This commit is contained in:
Andreas Fabri 2016-11-14 19:35:46 +01:00 committed by Mael Rouxel-Labbé
parent a8f82f4382
commit 59a04915db
9 changed files with 50 additions and 50 deletions

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@ -129,7 +129,7 @@ Such border parameterizations are described in Section
\subsubsection Surface_mesh_parameterizationTutteBarycentric Tutte Barycentric Mapping \subsubsection Surface_mesh_parameterizationTutteBarycentric Tutte Barycentric Mapping
`CGAL::Surface_mesh_parameterization::Barycentric_mapping_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` `Surface_mesh_parameterization::Barycentric_mapping_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`
The Barycentric Mapping parameterization method has been introduced by The Barycentric Mapping parameterization method has been introduced by
Tutte \cgalCite{t-hdg-63}. In parameter space, each vertex is Tutte \cgalCite{t-hdg-63}. In parameter space, each vertex is
@ -150,7 +150,7 @@ Left: Tutte barycentric mapping parameterization (the red line depicts the cut g
\subsubsection Surface_mesh_parameterizationDiscreteConformal Discrete Conformal Map \subsubsection Surface_mesh_parameterizationDiscreteConformal Discrete Conformal Map
`CGAL::Surface_mesh_parameterization::Discrete_conformal_map_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` `Surface_mesh_parameterization::Discrete_conformal_map_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`
Discrete conformal map parameterization has been introduced to the graphics community Discrete conformal map parameterization has been introduced to the graphics community
by Eck et al. \cgalCite{cgal:eddhls-maam-95}. It attempts to by Eck et al. \cgalCite{cgal:eddhls-maam-95}. It attempts to
@ -172,7 +172,7 @@ Left: discrete conformal map. Right: parameter space.
\subsubsection Surface_mesh_parameterizationFloaterMean Floater Mean Value Coordinates \subsubsection Surface_mesh_parameterizationFloaterMean Floater Mean Value Coordinates
`CGAL::Surface_mesh_parameterization::Mean_value_coordinates_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` `Surface_mesh_parameterization::Mean_value_coordinates_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`
The mean value coordinates parameterization method has been introduced The mean value coordinates parameterization method has been introduced
by Floater \cgalCite{cgal:f-mvc-03}. Each vertex in parameter space is by Floater \cgalCite{cgal:f-mvc-03}. Each vertex in parameter space is
@ -190,7 +190,7 @@ Floater Mean Value Coordinates
\subsubsection Surface_mesh_parameterizationDiscreteAuthalic Discrete Authalic Parameterization \subsubsection Surface_mesh_parameterizationDiscreteAuthalic Discrete Authalic Parameterization
`CGAL::Surface_mesh_parameterization::Discrete_authalic_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` `Surface_mesh_parameterization::Discrete_authalic_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`
The discrete authalic parameterization method has been introduced by The discrete authalic parameterization method has been introduced by
Desbrun et al. \cgalCite{cgal:dma-ipsm-02}. It corresponds to Desbrun et al. \cgalCite{cgal:dma-ipsm-02}. It corresponds to
@ -239,10 +239,10 @@ All combinations of uniform/arc-length and circle/square are provided by
the following classes: the following classes:
<UL> <UL>
<LI>`CGAL::Surface_mesh_parameterization::Circular_border_arc_length_parameterizer_3<TriangleMesh>` <LI>`Surface_mesh_parameterization::Circular_border_arc_length_parameterizer_3<TriangleMesh>`
<LI>`CGAL::Surface_mesh_parameterization::Circular_border_uniform_parameterizer_3<TriangleMesh>` <LI>`Surface_mesh_parameterization::Circular_border_uniform_parameterizer_3<TriangleMesh>`
<LI>`CGAL::Surface_mesh_parameterization::Square_border_arc_length_parameterizer_3<TriangleMesh>` <LI>`Surface_mesh_parameterization::Square_border_arc_length_parameterizer_3<TriangleMesh>`
<LI>`CGAL::Surface_mesh_parameterization::Square_border_uniform_parameterizer_3<TriangleMesh>` <LI>`Surface_mesh_parameterization::Square_border_uniform_parameterizer_3<TriangleMesh>`
</UL> </UL>
An illustration of the use of different border parameterizers can be found in the An illustration of the use of different border parameterizers can be found in the
@ -252,7 +252,7 @@ example `Surface_mesh_parameterization/square_border_parameterizer.cpp`.
\subsubsection Surface_mesh_parameterizationLeastSquares Least Squares Conformal Maps \subsubsection Surface_mesh_parameterizationLeastSquares Least Squares Conformal Maps
`CGAL::Surface_mesh_parameterization::LSCM_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` `Surface_mesh_parameterization::LSCM_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`
The Least Squares Conformal Maps (LSCM) parameterization method has The Least Squares Conformal Maps (LSCM) parameterization method has
been introduced by L&eacute;vy et al. \cgalCite{cgal:lprm-lscm-02}. been introduced by L&eacute;vy et al. \cgalCite{cgal:lprm-lscm-02}.
@ -269,7 +269,7 @@ Least squares conformal maps.
\subsubsection Surface_mesh_parameterizationARAP As Rigid As Possible Parameterization \subsubsection Surface_mesh_parameterizationARAP As Rigid As Possible Parameterization
`CGAL::Surface_mesh_parameterization::ARAP_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` `Surface_mesh_parameterization::ARAP_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`
An as rigid as possible parameterization was introduced by Liu et al. \cgalCite{liu2008local}. An as rigid as possible parameterization was introduced by Liu et al. \cgalCite{liu2008local}.
shape-preserving method based on an iterative energy minimization process. shape-preserving method based on an iterative energy minimization process.
@ -292,9 +292,9 @@ the pinned vertices.
<UL> <UL>
<LI>`Two_vertices_parameterizer_3<TriangleMesh>` <LI>`Surface_mesh_parameterization::Two_vertices_parameterizer_3<TriangleMesh>`
<I>Usage:</I> `Two_vertices_parameterizer_3<TriangleMesh>` is the default <I>Usage:</I> `Surface_mesh_parameterization::Two_vertices_parameterizer_3<TriangleMesh>` is the default
free border parameterization, and is the only one available free border parameterization, and is the only one available
in the current version of this package. in the current version of this package.

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@ -37,13 +37,13 @@ namespace Surface_mesh_parameterization {
/// \ingroup PkgSurfaceParameterizationMethods /// \ingroup PkgSurfaceParameterizationMethods
/// ///
/// The class Barycentric_mapping_parameterizer_3 implements <i>Tutte Barycentric /// The class `Barycentric_mapping_parameterizer_3` implements <i>Tutte Barycentric
/// Mapping algorithm</i> \cgalCite{t-hdg-63}. This algorithm is also called /// Mapping algorithm</i>. This algorithm is also called
/// <i>Tutte Uniform Weights</i> by other authors. /// <i>Tutte Uniform Weights</i> by other authors \cgalCite{t-hdg-63}.
/// ///
/// A one-to-one mapping is guaranteed if the surface's border is mapped to a convex polygon. /// A one-to-one mapping is guaranteed if the surface's border is mapped to a convex polygon.
/// ///
/// This class is a *Strategy* \cgalCite{cgal:ghjv-dpero-95} called by the main /// This class is a strategy called by the main
/// parameterization algorithm `Fixed_border_parameterizer_3::parameterize()` and it: /// parameterization algorithm `Fixed_border_parameterizer_3::parameterize()` and it:
/// - provides the template parameters `BorderParameterizer_3` and `SparseLinearAlgebraTraits_d`. /// - provides the template parameters `BorderParameterizer_3` and `SparseLinearAlgebraTraits_d`.
/// - implements compute_w_ij() to compute `w_ij = (i,j)`, coefficient of /// - implements compute_w_ij() to compute `w_ij = (i,j)`, coefficient of
@ -53,11 +53,11 @@ namespace Surface_mesh_parameterization {
/// \cgalModels `Parameterizer_3` /// \cgalModels `Parameterizer_3`
/// ///
/// \tparam TriangleMesh must be a model of `FaceGraph`. /// \tparam TriangleMesh must be a model of `FaceGraph`.
/// \tparam BorderParameterizer_3 is a Strategy to parameterize the surface border /// \tparam BorderParameterizer_3 is a strategy to parameterize the surface border
/// and must be a model of `Parameterizer_3`. /// and must be a model of `Parameterizer_3`.
/// \tparam SparseLinearAlgebraTraits_d is a Traits class to solve a sparse linear system. <br> /// \tparam SparseLinearAlgebraTraits_d is a traits class to solve a sparse linear system. <br>
/// Note: the system is *not* symmetric because `Fixed_border_parameterizer_3` /// Note: the system is *not* symmetric because `Fixed_border_parameterizer_3`
/// does not remove (yet) border vertices from the system. /// does not remove border vertices from the system.
/*! /*!
\sa `CGAL::Surface_mesh_parameterization::Fixed_border_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` \sa `CGAL::Surface_mesh_parameterization::Fixed_border_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`

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@ -178,7 +178,7 @@ public:
/// in a uniform manner: points are equally spaced. /// in a uniform manner: points are equally spaced.
/// ///
/// Circular_border_parameterizer_3 implements most of the border parameterization /// Circular_border_parameterizer_3 implements most of the border parameterization
/// algorithm. This class implements only compute_edge_length() to compute a /// algorithm. This class implements only `compute_edge_length()` to compute a
/// segment's length. /// segment's length.
/// ///
/// \cgalModels `Parameterizer_3` /// \cgalModels `Parameterizer_3`
@ -224,7 +224,7 @@ protected:
/// \ingroup PkgSurfaceParameterizationBorderParameterizationMethods /// \ingroup PkgSurfaceParameterizationBorderParameterizationMethods
/// ///
/// This class parameterizes the border of a 3D surface onto a circle, /// This class parameterizes the border of a 3D surface onto a circle,
/// with an arc-length parameterization: the (u,v) values are proportional /// with an arc-length parameterization: the `(u,v)` values are proportional
/// to the length of border edges. /// to the length of border edges.
/// The class `Circular_border_parameterizer_3` implements most of the border /// The class `Circular_border_parameterizer_3` implements most of the border
/// parameterization algorithm. /// parameterization algorithm.
@ -266,7 +266,7 @@ protected:
{ {
const PPM ppmap = get(vertex_point, mesh); const PPM ppmap = get(vertex_point, mesh);
/// Arc-length border parameterization: (u,v) values are proportional /// Arc-length border parameterization: `(u,v)` values are proportional
/// to the length of border edges. /// to the length of border edges.
Vector_3 v = get(ppmap, target) - get(ppmap, source); Vector_3 v = get(ppmap, target) - get(ppmap, source);
return CGAL::sqrt(v * v); return CGAL::sqrt(v * v);

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@ -40,15 +40,15 @@ namespace Surface_mesh_parameterization {
/// \ingroup PkgSurfaceParameterizationMethods /// \ingroup PkgSurfaceParameterizationMethods
/// ///
/// The class `Discrete_authalic_parameterizer_3` /// The class `Discrete_authalic_parameterizer_3`
/// implements the *Discrete Authalic Parameterization* algorithm \cgalCite{cgal:dma-ipsm-02}. This method /// implements the *Discrete Authalic Parameterization* algorithm. This method
/// is sometimes called <i>DAP</i> or just <i>Authalic parameterization</i>. /// is sometimes called <i>DAP</i> or just <i>Authalic parameterization</i> \cgalCite{cgal:dma-ipsm-02}.
/// ///
/// DAP is a weak area-preserving parameterization. It is a compromise between /// DAP is a weak area-preserving parameterization. It is a compromise between
/// area-preserving and angle-preserving. /// area-preserving and angle-preserving.
/// ///
/// A one-to-one mapping is guaranteed if the surface's border is mapped onto a convex polygon. /// A one-to-one mapping is guaranteed if the surface's border is mapped onto a convex polygon.
/// ///
/// This class is a *Strategy* \cgalCite{cgal:ghjv-dpero-95} called by the main /// This class is a strategy called by the main
/// parameterization algorithm `Fixed_border_parameterizer_3::parameterize()` and it: /// parameterization algorithm `Fixed_border_parameterizer_3::parameterize()` and it:
/// - provides the template parameters `BorderParameterizer_3` and `SparseLinearAlgebraTraits_d`. /// - provides the template parameters `BorderParameterizer_3` and `SparseLinearAlgebraTraits_d`.
/// - implements `compute_w_ij()` to compute w_ij = (i, j), coefficient of the matrix A /// - implements `compute_w_ij()` to compute w_ij = (i, j), coefficient of the matrix A
@ -57,11 +57,11 @@ namespace Surface_mesh_parameterization {
/// \cgalModels `Parameterizer_3` /// \cgalModels `Parameterizer_3`
/// ///
/// \tparam TriangleMesh must be a model of `FaceGraph` /// \tparam TriangleMesh must be a model of `FaceGraph`
/// \tparam BorderParameterizer_3 is a Strategy to parameterize the surface border /// \tparam BorderParameterizer_3 is a strategy to parameterize the surface border
/// and must be a model of `Parameterizer_3`. /// and must be a model of `Parameterizer_3`.
/// \tparam SparseLinearAlgebraTraits_d is a Traits class to solve a sparse linear system. <br> /// \tparam SparseLinearAlgebraTraits_d is a traits class to solve a sparse linear system. <br>
/// Note: the system is *not* symmetric because `Fixed_border_parameterizer_3` /// Note: the system is *not* symmetric because `Fixed_border_parameterizer_3`
/// does not remove (yet) border vertices from the system. /// does not remove border vertices from the system.
/// ///
/// \sa `CGAL::Surface_mesh_parameterization::Fixed_border_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` /// \sa `CGAL::Surface_mesh_parameterization::Fixed_border_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`
/// \sa `CGAL::Surface_mesh_parameterization::ARAP_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` /// \sa `CGAL::Surface_mesh_parameterization::ARAP_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`

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@ -39,16 +39,16 @@ namespace Surface_mesh_parameterization {
/// \ingroup PkgSurfaceParameterizationMethods /// \ingroup PkgSurfaceParameterizationMethods
/// ///
/// The class Discrete_conformal_map_parameterizer_3 /// The class `Discrete_conformal_map_parameterizer_3`
/// implements the <i>Discrete Conformal Map (DCM)</i> parameterization \cgalCite{cgal:eddhls-maam-95}. /// implements the <i>Discrete Conformal Map (DCM)</i> parameterization.
/// This algorithm is also called <i>Discrete Conformal Parameterization (DCP)</i>, /// This algorithm is also called <i>Discrete Conformal Parameterization (DCP)</i>,
/// <i>Discrete Harmonic Map</i> or <i>Fixed Conformal Parameterization</i> by other authors. /// <i>Discrete Harmonic Map</i> or <i>Fixed Conformal Parameterization</i> by other authors \cgalCite{cgal:eddhls-maam-95}.
/// ///
/// This is a conformal parameterization, i.e. it attempts to preserve angles. /// This is a conformal parameterization, i.e. it attempts to preserve angles.
/// ///
/// A one-to-one mapping is guaranteed if the surface's border is mapped onto a convex polygon. /// A one-to-one mapping is guaranteed if the surface's border is mapped onto a convex polygon.
/// ///
/// This class is a *Strategy* \cgalCite{cgal:ghjv-dpero-95} called by the main /// This class is a strategy called by the main
/// parameterization algorithm `Fixed_border_parameterizer_3::parameterize()` and it: /// parameterization algorithm `Fixed_border_parameterizer_3::parameterize()` and it:
/// - provides the template parameters `BorderParameterizer_3` and `SparseLinearAlgebraTraits_d`. /// - provides the template parameters `BorderParameterizer_3` and `SparseLinearAlgebraTraits_d`.
/// - implements `compute_w_ij()` to compute w_ij = (i, j), coefficient of matrix A /// - implements `compute_w_ij()` to compute w_ij = (i, j), coefficient of matrix A
@ -57,11 +57,11 @@ namespace Surface_mesh_parameterization {
/// \cgalModels `Parameterizer_3` /// \cgalModels `Parameterizer_3`
/// ///
/// \param TriangleMesh must be a model of `FaceGraph`. /// \param TriangleMesh must be a model of `FaceGraph`.
/// \param BorderParameterizer_3 is a Strategy to parameterize the surface border /// \param BorderParameterizer_3 is a strategy to parameterize the surface border
/// and must be a model of `Parameterizer_3`. /// and must be a model of `Parameterizer_3`.
/// \param SparseLinearAlgebraTraits_d is a Traits class to solve a sparse linear system. <br> /// \param SparseLinearAlgebraTraits_d is a traits class to solve a sparse linear system. <br>
/// Note: the system is *not* symmetric because `Fixed_border_parameterizer_3` /// Note: the system is *not* symmetric because `Fixed_border_parameterizer_3`
/// does not remove (yet) border vertices from the system. /// does not remove border vertices from the system.
/// ///
/// \sa `CGAL::Surface_mesh_parameterization::Fixed_border_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` /// \sa `CGAL::Surface_mesh_parameterization::Fixed_border_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`
/// \sa `CGAL::Surface_mesh_parameterization::ARAP_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` /// \sa `CGAL::Surface_mesh_parameterization::ARAP_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`

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@ -68,7 +68,7 @@ namespace Surface_mesh_parameterization {
/// \cgalModels `Parameterizer_3` /// \cgalModels `Parameterizer_3`
/// ///
/// \tparam TriangleMesh must be a model of `FaceGraph` /// \tparam TriangleMesh must be a model of `FaceGraph`
/// \tparam BorderParameterizer_3 is a Strategy to parameterize the surface border /// \tparam BorderParameterizer_3 is a strategy to parameterize the surface border
/// and must be a model of `Parameterizer_3`. <br> /// and must be a model of `Parameterizer_3`. <br>
/// Note: The minimum is to parameterize two vertices. /// Note: The minimum is to parameterize two vertices.
/// \tparam SparseLinearAlgebraTraits_d Traits class to solve a sparse linear system. <br> /// \tparam SparseLinearAlgebraTraits_d Traits class to solve a sparse linear system. <br>

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@ -38,9 +38,9 @@ namespace Surface_mesh_parameterization {
/// \ingroup PkgSurfaceParameterizationMethods /// \ingroup PkgSurfaceParameterizationMethods
/// ///
/// The class Mean_value_coordinates_parameterizer_3 /// The class `Mean_value_coordinates_parameterizer_3`
/// implements *Floater Mean Value Coordinates* parameterization \cgalCite{cgal:f-mvc-03}. /// implements *Floater Mean Value Coordinates* parameterization.
/// This method is sometimes called simply *Floater parameterization*. /// This method is sometimes called simply *Floater parameterization* \cgalCite{cgal:f-mvc-03}.
/// ///
/// This is a conformal parameterization, i.e. it attempts to preserve angles. /// This is a conformal parameterization, i.e. it attempts to preserve angles.
/// ///
@ -48,7 +48,7 @@ namespace Surface_mesh_parameterization {
/// ///
/// This class is used by the main parameterization algorithm /// This class is used by the main parameterization algorithm
/// `Fixed_border_parameterizer_3::parameterize()`. /// `Fixed_border_parameterizer_3::parameterize()`.
/// - It provides default` BorderParameterizer_3` and `SparseLinearAlgebraTraits_d` template /// - It provides default `BorderParameterizer_3` and `SparseLinearAlgebraTraits_d` template
/// parameters. /// parameters.
/// - It implements `compute_w_ij()` to compute w_ij = (i, j) coefficient of matrix A /// - It implements `compute_w_ij()` to compute w_ij = (i, j) coefficient of matrix A
/// for j neighbor vertex of i based on Floater Mean Value Coordinates parameterization. /// for j neighbor vertex of i based on Floater Mean Value Coordinates parameterization.
@ -57,11 +57,11 @@ namespace Surface_mesh_parameterization {
/// \cgalModels `Parameterizer_3` /// \cgalModels `Parameterizer_3`
/// ///
/// \tparam TriangleMesh must be a model of `FaceGraph` /// \tparam TriangleMesh must be a model of `FaceGraph`
/// \tparam BorderParameterizer_3 is a Strategy to parameterize the surface border /// \tparam BorderParameterizer_3 is a strategy to parameterize the surface border
/// and must be a model of `Parameterizer_3`. /// and must be a model of `Parameterizer_3`.
/// \tparam SparseLinearAlgebraTraits_d is a Traits class to solve a sparse linear system. <br> /// \tparam SparseLinearAlgebraTraits_d is a traits class to solve a sparse linear system. <br>
/// Note: the system is *not* symmetric because `Fixed_border_parameterizer_3` /// Note: the system is *not* symmetric because `Fixed_border_parameterizer_3`
/// does not remove (yet) border vertices from the system. /// does not remove border vertices from the system.
/// ///
/// \sa `CGAL::Surface_mesh_parameterization::Fixed_border_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` /// \sa `CGAL::Surface_mesh_parameterization::Fixed_border_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`
/// \sa `CGAL::Surface_mesh_parameterization::ARAP_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>` /// \sa `CGAL::Surface_mesh_parameterization::ARAP_parameterizer_3<TriangleMesh, BorderParameterizer_3, SparseLinearAlgebraTraits_d>`

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@ -369,10 +369,10 @@ public:
/// in a uniform manner: points are equally spaced. /// in a uniform manner: points are equally spaced.
/// ///
/// Square_border_parameterizer_3 implements most of the border parameterization /// Square_border_parameterizer_3 implements most of the border parameterization
/// algorithm. This class implements only compute_edge_length() to compute a /// algorithm. This class implements only `compute_edge_length()` to compute a
/// segment's length. /// segment's length.
/// ///
/// \cgalModels `BorderParameterizer_3` /// \cgalModels `Parameterizer_3`
/// ///
/// \sa `CGAL::Surface_mesh_parameterization::Square_border_parameterizer_3<TriangleMesh>` /// \sa `CGAL::Surface_mesh_parameterization::Square_border_parameterizer_3<TriangleMesh>`
/// \sa `CGAL::Surface_mesh_parameterization::Square_border_arc_length_parameterizer_3<TriangleMesh>` /// \sa `CGAL::Surface_mesh_parameterization::Square_border_arc_length_parameterizer_3<TriangleMesh>`
@ -430,11 +430,11 @@ protected:
/// \ingroup PkgSurfaceParameterizationBorderParameterizationMethods /// \ingroup PkgSurfaceParameterizationBorderParameterizationMethods
/// ///
/// This class parameterizes the border of a 3D surface onto a square, /// This class parameterizes the border of a 3D surface onto a square,
/// with an arc-length parameterization: (u,v) values are /// with an arc-length parameterization: `(u,v)` values are
/// proportional to the length of border edges. /// proportional to the length of border edges.
/// ///
/// Square_border_parameterizer_3 implements most of the border parameterization /// Square_border_parameterizer_3 implements most of the border parameterization
/// algorithm. This class implements only compute_edge_length() to compute a /// algorithm. This class implements only `compute_edge_length()` to compute a
/// segment's length. /// segment's length.
/// ///
/// \tparam TriangleMesh must be a model of `FaceGraph`. /// \tparam TriangleMesh must be a model of `FaceGraph`.
@ -486,7 +486,7 @@ protected:
{ {
const PPM ppmap = get(vertex_point, mesh); const PPM ppmap = get(vertex_point, mesh);
/// In this arc-length border parameterization: the (u,v) values are /// In this arc-length border parameterization: the `(u,v)` values are
/// proportional to the length of the border edges. /// proportional to the length of the border edges.
Vector_3 v = get(ppmap, target) - get(ppmap, source); Vector_3 v = get(ppmap, target) - get(ppmap, source);
return std::sqrt(v * v); return std::sqrt(v * v);

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@ -48,11 +48,11 @@ namespace Surface_mesh_parameterization {
/// This kind of border parameterization is used by free border parameterizations. /// This kind of border parameterization is used by free border parameterizations.
/// ///
/// Implementation note: /// Implementation note:
/// To simplify the implementation, models of the concept `BorderParameterizer_3` /// To simplify the implementation, models of the concept `Parameterizer_3`
/// know only the `TriangleMesh` class. They do not know the parameterization /// know only the `TriangleMesh` class. They do not know the parameterization
/// algorithm requirements or the kind of sparse linear system that is used. /// algorithm requirements or the kind of sparse linear system that is used.
/// ///
/// \cgalModels `BorderParameterizer_3` /// \cgalModels `Parameterizer_3`
/// ///
/// \tparam TriangleMesh must be a model of `FaceGraph`. /// \tparam TriangleMesh must be a model of `FaceGraph`.
/// ///