mirror of https://github.com/CGAL/cgal
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This commit is contained in:
Sébastien Loriot
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\@writefile{toc}{\contentsline {chapter}{\numberline {1}Advancing Front Surface Reconstuction}{1}}
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\@writefile{lof}{\contentsline {xchapter}{Advancing Front Surface Reconstuction}{1}}
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\@writefile{lot}{\contentsline {xchapter}{Advancing Front Surface Reconstuction}{1}}
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\newlabel{chap:surface_reconstruction}{{1}{1}}
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\@writefile{toc}{\contentsline {section}{\numberline {1.1}Introduction}{1}}
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\@setckpt{Advancing_front_surface_reconstruction/main}{
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}
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\chapter{Advancing Front Surface Reconstuction}
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\label{chap:surface_reconstruction}
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\ccChapterAuthor{Frank Da and David Cohen-Steiner}
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\section{Introduction}
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This package offers an algorithm for surface reconstruction from an unorganized point set.
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The algorithm selects facets of the 3D Delaunay triangulation of the points.
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\begin{ccRefClass}{AFSR_cell_base_3<Kernel, CellBase >}
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\ccDefinition
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The class \ccRefName\ is the cell class that must be blended in the cell parameter
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of the 3D Delaunay triagulation. It mainly provides storage and methods used by the
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Advancing front surface reconstruction algorithm.
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\ccInclude{CGAL/AFSR_cell_base_3.h}
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\ccInheritsFrom
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\ccc{CellBase}
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%\ccTypes
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%\ccTypedef{typedef Kernel::FT FT;}{The number type.}
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%\ccCreation
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%\ccCreationVariable{c}
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%\ccConstructor{AFSR_cell_base_3();}{Default constructor}
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%\ccOperations
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%\ccMemberFunction{bool has_facet_on_surface(int i) const;}{Returns \ccc{true}, iff the facet is on the surface.}
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%\ccSeeAlso
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%\ccRefIdfierPage{}
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\end{ccRefClass}
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\begin{ccRefClass}{AFSR_options}
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\ccDefinition
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The class \ccRefName\ is used as a container of the options of the surface reconstruction algorithm.
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\ccInclude{CGAL/AFSR_options.h}
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%\ccSeeAlso
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%\ccRefIdfierPage{}
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\end{ccRefClass}
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\begin{ccRefClass}{AFSR_vertex_base_3<Kernel,VertexBase>}
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\ccDefinition
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The class \ccRefName\ is the vertex class that must be blended in the vertex parameter
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of the 3D Delaunay triagulation. It mainly provides storage and methods used by the
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Advancing front surface reconstruction algorithm.
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\ccInclude{CGAL/AFSR_vertex_base_3.h}
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\ccInheritsFrom
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\ccc{VertexBase}
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%\ccTypes
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%\ccTypedef{typedef Kernel::FT FT;}{The number type.}
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%\ccCreation
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%\ccCreationVariable{v}
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%\ccConstructor{Surface_vertex_base_2();}{Default constructor}
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%\ccOperations
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%\ccMemberFunction{Vertex_handle_3 vertex_3() const;}{Returns the vertex handle in the 3D Delaunay triangulation.}
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%\ccSeeAlso
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%\ccRefIdfierPage{}
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\end{ccRefClass}
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\begin{ccRefClass}{AFSR_vertex_base_with_id_3<Kernel, VertexBase >}
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\ccDefinition
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The class \ccRefName\ is the vertex class that must be blended in the vertex parameter
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of the 3D Delaunay triagulation. It mainly provides storage and methods used by the
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Advancing front surface reconstruction algorithm.
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\ccInclude{CGAL/AFSR_vertex_base_with_id_3.h}
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%\ccTypes
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%\ccTypedef{typedef Kernel::FT FT;}{The number type.}
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%\ccCreation
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\ccCreationVariable{v}
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%\ccConstructor{Surface_vertex_base_2();}{Default constructor}
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\ccOperations
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\ccMemberFunction{int& id() const;}{Returns a reference to an \ccc{int} that is not used or altered by the
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surface reconstruction algorithm.}
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%\ccSeeAlso
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%\ccRefIdfierPage{}
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\end{ccRefClass}
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\begin{ccRefClass}{Advancing_front_surface_reconstruction<Kernel,Delaunay_3>}
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\ccDefinition
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The class \ccRefName\ extracts a surface from a 3D Delaunay triangulation.
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\ccInclude{CGAL/Advancing_front_surface_reconstruction.h}
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\ccParameters
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The parameter for \ccc{Delaunay_3} must be a 3D Delaunay triangulation where \ccc{CGAL::AFSR_vertex_base_3}
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or \ccc{CGAL::AFSR_vertex_base_with_id_3} and \ccc{CGAL::AFSR_cell_base_3} must be blended in the vertex and face class.
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\ccTypes
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\ccTypedef{typedef Delaunay_3 Triangulation_3;}{}
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\ccTypedef{typedef CGAL::Triple<Cell_handle, int,int> Edge;}{For \ccc{(ch,i,j)}, this is the edge between vertices \ccc{i} and \ccc{j} in cell \ccc{*ch}.}
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\ccTypedef{typedef std::pair<Edge,int> Edge_incident_facet;}{For \ccc{((ch,i,j),k)}, this is the facet adjacent to the edge \ccc{(,i,j)}, and
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opposite to vertex \ccc{k}, in the cell \ccc{*ch}.}
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\ccGlue
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\ccNestedType{TDS_2}{The type of the 2D triangulation data structure describing the reconstructed surface.}
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\ccNestedType{TDS_2::Vertex}{It is model of the concept \ccc{TriangulationDataStructure_2::Vertex} and has additionally the
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method \ccc{vertex_3()} that returns a \ccc{Triangulation_3::Vertex_handle} to the associated 3D vertex.}
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\ccNestedType{TDS_2::Face}{It is model of the concept \ccc{TriangulationDataStructure_2::Face} and has additionally the
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method \ccc{facet()} that returns the associated \ccc{Triangulation_3::Facet}.}
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\ccNestedType{Boundary_iterator}{This forward iterator allows to visit all contours. It
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visits the entry point of the contour twice. This allows to
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detect that the traversal of the border is finished. One more increment
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brings us to the vertex on the next boundary. The value type of the iterator is \ccc{Triangulation_3::Vertex_handle}.}
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\ccNestedType{Outlier_iterator}{This bidirectional iterator allows to enumerate all points that were removed
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from the 3D Delaunay triangulation during the surface reconstruction. The value type
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of the iterator is \ccc{Kernel::Point_3}.}
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\ccCreation
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\ccCreationVariable{es}
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\ccConstructor{Advancing_front_surface_reconstruction(Delaunay_3& del, AFSR_options opt);}{}
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\ccOperations
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\ccMemberFunction{const TDS_2& tds_2() const;}{Returns a const reference to the reconstructed surface. }
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\ccMemberFunction{bool is_on_surface(TDS_2::Vertex_handle vh;}{Returns true, iff the vertex is on the reconstructed surface.}
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\ccMemberFunction{const Triangulation_3& triangulation() const;}{Returns a const reference to the 3D Delaunay triangulation.}
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\ccMemberFunction{Boundary_iterator boundaries_begin() const;}{}
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\ccMemberFunction{Boundary_iterator boundaries_end() const;}{}
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\ccMemberFunction{Outlier_iterator outliers_begin() const;}{}
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\ccMemberFunction{Outlier_iterator outliers_end() const;}{}
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\ccMemberFunction{bool has_on_surface(Triangulation_3::Facet f) const;}
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{Returns \ccc{true}, iff the facet is on the reconstructed surface.}
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\ccMemberFunction{Edge_incident_facet next(const Edge_incident_facet& f) const;}{returns the next facet around the edge.}
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\ccMemberFunction{Edge_incident_facet previous(const Edge_incident_facet& f) const;}{returns the previous facet around the edge.}
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\ccMemberFunction{Facet next_surface_facet(const Edge_incident_facet& f) const}{returns the next facet ariund the edge,
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which is on the reconstructed surface.}
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%\ccSeeAlso
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%\ccRefIdfierPage{}
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\end{ccRefClass}
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\begin{ccRefClass}{AFSR::Surface_face_base_2<Kernel, Facet, Fb_2 >}
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\ccDefinition
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The class \ccRefName\ is the face class used in the triangulation data structure
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that describes the reconstructed surface. A face is either part of this
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surface, or it is not part of the surface but adjacent to the boundary of the surface.
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The face class stores a facet of the 3D Delaunay triangulation, if it
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is part of the surface.
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\ccInclude{CGAL/AFSR/Surface_face_base_2.h}
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%\ccTypes
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%\ccTypedef{typedef Kernel::FT FT;}{The number type.}
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%\ccCreation
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\ccCreationVariable{f}
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%\ccConstructor{Surface_face_base_2();}{Default constructor}
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\ccOperations
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\ccMemberFunction{Facet facet() const;}{Returns the facet in the 3D Delaunay triangulation.}
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\ccMemberFunction{bool is_on_surface() const;}{Returns \ccc{true}, iff the face is on the surface.}
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%\ccSeeAlso
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%\ccRefIdfierPage{}
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\end{ccRefClass}
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\begin{ccRefClass}{AFSR::Surface_vertex_base_2<Kernel, Vh_3, Vb_2 >}
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\ccDefinition
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The class \ccRefName\ is the vertex class used in the 2D triangulation data structure
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that describes the reconstructed surface. It stores a vertex handle to its
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correpsonding vertex in the 3D Delaunay triangulation.
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\ccInclude{CGAL/AFSR/Surface_vertex_base_2.h}
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%\ccTypes
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%\ccTypedef{typedef Kernel::FT FT;}{The number type.}
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%\ccCreation
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\ccCreationVariable{v}
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%\ccConstructor{Surface_vertex_base_2();}{Default constructor}
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\ccOperations
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\ccMemberFunction{Vertex_handle_3 vertex_3() const;}{Returns the vertex handle in the 3D Delaunay triangulation.}
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%\ccSeeAlso
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%\ccRefIdfierPage{}
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\end{ccRefClass}
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\chapter{Advancing Front Surface Reconstruction}
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\label{chap:surface_reconstruction_ref}
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\ccChapterAuthor{Frank Da and David Cohen-Steiner}
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\ccHeading{Classes}
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\ccRefIdfierPage{CGAL::Advancing_front_surface_reconstruction}\\
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\ccRefIdfierPage{CGAL::AFSR_options}\\
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\ccRefIdfierPage{CGAL::AFSR_face_base_3}\\
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\ccRefIdfierPage{CGAL::AFSR_vertex_base_3}\\
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\ccRefIdfierPage{CGAL::AFSR_vertex_base_with_id_3}
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\ccHeading{Functions}
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\ccRefIdfierPage{CGAL::write_to_file_vrml2}
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\input{Advancing_front_surface_reconstruction_ref/intro.tex}
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\input{Advancing_front_surface_reconstruction_ref/Advancing_front_surface_reconstruction.tex}
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\input{Advancing_front_surface_reconstruction_ref/AFSR_cell_base_3.tex}
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\input{Advancing_front_surface_reconstruction_ref/AFSR_vertex_base_3.tex}
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\input{Advancing_front_surface_reconstruction_ref/AFSR_vertex_base_with_id_3.tex}
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\input{Advancing_front_surface_reconstruction_ref/write_to_file_vrml2.tex}
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\begin{ccRefFunction}{write_to_file_vrml2}
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\ccDefinition
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The function \ccRefName\ writes the reconstructed surface to a file.
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\ccInclude{CGAL/IO/Advancing_front_surface_reconstruction.h}
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\ccFunction{template <class Surface>
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void
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write_to_file_vrml2(char* foutput, const Surface& S,
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bool boundary, double red, double green, double blue, bool no_header);}
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{Opens a file with the basename \ccc{foutput} and the file extension \ccc{.wrl}, and writes the
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reconstructed surface to this file. If \ccc{boundary} is \ccc{true} the boundary is drawn.
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The color of the facets is defined by \ccc{red}, \ccc{green}, and \ccc{blue}. If \ccc{no_header} is
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\ccc{true}, the VRML header is not written.}
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\end{ccRefFunction}
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