mirror of https://github.com/CGAL/cgal
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This commit is contained in:
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccDefinition)
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The class \ccc{Barycentric_mapping_parameterizer_3} implements Tutte Barycentric Mapping algorithm \cite{t-hdg-63}. This algorithm is also called {\em Tutte Uniform Weights} by other authors.
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The class \ccc{Barycentric_mapping_parameterizer_3} implements Tutte Barycentric Mapping algorithm [Tut63]. This algorithm is also called {\em Tutte Uniform Weights} by other authors.
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One-to-one mapping is guaranteed if the surface's border is mapped to a convex polygon.
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This class is a Strategy \cite{cgal:ghjv-dpero-95} called by the main parameterization algorithm \ccc{Fixed_border_parameterizer_3::parameterize}(). \ccc{Barycentric_mapping_parameterizer_3}:\begin{itemize}
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This class is a Strategy [GHJV95] called by the main parameterization algorithm \ccc{Fixed_border_parameterizer_3::parameterize}(). \ccc{Barycentric_mapping_parameterizer_3}:\begin{itemize}
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\item provides default \ccc{BorderParameterizer_3} and \ccc{SparseLinearAlgebraTraits_d} template parameters that make sense.\item implements \ccc{compute_w_ij}() to compute \ccc{w_ij} = (i,j) coefficient of matrix A for j neighbor vertex of i based on Tutte Barycentric Mapping method.\item implements an optimized version of \ccc{is_one_to_one_mapping}().\end{itemize}
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%END-AUTO(\ccDefinition)
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@ -50,7 +50,7 @@ Model of the \ccc{ParameterizerTraits_3} concept.
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{Barycentric_mapping_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy \cite{cgal:ghjv-dpero-95}: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{Barycentric_mapping_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy [GHJV95]: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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@ -35,7 +35,7 @@ Implementation note: To simplify the implementation, \ccc{BorderParameterizer_3}
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{BorderParameterizer_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{BorderParameterizer_3} models are Strategies [GHJV95]: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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@ -48,7 +48,7 @@ Model of the \ccc{BorderParameterizer_3} concept.
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{BorderParameterizer_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}
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\ccc{BorderParameterizer_3} models are Strategies [GHJV95]: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}
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%END-AUTO(\ccHeading{Design Pattern})
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@ -47,7 +47,7 @@ Model of the \ccc{BorderParameterizer_3} concept (although you cannot instantiat
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{BorderParameterizer_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{BorderParameterizer_3} models are Strategies [GHJV95]: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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@ -45,7 +45,7 @@ Model of the \ccc{BorderParameterizer_3} concept.
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{BorderParameterizer_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}
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\ccc{BorderParameterizer_3} models are Strategies [GHJV95]: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}
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%END-AUTO(\ccHeading{Design Pattern})
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@ -23,13 +23,13 @@
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccDefinition)
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The class \ccc{Discrete_authalic_parameterizer_3} implements the Discrete Authalic Parameterization algorithm \cite{cgal:dma-ipsm-02}. This method is sometimes called {\em DAP} or just {\em Authalic parameterization}.
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The class \ccc{Discrete_authalic_parameterizer_3} implements the Discrete Authalic Parameterization algorithm [DMA02]. This method is sometimes called {\em DAP} or just {\em Authalic parameterization}.
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DAP is a weak area-preserving parameterization. It is a compromise between area-preserving and angle-preserving.
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One-to-one mapping is guaranteed if surface's border is mapped onto a convex polygon.
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This class is a Strategy \cite{cgal:ghjv-dpero-95} called by the main parameterization algorithm \ccc{Fixed_border_parameterizer_3::parameterize}(). \ccc{Discrete_authalic_parameterizer_3}:\begin{itemize}
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This class is a Strategy [GHJV95] called by the main parameterization algorithm \ccc{Fixed_border_parameterizer_3::parameterize}(). \ccc{Discrete_authalic_parameterizer_3}:\begin{itemize}
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\item provides default \ccc{BorderParameterizer_3} and \ccc{SparseLinearAlgebraTraits_d} template parameters that make sense.\item implements \ccc{compute_w_ij}() to compute \ccc{w_ij} = (i, j) coefficient of matrix A for j neighbor vertex of i based on Discrete Authalic Parameterization algorithm.\end{itemize}
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%END-AUTO(\ccDefinition)
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@ -52,7 +52,7 @@ Model of the \ccc{ParameterizerTraits_3} concept.
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{Discrete_authalic_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy \cite{cgal:ghjv-dpero-95}: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{Discrete_authalic_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy [GHJV95]: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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@ -23,13 +23,13 @@
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccDefinition)
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The class \ccc{Discrete_conformal_map_parameterizer_3} implements the Discrete Conformal Map (DCM) parameterization \cite{cgal:eddhls-maam-95}. This algorithm is also called {\em Discrete Conformal Parameterization (DCP)}, {\em Discrete Harmonic Map} or {\em Fixed Conformal Parameterization} by other authors.
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The class \ccc{Discrete_conformal_map_parameterizer_3} implements the Discrete Conformal Map (DCM) parameterization [EDD+95]. This algorithm is also called {\em Discrete Conformal Parameterization (DCP)}, {\em Discrete Harmonic Map} or {\em Fixed Conformal Parameterization} by other authors.
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This is a conformal parameterization, i.e. it attempts to preserve angles.
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One-to-one mapping is guaranteed if surface's border is mapped onto a convex polygon.
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This class is a Strategy \cite{cgal:ghjv-dpero-95} called by the main parameterization algorithm \ccc{Fixed_border_parameterizer_3::parameterize}(). \ccc{Discrete_conformal_map_parameterizer_3}:\begin{itemize}
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This class is a Strategy [GHJV95] called by the main parameterization algorithm \ccc{Fixed_border_parameterizer_3::parameterize}(). \ccc{Discrete_conformal_map_parameterizer_3}:\begin{itemize}
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\item provides default \ccc{BorderParameterizer_3} and \ccc{SparseLinearAlgebraTraits_d} template parameters that make sense.\item implements \ccc{compute_w_ij}() to compute \ccc{w_ij} = (i, j) coefficient of matrix A for j neighbor vertex of i based on Discrete Conformal Map method.\end{itemize}
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%END-AUTO(\ccDefinition)
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@ -52,7 +52,7 @@ Model of the \ccc{ParameterizerTraits_3} concept.
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{Discrete_conformal_map_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy \cite{cgal:ghjv-dpero-95}: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{Discrete_conformal_map_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy [GHJV95]: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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@ -27,7 +27,7 @@ The class \ccc{Fixed_border_parameterizer_3} is the base class of fixed border p
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One-to-one mapping is guaranteed if surface's border is mapped onto a convex polygon.
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This class is a pure virtual class, thus cannot be instantiated. Anyway, it implements most of the parameterization algorithm parameterize(). Subclasses are Strategies \cite{cgal:ghjv-dpero-95} that modify the behavior of this algorithm:\begin{itemize}
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This class is a pure virtual class, thus cannot be instantiated. Anyway, it implements most of the parameterization algorithm parameterize(). Subclasses are Strategies [GHJV95] that modify the behavior of this algorithm:\begin{itemize}
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\item They provide \ccc{BorderParameterizer_3} and \ccc{SparseLinearAlgebraTraits_d} template parameters that make sense.\item They implement \ccc{compute_w_ij}() to compute \ccc{w_ij} = (i, j) coefficient of matrix A for j neighbor vertex of i.\item They may implement an optimized version of \ccc{is_one_to_one_mapping}().\end{itemize}
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@ -54,7 +54,7 @@ Model of the \ccc{ParameterizerTraits_3} concept (although you cannot instantiat
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{Fixed_border_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy \cite{cgal:ghjv-dpero-95}: it implements (part of) a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{Fixed_border_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy [GHJV95]: it implements (part of) a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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@ -23,7 +23,7 @@
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccDefinition)
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The class \ccc{LSCM_parameterizer_3} implements the Least Squares Conformal Maps (LSCM) parameterization \cite{cgal:lprm-lscm-02}.
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The class \ccc{LSCM_parameterizer_3} implements the Least Squares Conformal Maps (LSCM) parameterization [LPRM02].
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This is a conformal parameterization, i.e. it attempts to preserve angles.
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@ -49,7 +49,7 @@ Model of the \ccc{ParameterizerTraits_3} concept.
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{LSCM_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy \cite{cgal:ghjv-dpero-95}: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{LSCM_parameterizer_3<ParameterizationMesh_3, ...>} class is a Strategy [GHJV95]: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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@ -23,13 +23,13 @@
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccDefinition)
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The class \ccc{Mean_value_coordinates_parameterizer_3} implements Floater Mean Value Coordinates parameterization \cite{cgal:f-mvc-03}. This method is sometimes called simply {\em Floater parameterization}.
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The class \ccc{Mean_value_coordinates_parameterizer_3} implements Floater Mean Value Coordinates parameterization [Flo03]. This method is sometimes called simply {\em Floater parameterization}.
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This is a conformal parameterization, i.e. it attempts to preserve angles.
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One-to-one mapping is guaranteed if the surface's border is mapped to a convex polygon.
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This class is a Strategy \cite{cgal:ghjv-dpero-95} called by the main parameterization algorithm \ccc{Fixed_border_parameterizer_3::parameterize}(). \ccc{Mean_value_coordinates_parameterizer_3}:\begin{itemize}
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This class is a Strategy [GHJV95] called by the main parameterization algorithm \ccc{Fixed_border_parameterizer_3::parameterize}(). \ccc{Mean_value_coordinates_parameterizer_3}:\begin{itemize}
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\item provides default \ccc{BorderParameterizer_3} and \ccc{SparseLinearAlgebraTraits_d} template parameters that make sense.\item implements \ccc{compute_w_ij}() to compute \ccc{w_ij} = (i, j) coefficient of matrix A for j neighbor vertex of i based on Floater Mean Value Coordinates parameterization.\item implements an optimized version of \ccc{is_one_to_one_mapping}().\end{itemize}
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%END-AUTO(\ccDefinition)
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@ -52,7 +52,7 @@ Model of the \ccc{ParameterizerTraits_3} concept.
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{Mean_value_coordinates_parameterizer_3<ParameterizationMesh_3, ...>}class is a Strategy \cite{cgal:ghjv-dpero-95}: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{Mean_value_coordinates_parameterizer_3<ParameterizationMesh_3, ...>}class is a Strategy [GHJV95]: it implements a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{ParameterizationMesh_3} is an Adaptor \cite{cgal:ghjv-dpero-95}: it changes the interface of a 3D mesh to match the interface expected by the parameterization methods.
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\ccc{ParameterizationMesh_3} is an Adaptor [GHJV95]: it changes the interface of a 3D mesh to match the interface expected by the parameterization methods.
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{ParameterizationPatchableMesh_3} is an Adaptor \cite{cgal:ghjv-dpero-95}: it changes the interface of a 3D mesh to match the interface expected by class \ccc{Parameterization_mesh_patch_3}.
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\ccc{ParameterizationPatchableMesh_3} is an Adaptor [GHJV95]: it changes the interface of a 3D mesh to match the interface expected by class \ccc{Parameterization_mesh_patch_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{Parameterization_mesh_patch_3} is a Decorator \cite{cgal:ghjv-dpero-95}: it changes the behavior of a \ccc{ParameterizationPatchableMesh_3} 3D surface while keeping its \ccc{ParameterizationMesh_3} interface.
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\ccc{Parameterization_mesh_patch_3} is a Decorator [GHJV95]: it changes the behavior of a \ccc{ParameterizationPatchableMesh_3} 3D surface while keeping its \ccc{ParameterizationMesh_3} interface.
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{Parameterization_polyhedron_adaptor_3} is an Adaptor \cite{cgal:ghjv-dpero-95}: it changes the Polyhedron interface to match the \ccc{ParameterizationPatchableMesh_3} concept.
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\ccc{Parameterization_polyhedron_adaptor_3} is an Adaptor [GHJV95]: it changes the Polyhedron interface to match the \ccc{ParameterizationPatchableMesh_3} concept.
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{ParameterizerTraits_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{ParameterizerTraits_3} models are Strategies [GHJV95]: they implement a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{ParameterizerTraits_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{ParameterizerTraits_3} models are Strategies [GHJV95]: they implement a strategy of surface parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{BorderParameterizer_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}
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\ccc{BorderParameterizer_3} models are Strategies [GHJV95]: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{BorderParameterizer_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{BorderParameterizer_3} models are Strategies [GHJV95]: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{BorderParameterizer_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{BorderParameterizer_3} models are Strategies [GHJV95]: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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% The section below is automatically generated. Do not edit!
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%START-AUTO(\ccHeading{Design Pattern})
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\ccc{BorderParameterizer_3} models are Strategies \cite{cgal:ghjv-dpero-95}: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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\ccc{BorderParameterizer_3} models are Strategies [GHJV95]: they implement a strategy of border parameterization for models of \ccc{ParameterizationMesh_3}.
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%END-AUTO(\ccHeading{Design Pattern})
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class \ccc{ParameterizerTraits_3}$>$ \\
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\ccc{Parameterizer_traits_3<ParameterizationMesh_3>::Error_code} \\
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parameterize (\ccc{ParameterizationMesh_3} \&mesh, \ccc{ParameterizerTraits_3} parameterizer); \\
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\\
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%END-AUTO(\ccParameters)
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