Namespace of all things related to geometry. More...

Namespaces
namespace	impl
	Implementation namespace of geom namespace.
namespace	internal
Classes
class	complex_geometry
	A functor returning the sites of the faces of a complex where the locations of each 0-face is stored. More...
Functions
template<typename S >
box< typename S::site >	bbox (const Site_Set< S > &pset)
	Compute the precise bounding box of a point set `pset`.
template<typename I >
box< typename I::site >	bbox (const Image< I > &ima)
	Compute the precise bounding box of a point set `pset`.
template<typename W >
box< typename W::psite >	bbox (const Window< W > &win)
	Compute the precise bounding box of a window `win`.
template<typename W >
box< typename W::psite >	bbox (const Weighted_Window< W > &win)
	Compute the precise bounding box of a weighted window `win`.
template<typename I , typename W >
mln::trait::ch_value< I, unsigned >::ret	chamfer (const Image< I > &input_, const W &w_win_, unsigned max=mln_max(unsigned))
	Apply chamfer algorithm to a binary image.
template<typename W >
unsigned	delta (const Window< W > &win)
	Compute the delta of a window `win`.
template<typename W >
unsigned	delta (const Weighted_Window< W > &wwin)
	Compute the delta of a weighted window `wwin`.
template<typename N >
unsigned	delta (const Neighborhood< N > &nbh)
	Compute the delta of a neighborhood `nbh`.
template<typename I >
mln::trait::concrete< I >::ret	horizontal_symmetry (const Image< I > &input)
	Perfoms a horizontal symmetry.
template<typename I >
I::site::coord	max_col (const Image< I > &ima)
	Give the maximum column of an image.
template<typename B >
B::site::coord	max_col (const Box< B > &b)
	Give the maximum col of an box 2d or 3d.
template<typename I >
I::site::coord	max_ind (const Image< I > &ima)
	Give the maximum ind of an image.
template<typename I >
I::site::coord	max_row (const Image< I > &ima)
	Give the maximum row of an image.
template<typename B >
B::site::coord	max_row (const Box< B > &b)
	Give the maximum row of an box 2d or 3d.
template<typename I >
I::site::coord	max_sli (const Image< I > &ima)
	Give the maximum sli of an image.
std::pair< complex_image < 2, mln::space_2complex_geometry, algebra::vec< 3, float > >, complex_image < 2, mln::space_2complex_geometry, float > >	mesh_corner_point_area (const p_complex< 2, space_2complex_geometry > &mesh)
	Compute the area ``belonging'' to normals at vertices.
std::pair< complex_image < 2, mln::space_2complex_geometry, float >, complex_image < 2, mln::space_2complex_geometry, float > >	mesh_curvature (const p_complex< 2, space_2complex_geometry > &mesh)
	Compute the principal curvatures of a surface at vertices.
complex_image < 2, mln::space_2complex_geometry, algebra::vec< 3, float > >	mesh_normal (const p_complex< 2, space_2complex_geometry > &mesh)
	Compute normals at vertices.
template<typename I >
I::site::coord	min_col (const Image< I > &ima)
	Give the minimum column of an image.
template<typename B >
B::site::coord	min_col (const Box< B > &b)
	Give the minimum column of an box 2d or 3d.
template<typename I >
I::site::coord	min_ind (const Image< I > &ima)
	Give the minimum ind of an image.
template<typename I >
I::site::coord	min_row (const Image< I > &ima)
	Give the minimum row of an image.
template<typename B >
B::site::coord	min_row (const Box< B > &b)
	Give the minimum row of an box 2d or 3d.
template<typename I >
I::site::coord	min_sli (const Image< I > &ima)
	Give the minimum sli of an image.
template<typename I >
unsigned	ncols (const Image< I > &ima)
	Give the number of columns of an image.
template<typename B >
unsigned	ncols (const Box< B > &b)
	Give the number of cols of a box 2d or 3d.
template<typename I >
unsigned	ninds (const Image< I > &ima)
	Give the number of inds of an image.
template<typename I >
unsigned	nrows (const Image< I > &ima)
	Give the number of rows of an image.
template<typename B >
unsigned	nrows (const Box< B > &b)
	Give the number of rows of a box 2d or 3d.
template<typename I >
unsigned	nsites (const Image< I > &input)
	Compute the number of sites of the image `input`.
template<typename I >
unsigned	nslis (const Image< I > &ima)
	Give the number of slices of an image.
template<typename S >
void	pmin_pmax (const Site_Set< S > &s, typename S::site &pmin, typename S::site &pmax)
	Compute the minimum and maximum points, `pmin` and `max`, of point set `s`.
template<typename S >
std::pair< typename S::site, typename S::site >	pmin_pmax (const Site_Set< S > &s)
	Compute the minimum and maximum points of point set `s`.
template<typename I >
std::pair< typename I::site, typename I::site >	pmin_pmax (const Site_Iterator< I > &p)
	Compute the minimum and maximum points when browsing with iterator `p`.
template<typename I >
void	pmin_pmax (const Site_Iterator< I > &p, typename I::site &pmin, typename I::site &pmax)
	Compute the minimum and maximum points, `pmin` and `max`, when browsing with iterator `p`.
template<typename I , typename Ext >
mln::trait::concrete< I >::ret	rotate (const Image< I > &input, double angle, const Ext &extension)
template<typename B >
B	rotate (const Box< B > &box, double angle)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. The rotation center `ref` is set to box.pcenter().
template<typename I , typename Ext , typename S >
mln::trait::concrete< I >::ret	rotate (const Image< I > &input, double angle, const Ext &extension, const Site_Set< S > &output_domain)
	Perform a rotation from the center of an image.
template<typename I >
mln::trait::concrete< I >::ret	rotate (const Image< I > &input, double angle)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. Use literal::zero as default value for the extension.
template<typename B >
B	rotate (const Box< B > &box_, double angle, const typename B::site &ref)
	Rotate a box.
template<typename I , typename N >
mln::trait::concrete< I >::ret	seeds2tiling (const Image< I > &ima_, const Neighborhood< N > &nbh)
	Take a labeled image `ima_` with seeds and extend them until creating tiles.
template<typename I , typename V , typename Ext , typename S >
mln::trait::concrete< I >::ret	translate (const Image< I > &input, const algebra::vec< I::site::dim, V > &ref, const Ext &extension, const Site_Set< S > &output_domain)
	Perform a translation from the center of an image.
template<typename I , typename V >
mln::trait::concrete< I >::ret	translate (const Image< I > &input, const algebra::vec< I::site::dim, V > &ref)
	This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. Use literal::zero as default value for the extension.
template<typename I , typename V , typename Ext >
mln::trait::concrete< I >::ret	translate (const Image< I > &input, const algebra::vec< I::site::dim, V > &ref, const Ext &extension)
template<typename I >
mln::trait::concrete< I >::ret	vertical_symmetry (const Image< I > &input)
	Perfoms a vertical symmetry.


template<typename I , typename N >
I	seeds2tiling_roundness (Image< I > &ima_, const w_window2d_int &w_win, unsigned max, const Neighborhood< N > &nbh_)
	Take a labeled image `ima_` with seeds and extend them until creating tiles rounder than the primary version.

Detailed Description

Namespace of all things related to geometry.

Namespace of essential things related to geometry.

Function Documentation

template<typename S >

box< typename S::site > mln::geom::bbox ( const Site_Set< S > & pset ) [inline]

Compute the precise bounding box of a point set pset.

Definition at line 122 of file geom/bbox.hh.

References mln::geom::impl::bbox_(), and mln::exact().

Referenced by bbox(), mln::registration::closest_point_with_map::closest_point_with_map(), mln::transform::distance_and_closest_point_geodesic(), mln::convert::impl::from_site_set_to_image(), mln::convert::over_load::from_to_(), mln::registration::icp(), mln::init_(), mln::io::fld::internal::make_header(), max_col(), max_row(), max_sli(), min_col(), min_row(), min_sli(), mln::debug::println(), mln::debug::println_with_border(), mln::world::binary_2d::projected_histo(), and rotate().

template<typename I >

box< typename I::site > mln::geom::bbox ( const Image & ima )

Compute the precise bounding box of a point set pset.

Definition at line 133 of file geom/bbox.hh.

References bbox(), and mln::exact().

template<typename W >

box< typename W::psite > mln::geom::bbox ( const Window< W > & win )

Compute the precise bounding box of a window win.

Definition at line 143 of file geom/bbox.hh.

References mln::exact(), mln::literal::origin, and mln::accu::shape::bbox::take().

template<typename W >

box< typename W::psite > mln::geom::bbox ( const Weighted_Window< W > & win )

Compute the precise bounding box of a weighted window win.

Definition at line 156 of file geom/bbox.hh.

References bbox(), and mln::exact().

template<typename I , typename W >

mln::trait::ch_value< I, unsigned >::ret mln::geom::chamfer	(	const Image< I > &	input_,
		const W &	w_win_,
		unsigned	max = `mln_max(unsigned)`
	)

Apply chamfer algorithm to a binary image.

Definition at line 113 of file geom/chamfer.hh.

References mln::trace::entering(), mln::exact(), and mln::trace::exiting().

Referenced by mln::geom::impl::seeds2tiling_roundness().

template<typename W >

unsigned mln::geom::delta ( const Window< W > & win )

Compute the delta of a window win.

Definition at line 96 of file delta.hh.

References mln::geom::internal::delta_dispatch(), and mln::exact().

Referenced by mln::extension::adjust(), delta(), mln::morpho::impl::generic::rank_filter(), mln::morpho::impl::rank_filter_directional(), mln::morpho::impl::rank_filter_line(), mln::accu::transform_diagonal(), mln::accu::transform_directional(), and mln::accu::transform_snake().

template<typename W >

unsigned mln::geom::delta ( const Weighted_Window< W > & wwin )

Compute the delta of a weighted window wwin.

Definition at line 105 of file delta.hh.

References delta(), and mln::exact().

template<typename N >

unsigned mln::geom::delta ( const Neighborhood< N > & nbh )

Compute the delta of a neighborhood nbh.

Definition at line 112 of file delta.hh.

References delta(), and mln::exact().

template<typename I >

mln::trait::concrete::ret mln::geom::horizontal_symmetry ( const Image & input )

Perfoms a horizontal symmetry.

Definition at line 172 of file horizontal_symmetry.hh.

References mln::trace::entering(), mln::exact(), mln::trace::exiting(), and mln::geom::internal::horizontal_symmetry_dispatch().

Referenced by mln::geom::internal::horizontal_symmetry_dispatch().

template<typename I >

I::site::coord mln::geom::max_col ( const Image & ima ) [inline]

template<typename B >

B::site::coord mln::geom::max_col ( const Box & b ) [inline]

Give the maximum col of an box 2d or 3d.

Definition at line 67 of file max_col.hh.

References mln::exact().

template<typename I >

I::site::coord mln::geom::max_ind ( const Image & ima ) [inline]

Give the maximum ind of an image.

Definition at line 51 of file max_ind.hh.

References mln::trace::entering(), mln::exact(), and mln::trace::exiting().

Referenced by ninds().

template<typename I >

I::site::coord mln::geom::max_row ( const Image & ima ) [inline]

Give the maximum row of an image.

Definition at line 57 of file max_row.hh.

References bbox(), mln::exact(), and mln::box::pmax().

Referenced by mln::data::impl::fast_median(), mln::linear::impl::generic_filter_(), mln::data::impl::hmedian(), mln::io::magick::load(), mln::io::pfm::internal::load_raw_2d(), mln::io::pbm::internal::load_raw_2d(), mln::io::pnm::load_raw_2d_contiguous(), mln::io::pnm::load_raw_2d_uncontiguous(), mln::data::impl::median_as_procedure(), nrows(), mln::canvas::browsing::snake_vert_t::operator()(), mln::canvas::browsing::snake_fwd_t::operator()(), mln::io::magick::internal::paste_data(), mln::io::magick::internal::paste_data_opacity(), mln::io::pfm::impl::save_(), mln::io::pnm::impl::save_data_contiguous(), mln::io::pnm::impl::save_data_uncontiguous(), mln::bkd_pixter3d::start_(), mln::fwd_pixter3d::start_(), mln::bkd_pixter2d::start_(), and mln::subsampling::impl::subsampling_().

template<typename B >

B::site::coord mln::geom::max_row ( const Box & b ) [inline]

Give the maximum row of an box 2d or 3d.

Definition at line 68 of file max_row.hh.

References mln::exact().

template<typename I >

I::site::coord mln::geom::max_sli ( const Image & ima ) [inline]

Give the maximum sli of an image.

Definition at line 53 of file max_sli.hh.

References bbox(), mln::exact(), and mln::box::pmax().

Referenced by mln::linear::impl::generic_filter_(), nslis(), and mln::bkd_pixter3d::start_().

std::pair< complex_image< 2, mln::space_2complex_geometry, algebra::vec<3, float> >, complex_image< 2, mln::space_2complex_geometry, float > > mln::geom::mesh_corner_point_area ( const p_complex< 2, space_2complex_geometry > & mesh ) [inline]

Compute the area ``belonging'' to normals at vertices.

Inspired from the method Trimesh::need_pointareas of the Trimesh library.

See also:: http://www.cs.princeton.edu/gfx/proj/trimesh2/

From the documentation of Trimesh:

``Compute the area "belonging" to each vertex or each corner of a triangle (defined as Voronoi area restricted to the 1-ring of a vertex, or to the triangle).''

Psites of 0-faces transitively adjacent to F.

The should be exactly three vertices adjacent to F.

Definition at line 249 of file misc.hh.

References mln::data::fill(), mln::norm::l2(), mln::norm::sqr_l2(), mln::algebra::vprod(), and mln::literal::zero.

Referenced by mesh_curvature().

std::pair< complex_image< 2, mln::space_2complex_geometry, float >, complex_image< 2, mln::space_2complex_geometry, float > > mln::geom::mesh_curvature ( const p_complex< 2, space_2complex_geometry > & mesh ) [inline]

Compute the principal curvatures of a surface at vertices.

These princpal curvatures are names kappa_1 and kappa_2 in

Sylvie Philipp-Foliguet, Michel Jordan Laurent Najman and Jean Cousty. Artwork 3D Model Database Indexing and Classification.

Parameters:

[in] mesh The surface (triangle mesh) on which the curvature is to be computed.

Psites of 0-faces transitively adjacent to F.

The should be exactly three vertices adjacent to F.

Definition at line 486 of file misc.hh.

References mln::geom::internal::diagonalize_curv(), mln::algebra::ldlt_decomp(), mln::algebra::ldlt_solve(), mesh_corner_point_area(), mesh_normal(), mln::geom::internal::next(), mln::geom::internal::prev(), mln::geom::internal::proj_curv(), mln::algebra::vprod(), and mln::literal::zero.

complex_image< 2, mln::space_2complex_geometry, algebra::vec<3, float> > mln::geom::mesh_normal ( const p_complex< 2, space_2complex_geometry > & mesh ) [inline]

Compute normals at vertices.

Inspired from the method Trimesh::need_normals of the Trimesh library.

See also:: http://www.cs.princeton.edu/gfx/proj/trimesh2/

For simplicity purpose, and contrary to Trimesh, this routine only compute normals from a mesh, not from a cloud of points.

Psites of 0-faces transitively adjacent to F.

The should be exactly three vertices adjacent to F.

Definition at line 161 of file misc.hh.

References mln::data::fill(), mln::norm::sqr_l2(), mln::algebra::vprod(), and mln::literal::zero.

Referenced by mesh_curvature().

template<typename I >

I::site::coord mln::geom::min_col ( const Image & ima ) [inline]

Give the minimum column of an image.

Definition at line 57 of file min_col.hh.

References bbox(), mln::exact(), and mln::box::pmin().

Referenced by mln::world::binary_2d::impl::enlargex2(), mln::data::impl::fast_median(), mln::linear::impl::generic_filter_(), mln::data::impl::hmedian(), mln::transform::hough(), mln::io::magick::load(), mln::io::pbm::internal::load_raw_2d(), mln::io::pnm::load_raw_2d_uncontiguous(), mln::data::impl::median_as_procedure(), ncols(), mln::canvas::browsing::snake_vert_t::operator()(), mln::canvas::browsing::snake_fwd_t::operator()(), mln::io::magick::internal::paste_data(), mln::io::magick::internal::paste_data_opacity(), mln::io::pnm::impl::save_data_contiguous(), mln::io::pnm::impl::save_data_uncontiguous(), mln::bkd_pixter3d::start_(), mln::bkd_pixter2d::start_(), and mln::subsampling::impl::subsampling_().

template<typename B >

B::site::coord mln::geom::min_col ( const Box & b ) [inline]

Give the minimum column of an box 2d or 3d.

Definition at line 68 of file min_col.hh.

References mln::exact().

template<typename I >

I::site::coord mln::geom::min_ind ( const Image & ima ) [inline]

Give the minimum ind of an image.

Definition at line 51 of file min_ind.hh.

References mln::trace::entering(), mln::exact(), and mln::trace::exiting().

Referenced by ninds().

template<typename I >

I::site::coord mln::geom::min_row ( const Image & ima ) [inline]

Give the minimum row of an image.

Definition at line 60 of file min_row.hh.

References bbox(), mln::exact(), and mln::box::pmin().

Referenced by mln::world::binary_2d::impl::enlargex2(), mln::data::impl::fast_median(), mln::linear::impl::generic_filter_(), mln::data::impl::hmedian(), mln::transform::hough(), mln::io::magick::load(), mln::io::pfm::internal::load_raw_2d(), mln::io::pbm::internal::load_raw_2d(), mln::io::pnm::load_raw_2d_contiguous(), mln::io::pnm::load_raw_2d_uncontiguous(), mln::data::impl::median_as_procedure(), nrows(), mln::canvas::browsing::snake_vert_t::operator()(), mln::canvas::browsing::snake_fwd_t::operator()(), mln::io::magick::internal::paste_data(), mln::io::magick::internal::paste_data_opacity(), mln::io::pfm::impl::save_(), mln::io::pnm::impl::save_data_contiguous(), mln::io::pnm::impl::save_data_uncontiguous(), mln::bkd_pixter3d::start_(), mln::fwd_pixter3d::start_(), mln::fwd_pixter2d::start_(), and mln::subsampling::impl::subsampling_().

template<typename B >

B::site::coord mln::geom::min_row ( const Box & b ) [inline]

Give the minimum row of an box 2d or 3d.

Definition at line 71 of file min_row.hh.

References mln::exact().

template<typename I >

I::site::coord mln::geom::min_sli ( const Image & ima ) [inline]

Give the minimum sli of an image.

Definition at line 53 of file min_sli.hh.

References bbox(), mln::exact(), and mln::box::pmin().

Referenced by mln::linear::impl::generic_filter_(), nslis(), and mln::fwd_pixter3d::start_().

template<typename I >

unsigned mln::geom::ncols ( const Image & ima ) [inline]

Give the number of columns of an image.

Definition at line 57 of file ncols.hh.

References mln::exact(), max_col(), and min_col().

Referenced by mln::labeling::impl::compute_fastest(), mln::linear::gaussian_directional_2d(), mln::subsampling::gaussian_subsampling(), mln::linear::gaussian::impl::generic_filter_(), mln::linear::impl::generic_filter_(), mln::geom::impl::generic::horizontal_symmetry(), mln::geom::impl::horizontal_symmetry_fastest(), mln::transform::hough(), mln::io::pfm::internal::load_raw_2d(), mln::io::pnm::load_raw_2d_contiguous(), ncols(), mln::io::magick::internal::paste_data(), mln::io::magick::internal::paste_data_opacity(), mln::world::binary_2d::projected_histo(), mln::io::magick::save(), mln::io::pfm::impl::save_(), mln::io::pbm::impl::save_(), mln::io::pnm::impl::save_data_contiguous(), mln::io::pnm::save_header(), mln::subsampling::subsampling(), mln::subsampling::impl::subsampling_(), mln::convert::impl::to_qimage_nocopy_qt_rgb32(), mln::convert::impl::to_qimage_qt_rgb32(), mln::convert::impl::to_qimage_rgb8(), mln::convert::impl::to_qimage_scalar(), mln::geom::impl::generic::vertical_symmetry(), and mln::geom::impl::vertical_symmetry_fastest().

template<typename B >

unsigned mln::geom::ncols ( const Box & b )

Give the number of cols of a box 2d or 3d.

Definition at line 67 of file ncols.hh.

References max_col(), min_col(), and ncols().

template<typename I >

unsigned mln::geom::ninds ( const Image & ima ) [inline]

Give the number of inds of an image.

Definition at line 52 of file ninds.hh.

References mln::trace::entering(), mln::exact(), mln::trace::exiting(), max_ind(), and min_ind().

Referenced by mln::linear::gaussian_1d(), mln::linear::gaussian::impl::generic_filter_(), and mln::linear::impl::generic_filter_().

template<typename I >

unsigned mln::geom::nrows ( const Image & ima ) [inline]

template<typename B >

unsigned mln::geom::nrows ( const Box & b )

Give the number of rows of a box 2d or 3d.

Definition at line 66 of file nrows.hh.

References max_row(), min_row(), and nrows().

template<typename I >

unsigned mln::geom::nsites ( const Image & input ) [inline]

Compute the number of sites of the image input.

Definition at line 52 of file nsites.hh.

References mln::set::internal::card_dispatch(), mln::trace::entering(), mln::exact(), and mln::trace::exiting().

Referenced by mln::morpho::tree::impl::dual_hqueue(), mln::morpho::tree::impl::generic::dual_union_find(), mln::world::inter_pixel::full2image(), mln::world::inter_pixel::immerse(), pmin_pmax(), mln::data::impl::sort_offsets_decreasing_radix(), mln::data::impl::sort_offsets_increasing_radix(), mln::data::impl::sort_psites_decreasing_(), and mln::data::impl::sort_psites_increasing_().

template<typename I >

unsigned mln::geom::nslis ( const Image & ima ) [inline]

Give the number of slices of an image.

Definition at line 53 of file nslis.hh.

References mln::exact(), max_sli(), and min_sli().

Referenced by mln::linear::gaussian::impl::generic_filter_(), and mln::linear::impl::generic_filter_().

template<typename S >

std::pair< typename S::site, typename S::site > mln::geom::pmin_pmax ( const Site_Set< S > & s ) [inline]

Compute the minimum and maximum points of point set s.

Definition at line 157 of file pmin_pmax.hh.

References mln::exact(), and nsites().

Referenced by pmin_pmax(), and mln::geom::impl::pmin_pmax_().

template<typename S >

void mln::geom::pmin_pmax	(	const Site_Set< S > &	s,
		typename S::site &	pmin,
		typename S::site &	pmax
	)			`[inline]`

Compute the minimum and maximum points, pmin and max, of point set s.

Definition at line 148 of file pmin_pmax.hh.

References mln::exact(), nsites(), and mln::geom::impl::pmin_pmax_().

template<typename I >

std::pair< typename I::site, typename I::site > mln::geom::pmin_pmax ( const Site_Iterator & p ) [inline]

Compute the minimum and maximum points when browsing with iterator p.

Definition at line 106 of file pmin_pmax.hh.

References pmin_pmax().

template<typename I >

void mln::geom::pmin_pmax	(	const Site_Iterator< I > &	p,
		typename I::site &	pmin,
		typename I::site &	pmax
	)			`[inline]`

Compute the minimum and maximum points, pmin and max, when browsing with iterator p.

Definition at line 84 of file pmin_pmax.hh.

References mln::exact().

template<typename I >

mln::trait::concrete< I >::ret mln::geom::rotate	(	const Image< I > &	input,
		double	angle
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. Use literal::zero as default value for the extension.

Definition at line 197 of file rotate.hh.

References rotate(), and mln::literal::zero.

template<typename I , typename Ext >

mln::trait::concrete< I >::ret mln::geom::rotate	(	const Image< I > &	input,
		double	angle,
		const Ext &	extension
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Definition at line 185 of file rotate.hh.

References rotate().

template<typename B >

B mln::geom::rotate	(	const Box< B > &	box,
		double	angle
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. The rotation center ref is set to box.pcenter().

Definition at line 252 of file rotate.hh.

References mln::exact(), and rotate().

template<typename I , typename Ext , typename S >

mln::trait::concrete< I >::ret mln::geom::rotate	(	const Image< I > &	input,
		double	angle,
		const Ext &	extension,
		const Site_Set< S > &	output_domain
	)

Perform a rotation from the center of an image.

Parameters:

`[in]`	input	An image.
`[in]`	angle	An angle in degrees.
`[in]`	extension	Function, image or value which will be used as extension. This extension allows to map values to sites which where not part of the domain before the rotation.
`[in]`	output_domain	The domain of the output image. An invalid domain, causes the routine to use a domain large enough to display the whole original image.

Returns:: An image with the same domain as input.

Definition at line 123 of file rotate.hh.

References bbox(), mln::compose(), mln::duplicate(), mln::trace::entering(), mln::exact(), mln::trace::exiting(), mln::initialize(), mln::mln_exact(), mln::literal::origin, mln::data::paste(), mln::box::pcenter(), mln::math::pi, and mln::transposed_image().

Referenced by rotate().

template<typename B >

B mln::geom::rotate	(	const Box< B > &	box_,
		double	angle,
		const typename B::site &	ref
	)

Rotate a box.

FIXME: the return type may be too generic and may lead to invalid covariance.

Definition at line 205 of file rotate.hh.

References mln::compose(), mln::trace::entering(), mln::exact(), mln::trace::exiting(), mln::literal::origin, mln::math::pi, mln::accu::shape::bbox::take(), and mln::accu::shape::bbox::to_result().

template<typename I , typename N >

mln::trait::concrete< I >::ret mln::geom::seeds2tiling	(	const Image< I > &	ima_,
		const Neighborhood< N > &	nbh
	)			`[inline]`

Take a labeled image ima_ with seeds and extend them until creating tiles.

Parameters:

`[in,out]`	ima_	The labeled image with seed.
`[in]`	nbh	The neighborhood to use on this algorithm.

Returns:: A tiled image.

Precondition:: ima_ has to be initialized.

Definition at line 136 of file seeds2tiling.hh.

References mln::trace::entering(), mln::exact(), mln::trace::exiting(), and mln::geom::impl::seeds2tiling().

template<typename I , typename N >

I mln::geom::seeds2tiling_roundness	(	Image< I > &	ima_,
		const w_window2d_int &	w_win,
		unsigned	max,
		const Neighborhood< N > &	nbh_
	)			`[inline]`

Take a labeled image ima_ with seeds and extend them until creating tiles rounder than the primary version.

Parameters:

`[in,out]`	ima_	The labeled image with seed.
`[in]`	w_win	The weight window using by geom::chamfer to compute distance.
`[in]`	max	Unsigned using by geom::chamfer to compute the distance.
`[in]`	nbh_	The neighborhood to use on this algorithm.

Precondition:: ima_ has to be initialized.

Definition at line 128 of file seeds2tiling_roundness.hh.

References mln::trace::entering(), mln::exact(), mln::trace::exiting(), and mln::geom::impl::seeds2tiling_roundness().

template<typename I , typename V >

mln::trait::concrete< I >::ret mln::geom::translate	(	const Image< I > &	input,
		const algebra::vec< I::site::dim, V > &	ref
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. Use literal::zero as default value for the extension.

Definition at line 146 of file translate.hh.

References translate(), and mln::literal::zero.

template<typename I , typename V , typename Ext , typename S >

mln::trait::concrete< I >::ret mln::geom::translate	(	const Image< I > &	input,
		const algebra::vec< I::site::dim, V > &	ref,
		const Ext &	extension,
		const Site_Set< S > &	output_domain
	)

Perform a translation from the center of an image.

Parameters:

`[in]`	input	An image.
`[in]`	ref	The translation vector.
`[in]`	extension	Function, image or value which will be used as extension. This extension allows to map values to sites which where not part of the domain before the translation.
`[in]`	output_domain	The domain of the output image. An invalid domain, causes the routine to use the translated input_ domain.