Namespace of all things related to geometry. More...
Namespaces | |
| namespace | impl |
Implementation namespace of geom namespace. | |
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. | |
Namespace of all things related to geometry.
Namespace of essential things related to geometry.
| 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.
Referenced by bbox(), mln::transform::distance_and_closest_point_geodesic(), mln::registration::icp(), max_col(), max_row(), max_sli(), min_col(), min_row(), min_sli(), mln::debug::println(), mln::debug::println_with_border(), and rotate().
| box< typename I::site > mln::geom::bbox | ( | const Image< I > & | ima | ) |
Compute the precise bounding box of a point set pset.
Definition at line 133 of file geom/bbox.hh.
References bbox().
| 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::literal::origin.
| 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().
| 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.
| unsigned mln::geom::delta | ( | const Window< W > & | win | ) |
Compute the delta of a window win.
Definition at line 96 of file delta.hh.
Referenced by mln::extension::adjust(), and delta().
| unsigned mln::geom::delta | ( | const Weighted_Window< W > & | wwin | ) |
| unsigned mln::geom::delta | ( | const Neighborhood< N > & | nbh | ) |
| mln::trait::concrete< I >::ret mln::geom::horizontal_symmetry | ( | const Image< I > & | input | ) |
Perfoms a horizontal symmetry.
Definition at line 172 of file horizontal_symmetry.hh.
| I::site::coord mln::geom::max_col | ( | const Image< I > & | ima | ) | [inline] |
Give the maximum column of an image.
Definition at line 56 of file max_col.hh.
References bbox().
Referenced by mln::io::magick::load(), and ncols().
| B::site::coord mln::geom::max_col | ( | const Box< B > & | b | ) | [inline] |
Give the maximum col of an box 2d or 3d.
Definition at line 67 of file max_col.hh.
| I::site::coord mln::geom::max_ind | ( | const Image< I > & | ima | ) | [inline] |
| I::site::coord mln::geom::max_row | ( | const Image< I > & | ima | ) | [inline] |
Give the maximum row of an image.
Definition at line 57 of file max_row.hh.
References bbox().
Referenced by mln::io::magick::load(), and nrows().
| B::site::coord mln::geom::max_row | ( | const Box< B > & | b | ) | [inline] |
Give the maximum row of an box 2d or 3d.
Definition at line 68 of file max_row.hh.
| I::site::coord mln::geom::max_sli | ( | const Image< I > & | ima | ) | [inline] |
Give the maximum sli of an image.
Definition at line 53 of file max_sli.hh.
References bbox().
Referenced by nslis().
| 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.
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).''
Definition at line 249 of file misc.hh.
References mln::data::fill(), 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.
| [in] | mesh | The surface (triangle mesh) on which the curvature is to be computed. |
Definition at line 486 of file misc.hh.
References mln::algebra::ldlt_decomp(), mln::algebra::ldlt_solve(), mesh_corner_point_area(), mesh_normal(), 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.
For simplicity purpose, and contrary to Trimesh, this routine only compute normals from a mesh, not from a cloud of points.
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().
| I::site::coord mln::geom::min_col | ( | const Image< I > & | ima | ) | [inline] |
Give the minimum column of an image.
Definition at line 57 of file min_col.hh.
References bbox().
Referenced by mln::transform::hough(), mln::io::magick::load(), and ncols().
| B::site::coord mln::geom::min_col | ( | const Box< B > & | b | ) | [inline] |
Give the minimum column of an box 2d or 3d.
Definition at line 68 of file min_col.hh.
| I::site::coord mln::geom::min_ind | ( | const Image< I > & | ima | ) | [inline] |
| I::site::coord mln::geom::min_row | ( | const Image< I > & | ima | ) | [inline] |
Give the minimum row of an image.
Definition at line 60 of file min_row.hh.
References bbox().
Referenced by mln::transform::hough(), mln::io::magick::load(), and nrows().
| B::site::coord mln::geom::min_row | ( | const Box< B > & | b | ) | [inline] |
Give the minimum row of an box 2d or 3d.
Definition at line 71 of file min_row.hh.
| I::site::coord mln::geom::min_sli | ( | const Image< I > & | ima | ) | [inline] |
Give the minimum sli of an image.
Definition at line 53 of file min_sli.hh.
References bbox().
Referenced by nslis().
| unsigned mln::geom::ncols | ( | const Image< I > & | ima | ) | [inline] |
Give the number of columns of an image.
Definition at line 57 of file ncols.hh.
References max_col(), and min_col().
Referenced by mln::labeling::impl::compute_fastest(), mln::subsampling::gaussian_subsampling(), mln::transform::hough(), ncols(), mln::io::magick::save(), and mln::subsampling::subsampling().
| unsigned mln::geom::ncols | ( | const Box< B > & | b | ) |
| unsigned mln::geom::ninds | ( | const Image< I > & | ima | ) | [inline] |
| unsigned mln::geom::nrows | ( | const Image< I > & | ima | ) | [inline] |
Give the number of rows of an image.
Definition at line 57 of file nrows.hh.
References max_row(), and min_row().
Referenced by mln::subsampling::gaussian_subsampling(), mln::transform::hough(), nrows(), mln::io::magick::save(), and mln::subsampling::subsampling().
| unsigned mln::geom::nrows | ( | const Box< B > & | b | ) |
| unsigned mln::geom::nsites | ( | const Image< I > & | input | ) | [inline] |
Compute the number of sites of the image input.
Definition at line 52 of file nsites.hh.
Referenced by pmin_pmax().
| unsigned mln::geom::nslis | ( | const Image< I > & | ima | ) | [inline] |
| 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 nsites().
| 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 nsites().
Referenced by pmin_pmax().
| std::pair< typename I::site, typename I::site > mln::geom::pmin_pmax | ( | const Site_Iterator< I > & | 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().
| 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.
| mln::trait::concrete< I >::ret mln::geom::rotate | ( | const Image< I > & | input, | |
| double | angle, | |||
| const Ext & | extension | |||
| ) |
| 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 rotate().
| 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.
| [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. |
input. Definition at line 123 of file rotate.hh.
References bbox(), mln::compose(), mln::duplicate(), mln::initialize(), mln::mln_exact(), mln::literal::origin, and mln::data::paste().
Referenced by rotate().
| 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.
| 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::literal::origin, and mln::accu::shape::bbox< P >::to_result().
| 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.
| [in,out] | ima_ | The labeled image with seed. |
| [in] | nbh | The neighborhood to use on this algorithm. |
ima_ has to be initialized. Definition at line 136 of file seeds2tiling.hh.
References mln::geom::impl::seeds2tiling().
| 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.
| [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. |
input. Definition at line 99 of file translate.hh.
References mln::extend(), mln::data::fill(), and mln::mln_exact().
Referenced by translate().
| 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.
| mln::trait::concrete< I >::ret mln::geom::translate | ( | const Image< I > & | input, | |
| const algebra::vec< I::site::dim, V > & | ref, | |||
| 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 132 of file translate.hh.
References translate().
| mln::trait::concrete< I >::ret mln::geom::vertical_symmetry | ( | const Image< I > & | input | ) |
Perfoms a vertical symmetry.
Definition at line 174 of file vertical_symmetry.hh.
1.7.1