img	Input image.
fx	Scaling factor in X. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
fy	Scaling factor in Y. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
fz	Scaling factor in Z. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
resize	resize the resultant image.

Returns

A scaled image with linear interpolation.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Scale	(	const Image< D > &	img,
		const PixelInterpolation &	interpolation,
		double	fx,
		double	fy,
		double	fz = 1.0,
		bool	resize = false
	)

Scales a image.

Date

2014/Aug/16

Parameters

img	Input image.
interpolation	Pixel interpolation to be used.
fx	Scaling factor in X. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
fy	Scaling factor in Y. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
fz	Scaling factor in Z. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
resize	resize the resultant image.

Returns

A scaled image.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Scale	(	const Image< D > &	img,
		const Vector< size_t > &	dims
	)

Scales a image.

Date

2014/Jan/07

Parameters

img	Input image.
dims	Resulting image dimensions.

Returns

A scaled image with linear interpolation.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Scale	(	const Image< D > &	img,
		const PixelInterpolation &	interpolation,
		const Vector< size_t > &	dims
	)

Scales a image.

Date

2014/Jan/07

Parameters

img	Input image.
interpolation	Pixel interpolation to be used.
dims	Resulting image dimensions.

Returns

A scaled image.

Warning

none.

Matrix< float > Bial::Geometrics::Scale	(	double	fx,
		double	fy,
		double	fz = 1.0
	)

Generates a transformation corresponding to a scaling.

Date

2014/Jun/26

Parameters

img	Input image.
fx	Scaling factor in X. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
fy	Scaling factor in Y. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
fz	Scaling factor in Z. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.

Returns

The affine transformation corresponding to a scaling.

Warning

none.

Matrix< float > Bial::Geometrics::Scale	(	Matrix< float > &	source,
		double	fx,
		double	fy,
		double	fz = 1.0
	)

Generates a composite transformation of the scaling applyed over source matrix.

Date

2014/Jun/26

Parameters

img	Input image.
source	Initial affine transformation over which scaling is applyed.
fx	Scaling factor in X. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
fy	Scaling factor in Y. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.
fz	Scaling factor in Z. If greater than 1.0, image is dilated. If lower than 1.0, image is compressed.

Returns

The affine transformation corresponding to a scaling applyed over source matrix.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Shear	(	const Image< D > &	img,
		double	s_xy,
		double	s_yx,
		double	s_xz = 0.0,
		double	s_yz = 0.0,
		double	s_zx = 0.0,
		double	s_zy = 0.0
	)

Shears an image.

Date

2014/Jun/08

Parameters

img	Input image.
s_xy	Shearing in axis X with respect to axis Y.
s_yx	Shearing in axis Y with respect to axis X.
s_xz	Shearing in axis X with respect to axis Z.
s_yz	Shearing in axis Y with respect to axis Z.
s_zx	Shearing in axis Z with respect to axis X.
s_zy	Shearing in axis Z with respect to axis Y.

Returns

A Sheared image with linear interpolation.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Shear	(	const Image< D > &	img,
		const PixelInterpolation &	interpolation,
		double	s_xy,
		double	s_yx,
		double	s_xz = 0.0,
		double	s_yz = 0.0,
		double	s_zx = 0.0,
		double	s_zy = 0.0
	)

Shears an image.

Date

2014/Jun/08

Parameters

img	Input image.
interpolation	Pixel interpolation to be used.
s_xy	Shearing in axis X with respect to axis Y.
s_yx	Shearing in axis Y with respect to axis X.
s_xz	Shearing in axis X with respect to axis Z.
s_yz	Shearing in axis Y with respect to axis Z.
s_zx	Shearing in axis Z with respect to axis X.
s_zy	Shearing in axis Z with respect to axis Y.

Returns

A Sheared image.

Warning

none.

Matrix< float > Bial::Geometrics::Shear	(	double	s_xy,
		double	s_yx,
		double	s_xz = 0.0,
		double	s_yz = 0.0,
		double	s_zx = 0.0,
		double	s_zy = 0.0
	)

Generates a transformation corresponding to a shear.

Date

2014/Jun/08

Parameters

s_xy	Shearing in axis X with respect to axis Y.
s_yx	Shearing in axis Y with respect to axis X.
s_xz	Shearing in axis X with respect to axis Z.
s_yz	Shearing in axis Y with respect to axis Z.
s_zx	Shearing in axis Z with respect to axis X.
s_zy	Shearing in axis Z with respect to axis Y.

Returns

The affine transform corresponding to a shear.

Warning

none.

Matrix< float > Bial::Geometrics::Shear	(	Matrix< float > &	source,
		double	s_xy,
		double	s_yx,
		double	s_xz = 0.0,
		double	s_yz = 0.0,
		double	s_zx = 0.0,
		double	s_zy = 0.0
	)

Generates a composite transformation of the shear applyed over source matrix.

Date

2014/Jun/08

Parameters

s_xy	Shearing in axis X with respect to axis Y.
s_yx	Shearing in axis Y with respect to axis X.
s_xz	Shearing in axis X with respect to axis Z.
s_yz	Shearing in axis Y with respect to axis Z.
s_zx	Shearing in axis Z with respect to axis X.
s_zy	Shearing in axis Z with respect to axis Y.

Returns

The affine transformation corresponding to a shear applyed over source matrix.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Translate	(	const Image< D > &	img,
		double	dx,
		double	dy,
		double	dz = 0
	)

Translates a image.

Date

2014/Jun/08

Parameters

img	Input image.
dx	Displacement in X
dy	Displacement in Y
dz	Displacement in Z

Returns

A translated image with linear interpolation.

Warning

none.

template<class D >

Image< D > Bial::Geometrics::Translate	(	const Image< D > &	img,
		const PixelInterpolation &	interpolation,
		double	dx,
		double	dy,
		double	dz = 0
	)

Translates a image.

Date

2014/Jun/08

Parameters

img	Input image.
interpolation	Pixel interpolation to be used.
dx	Displacement in X
dy	Displacement in Y
dz	Displacement in Z

Returns

A translated image.

Warning

none.

Matrix< float > Bial::Geometrics::Translate	(	double	dx,
		double	dy,
		double	dz = 0
	)

Generates a transformation corresponding to a translation.

Date

2014/Jun/08

Parameters

source	Initial affine transformation over which translation is applyed.
dx	Displacement in X
dy	Displacement in Y
dz	Displacement in Z

Returns

The affine transformation corresponding to a translation.

Warning

none.

Matrix< float > Bial::Geometrics::Translate	(	Matrix< float > &	source,
		double	dx,
		double	dy,
		double	dz = 0
	)

Generates a composite transformation of the translation applyed over source matrix.

Date

2014/Jun/08

Parameters

source	Initial affine transformation over which translation is applyed.
dx	Displacement in X
dy	Displacement in Y
dz	Displacement in Z

Returns

The affine transformation corresponding to a translation applyed over source matrix.

Warning

none.