diff --git a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Lightweight_vector_3.tex b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Lightweight_vector_3.tex index 351a99596b9..fe4c5b83323 100644 --- a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Lightweight_vector_3.tex +++ b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Lightweight_vector_3.tex @@ -92,7 +92,7 @@ Kernel's \ccc{Vector_3} class. \ccConstructor{Lightweight_vector_3(Null_vector = NULL_VECTOR);} { -Vector is (0,0,0) by default. +Vector is (0, 0, 0) by default. } \ccGlue \ccConstructor{Lightweight_vector_3(const Vector& vector);} diff --git a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/OrientableNormal_3.tex b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/OrientableNormal_3.tex index c209b860b7a..43a477dccfa 100644 --- a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/OrientableNormal_3.tex +++ b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/OrientableNormal_3.tex @@ -69,7 +69,7 @@ Kernel's \ccc{Vector_3} class. \ccConstructor{OrientableNormal_3(Null_vector = NULL_VECTOR);} { -Normal vector is (0,0,0) by default. Normal is oriented by default. +Normal vector is (0, 0, 0) by default. Normal is oriented by default. } \ccGlue \ccConstructor{OrientableNormal_3(const Vector& vector, bool oriented = true);} diff --git a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Orientable_normal_3.tex b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Orientable_normal_3.tex index c5afdf5f58a..be2d0f5696f 100644 --- a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Orientable_normal_3.tex +++ b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Orientable_normal_3.tex @@ -101,7 +101,7 @@ Kernel's \ccc{Vector_3} class. \ccConstructor{Orientable_normal_3(Null_vector = NULL_VECTOR, bool oriented = true);} { -Normal vector is (0,0,0) by default. Normal is oriented by default. +Normal vector is (0, 0, 0) by default. Normal is oriented by default. } \ccGlue \ccConstructor{Orientable_normal_3(const Vector& vector, bool oriented = true);} diff --git a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/PointWithNormal_3.tex b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/PointWithNormal_3.tex index ec5ff287f8e..2989e4e9ce4 100644 --- a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/PointWithNormal_3.tex +++ b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/PointWithNormal_3.tex @@ -75,7 +75,7 @@ Model of \ccc{Kernel::Vector_3} or of \ccc{OrientableNormal_3}. \ccConstructor{PointWithNormal_3(const Origin& o = ORIGIN);} { -Point is (0,0,0) by default. Normal is (0,0,0) by default. +Point is (0, 0, 0) by default. Normal is (0, 0, 0) by default. } \ccGlue \ccConstructor{PointWithNormal_3(FT x, FT y, FT z, const Normal& normal = NULL_VECTOR);} diff --git a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Point_with_normal_3.tex b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Point_with_normal_3.tex index 666b2f44901..813ee6f6403 100644 --- a/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Point_with_normal_3.tex +++ b/Point_set_processing_3/doc_tex/Point_set_processing_3_ref/Point_with_normal_3.tex @@ -110,7 +110,7 @@ Model of \ccc{Kernel::Vector_3} or of \ccc{OrientableNormal_3}. \ccConstructor{Point_with_normal_3(const Origin& o = ORIGIN);} { -Point is (0,0,0) by default. Normal is (0,0,0) by default. Normal is oriented by default. +Point is (0, 0, 0) by default. Normal is (0, 0, 0) by default. Normal is oriented by default. } \ccGlue \ccConstructor{Point_with_normal_3(FT x, FT y, FT z, const Normal& normal = NULL_VECTOR);} diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Barycentric_mapping_parameterizer_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Barycentric_mapping_parameterizer_3.tex index fd0f080991c..d37a580df69 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Barycentric_mapping_parameterizer_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Barycentric_mapping_parameterizer_3.tex @@ -28,7 +28,7 @@ The class \ccc{Barycentric_mapping_parameterizer_3} implements Tutte Barycentric One-to-one mapping is guaranteed if the surface's border is mapped to a convex polygon. 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} -\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} +\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} %END-AUTO(\ccDefinition) @@ -116,7 +116,7 @@ Constructor. \ccMethod{virtual NT compute_w_ij(const Adaptor& , Vertex_const_handle, Vertex_around_vertex_const_circulator);} { [protected, virtual] \\ -Compute \ccc{w_ij} = (i,j) coefficient of matrix A for j neighbor vertex of i. +Compute \ccc{w_ij} = (i, j) coefficient of matrix A for j neighbor vertex of i. Tutte Barycentric Mapping algorithm is the most simple one: \ccc{w_ij} = 1 for j neighbor vertex of i. } \ccGlue diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/BorderParameterizer_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/BorderParameterizer_3.tex index 6ddf89f1c1c..5b38f9ac088 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/BorderParameterizer_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/BorderParameterizer_3.tex @@ -76,7 +76,7 @@ Construction and destruction are undefined. \ccMethod{Error_code parameterize_border(Adaptor& mesh);} { -Assign to mesh's border vertices a 2D position (i.e. a (u,v) pair) on border's shape. Mark them as {\em parameterized}. Return false on error. +Assign to mesh's border vertices a 2D position (i.e. a (u, v) pair) on border's shape. Mark them as {\em parameterized}. Return false on error. } \ccGlue \ccMethod{bool is_border_convex();} diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Circular_border_arc_length_parameterizer_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Circular_border_arc_length_parameterizer_3.tex index 0533d2a1bc7..0148e3e8434 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Circular_border_arc_length_parameterizer_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Circular_border_arc_length_parameterizer_3.tex @@ -26,7 +26,7 @@ for fixed border parameterization methods. % The section below is automatically generated. Do not edit! %START-AUTO(\ccDefinition) -This class parameterizes the border of a 3D surface onto a circle, with an arc-length parameterization: (u,v) values are proportional to the length of border edges. \ccc{Circular_border_parameterizer_3} implements most of the border parameterization algorithm. This class implements only \ccc{compute_edge_length}() to compute a segment's length. +This class parameterizes the border of a 3D surface onto a circle, with an arc-length parameterization: (u, v) values are proportional to the length of border edges. \ccc{Circular_border_parameterizer_3} implements most of the border parameterization algorithm. This class implements only \ccc{compute_edge_length}() to compute a segment's length. %END-AUTO(\ccDefinition) @@ -99,7 +99,7 @@ class \ccc{Circular_border_arc_length_parameterizer_3}; { [protected, virtual] \\ Compute the length of an edge. -Arc-length border parameterization: (u,v) values are proportional to the length of border edges. +Arc-length border parameterization: (u, v) values are proportional to the length of border edges. } \ccGlue diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Circular_border_parameterizer_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Circular_border_parameterizer_3.tex index b450c7d2459..e2066f328b5 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Circular_border_parameterizer_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Circular_border_parameterizer_3.tex @@ -100,7 +100,7 @@ Export \ccc{ParameterizationMesh_3} template parameter. \ccMethod{Parameterizer_traits_3::Error_code parameterize_border(Adaptor& mesh);} { -Assign to mesh's border vertices a 2D position (i.e. a (u,v) pair) on border's shape. Mark them as {\em parameterized}. +Assign to mesh's border vertices a 2D position (i.e. a (u, v) pair) on border's shape. Mark them as {\em parameterized}. } \ccGlue \ccMethod{bool is_border_convex();} diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Discrete_conformal_map_parameterizer_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Discrete_conformal_map_parameterizer_3.tex index 9bfb9034af8..3bf9e0240eb 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Discrete_conformal_map_parameterizer_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Discrete_conformal_map_parameterizer_3.tex @@ -118,7 +118,7 @@ Constructor. \ccMethod{virtual NT compute_w_ij(const Adaptor& mesh, Vertex_const_handle main_vertex_v_i, Vertex_around_vertex_const_circulator neighbor_vertex_v_j);} { [protected, virtual] \\ -Compute \ccc{w_ij} = (i,j) coefficient of matrix A for j neighbor vertex of i. +Compute \ccc{w_ij} = (i, j) coefficient of matrix A for j neighbor vertex of i. } \ccGlue diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Fixed_border_parameterizer_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Fixed_border_parameterizer_3.tex index 89299251799..29dd0a4cb82 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Fixed_border_parameterizer_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Fixed_border_parameterizer_3.tex @@ -131,7 +131,7 @@ Constructor. \ccMethod{Fixed_border_parameterizer_3::Error_code parameterize(Adaptor& mesh);} { [virtual] \\ -Compute a one-to-one mapping from a triangular 3D surface \ccc{mesh} to a piece of the 2D space. The mapping is linear by pieces (linear in each triangle). The result is the (u,v) pair image of each vertex of the 3D surface. +Compute a one-to-one mapping from a triangular 3D surface \ccc{mesh} to a piece of the 2D space. The mapping is linear by pieces (linear in each triangle). The result is the (u, v) pair image of each vertex of the 3D surface. \ccCommentHeading{Preconditions}\begin{itemize} \item \ccc{mesh} must be a surface with one connected component.\item \ccc{mesh} must be a triangular mesh.\item the mesh border must be mapped onto a convex polygon. \end{itemize} } @@ -169,7 +169,7 @@ Compute the line i of matrix A for i inner vertex:\begin{itemize} \ccMethod{void set_mesh_uv_from_system(Adaptor& mesh, const Vector& Xu, const Vector& Xv);} { [protected] \\ -Copy Xu and Xv coordinates into the (u,v) pair of each surface vertex. +Copy Xu and Xv coordinates into the (u, v) pair of each surface vertex. } \ccGlue \ccMethod{Fixed_border_parameterizer_3::Error_code check_parameterize_postconditions(const Adaptor& mesh, const Matrix& A, const Vector& Bu, const Vector& Bv);} diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/LSCM_parameterizer_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/LSCM_parameterizer_3.tex index 85e7621a1fc..37b3ea49776 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/LSCM_parameterizer_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/LSCM_parameterizer_3.tex @@ -130,7 +130,7 @@ Constructor. \ccMethod{LSCM_parameterizer_3::Error_code parameterize(Adaptor& mesh);} { [virtual] \\ -Compute a one-to-one mapping from a triangular 3D surface \ccc{mesh} to a piece of the 2D space. The mapping is linear by pieces (linear in each triangle). The result is the (u,v) pair image of each vertex of the 3D surface. +Compute a one-to-one mapping from a triangular 3D surface \ccc{mesh} to a piece of the 2D space. The mapping is linear by pieces (linear in each triangle). The result is the (u, v) pair image of each vertex of the 3D surface. \ccCommentHeading{Preconditions}\begin{itemize} \item \ccc{mesh} must be a surface with one connected component.\item \ccc{mesh} must be a triangular mesh. \end{itemize} } diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizationMesh_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizationMesh_3.tex index 9977ab94094..8f03c87075e 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizationMesh_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizationMesh_3.tex @@ -67,7 +67,7 @@ Number type to represent coordinates. \ccGlue \ccNestedType{Point_2} { -2D point that represents (u,v) coordinates computed by parameterization methods. Must provide X() and Y() methods. +2D point that represents (u, v) coordinates computed by parameterization methods. Must provide X() and Y() methods. } \ccGlue \ccNestedType{Point_3} diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizationPatchableMesh_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizationPatchableMesh_3.tex index 2e3bc7fbce6..f2c53c07fa3 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizationPatchableMesh_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizationPatchableMesh_3.tex @@ -94,7 +94,7 @@ Get/set oriented edge's seaming flag, i.e. position of the oriented edge w.r.t. \ccGlue \ccMethod{Point_2 get_corners_uv(Vertex_const_handle vertex, Vertex_const_handle prev_vertex, Vertex_const_handle next_vertex) const;} { -Get/set the 2D position (= (u,v) pair) of corners at the {\em right} of the \ccc{prev_vertex} -$>$ vertex -$>$ \ccc{next_vertex} line. Default value is undefined. +Get/set the 2D position (= (u, v) pair) of corners at the {\em right} of the \ccc{prev_vertex} -$>$ vertex -$>$ \ccc{next_vertex} line. Default value is undefined. } \ccGlue \ccMethod{void set_corners_uv(Vertex_handle vertex, Vertex_const_handle prev_vertex, Vertex_const_handle next_vertex, const Point_2& uv);} diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterization_mesh_patch_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterization_mesh_patch_3.tex index 129caeb1e3e..669b6ce6064 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterization_mesh_patch_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterization_mesh_patch_3.tex @@ -103,7 +103,7 @@ Number type to represent coordinates. \ccGlue \ccNestedType{Point_2} { -2D point that represents (u,v) coordinates computed by parameterization methods. Must provide X() and Y() methods. +2D point that represents (u, v) coordinates computed by parameterization methods. Must provide X() and Y() methods. } \ccGlue \ccNestedType{Point_3} diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterization_polyhedron_adaptor_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterization_polyhedron_adaptor_3.tex index 3ae4cbf620d..b9c3ec87e4f 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterization_polyhedron_adaptor_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterization_polyhedron_adaptor_3.tex @@ -23,7 +23,7 @@ % The section below is automatically generated. Do not edit! %START-AUTO(\ccDefinition) -\ccc{Parameterization_polyhedron_adaptor_3} is an adaptor class to access to a Polyhedron 3D mesh using the \ccc{ParameterizationPatchableMesh_3} interface. Among other things, this concept defines the accessor to the (u,v) values computed by parameterizations methods. +\ccc{Parameterization_polyhedron_adaptor_3} is an adaptor class to access to a Polyhedron 3D mesh using the \ccc{ParameterizationPatchableMesh_3} interface. Among other things, this concept defines the accessor to the (u, v) values computed by parameterizations methods. Note that these interfaces are decorators that add {\em on the fly} the necessary fields to unmodified CGAL data structures (using STL maps). For performance reasons, it is recommended to use CGAL data structures enriched with the proper fields. @@ -105,7 +105,7 @@ Number type to represent coordinates. \ccGlue \ccNestedType{Point_2} { -2D point that represents (u,v) coordinates computed by parameterization methods. Must provide X() and Y() methods. +2D point that represents (u, v) coordinates computed by parameterization methods. Must provide X() and Y() methods. } \ccGlue \ccNestedType{Point_3} @@ -442,7 +442,7 @@ Get/set oriented edge's seaming flag, i.e. position of the oriented edge w.r.t. \ccGlue \ccMethod{Point_2 get_corners_uv(Vertex_const_handle vertex, Vertex_const_handle prev_vertex, Vertex_const_handle next_vertex) const;} { -Get/set the 2D position (= (u,v) pair) of corners at the {\em right} of the \ccc{prev_vertex} -$>$ vertex -$>$ \ccc{next_vertex} line. Default value is undefined. (stored in incident halfedges). +Get/set the 2D position (= (u, v) pair) of corners at the {\em right} of the \ccc{prev_vertex} -$>$ vertex -$>$ \ccc{next_vertex} line. Default value is undefined. (stored in incident halfedges). } \ccGlue \ccMethod{void set_corners_uv(Vertex_handle vertex, Vertex_const_handle prev_vertex, Vertex_const_handle next_vertex, const Point_2& uv);} diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizerTraits_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizerTraits_3.tex index 44fbb7f401e..a7d6947c79c 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizerTraits_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/ParameterizerTraits_3.tex @@ -96,7 +96,7 @@ Construction and destruction are undefined. \ccMethod{Error_code parameterize(Adaptor& mesh);} { -Compute a one-to-one mapping from a triangular 3D surface \ccc{mesh} to a piece of the 2D space. The mapping is linear by pieces (linear in each triangle). The result is the (u,v) pair image of each vertex of the 3D surface. +Compute a one-to-one mapping from a triangular 3D surface \ccc{mesh} to a piece of the 2D space. The mapping is linear by pieces (linear in each triangle). The result is the (u, v) pair image of each vertex of the 3D surface. \ccCommentHeading{Preconditions}\begin{itemize} \item \ccc{mesh} must be a surface with one connected component and no hole.\item \ccc{mesh} must be a triangular mesh. \end{itemize} } diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterizer_traits_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterizer_traits_3.tex index 23600b943ff..0497c6b3416 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterizer_traits_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Parameterizer_traits_3.tex @@ -234,7 +234,7 @@ List of errors detected by this package. \ccMethod{virtual Error_code parameterize(Adaptor& mesh);} { [pure virtual] \\ -Compute a one-to-one mapping from a 3D surface \ccc{mesh} to a piece of the 2D space. The mapping is linear by pieces (linear in each triangle). The result is the (u,v) pair image of each vertex of the 3D surface. +Compute a one-to-one mapping from a 3D surface \ccc{mesh} to a piece of the 2D space. The mapping is linear by pieces (linear in each triangle). The result is the (u, v) pair image of each vertex of the 3D surface. \ccCommentHeading{Preconditions}\begin{itemize} \item \ccc{mesh} must be a surface with one connected component.\item \ccc{mesh} must be a triangular mesh. \end{itemize} } diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Square_border_arc_length_parameterizer_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Square_border_arc_length_parameterizer_3.tex index 39f05cf9537..6dc6b565baa 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Square_border_arc_length_parameterizer_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Square_border_arc_length_parameterizer_3.tex @@ -23,7 +23,7 @@ % The section below is automatically generated. Do not edit! %START-AUTO(\ccDefinition) -This class parameterizes the border of a 3D surface onto a square, with an arc-length parameterization: (u,v) values are proportional to the length of border edges. +This class parameterizes the border of a 3D surface onto a square, with an arc-length parameterization: (u, v) values are proportional to the length of border edges. \ccc{Square_border_parameterizer_3} implements most of the border parameterization algorithm. This class implements only \ccc{compute_edge_length}() to compute a segment's length. @@ -98,7 +98,7 @@ class \ccc{Square_border_arc_length_parameterizer_3}; { [protected, virtual] \\ Compute the length of an edge. -Arc-length border parameterization: (u,v) values are proportional to the length of border edges. +Arc-length border parameterization: (u, v) values are proportional to the length of border edges. } \ccGlue diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Square_border_parameterizer_3.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Square_border_parameterizer_3.tex index 454babf0869..29c10a2ecb1 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Square_border_parameterizer_3.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/Square_border_parameterizer_3.tex @@ -102,7 +102,7 @@ Export \ccc{ParameterizationMesh_3} template parameter. \ccMethod{Parameterizer_traits_3::Error_code parameterize_border(Adaptor& mesh);} { -Assign to mesh's border vertices a 2D position (i.e. a (u,v) pair) on border's shape. Mark them as {\em parameterized}. +Assign to mesh's border vertices a 2D position (i.e. a (u, v) pair) on border's shape. Mark them as {\em parameterized}. } \ccGlue \ccMethod{bool is_border_convex();} diff --git a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/parameterize.tex b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/parameterize.tex index 1a404900cba..09eda5caf85 100644 --- a/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/parameterize.tex +++ b/Surface_mesh_parameterization/doc_tex/Surface_mesh_parameterization_ref/parameterize.tex @@ -36,7 +36,7 @@ of Floater Mean Value Coordinates. \ccFunction{template Parameterizer_traits_3::Error_code parameterize(ParameterizationMesh_3& mesh);} { Compute a one-to-one mapping from a 3D triangle surface \ccc{mesh} to a 2D circle, using Floater Mean Value Coordinates algorithm. A one-to-one mapping is guaranteed. -The mapping is piecewise linear on the input mesh triangles. The result is a (u,v) pair of parameter coordinates for each vertex of the input mesh. +The mapping is piecewise linear on the input mesh triangles. The result is a (u, v) pair of parameter coordinates for each vertex of the input mesh. \ccCommentHeading{Preconditions}\begin{itemize} \item \ccc{mesh} must be a surface with one connected component.\item \ccc{mesh} must be a triangular mesh. \end{itemize} \ccCommentHeading{Parameters} @@ -45,7 +45,7 @@ The mapping is piecewise linear on the input mesh triangles. The result is a (u, \ccGlue \ccFunction{template Parameterizer_traits_3::Error_code parameterize(ParameterizationMesh_3& mesh, ParameterizerTraits_3 parameterizer);} { -Compute a one-to-one mapping from a 3D triangle surface \ccc{mesh} to a simple 2D domain. The mapping is piecewise linear on the triangle mesh. The result is a pair (u,v) of parameter coordinates for each vertex of the input mesh. +Compute a one-to-one mapping from a 3D triangle surface \ccc{mesh} to a simple 2D domain. The mapping is piecewise linear on the triangle mesh. The result is a pair (u, v) of parameter coordinates for each vertex of the input mesh. One-to-one mapping may be guaranteed or not, depending on the chosen \ccc{ParametizerTraits_3} algorithm. \ccCommentHeading{Preconditions}\begin{itemize} \item \ccc{mesh} must be a surface with one connected component.\item \ccc{mesh} must be a triangular mesh.\item the mesh border must be mapped onto a convex polygon (for fixed border parameterizations). \end{itemize}