mirror of https://github.com/CGAL/cgal
Fix typo around colon: no space before (thus no breakable space either)
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@ -55,7 +55,7 @@ and edges.
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xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx \\
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Remarks : \\
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Remarks: \\
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1) we should define a concept of 3D triangulation. \\
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2) I don't see anymore \ccc{Triangulation}
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@ -22,7 +22,7 @@ The concept \ccRefName\ describes a data structure
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designed to represent a two dimensional pure complex
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embedded in a three dimensional triangulation.
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A {\em complex} is a set $C$ of faces such that~:\\
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A {\em complex} is a set $C$ of faces such that:\\
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- any subface of a face in $C$ is a face of $C$ \\
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- two faces of $C$ are disjoint or share a common subface \\
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The complex is {\em two dimensional}, if its faces have dimension at most
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@ -37,7 +37,7 @@ in the global function \ccc{make_surface_mesh<C2T3,Oracle,Criteria,Tag>}.
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\ccc{PureComplex_2InTriangulation_3}
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WARNING :
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WARNING:
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Currently the class \ccRefName\ does not implement the
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whole concept \ccc{PureComplex_2InTriangulation_3}
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but just what is needed to be used as the first parameter
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@ -108,7 +108,7 @@ meshing algorithm, see Section~\ref{SurfaceMesher_section_variations}
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A call to
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\ccc{surface_mesher(c2t3,surf,criteria) } launches
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the meshing process with an initial
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set of points which is the union of two subsets :
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set of points which is the union of two subsets:
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the set of vertices in the initial triangulation pointed to by \ccc{c2t3},
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and a set of points provided by the \ccc{initial_points()} method
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of the oracle \ccc{surf}. This initial set of points is required
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@ -128,7 +128,7 @@ takes three numerical values \ccc{(x,y,z)} of type \ccc{FT}
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and returns a value of type \ccc{FT} which is the function $f(x,y,z)$.
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The default meshing criteria are are determined by three numerical
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values~: \\
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values: \\
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\ccc{angular_bound} is a lower bound in degrees for the angles
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of mesh facets.\\
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\ccc{radius_bound} is an upper bound on the radii of surface Delaunay
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@ -181,12 +181,12 @@ with the size of the mesh expected by the user,
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and still have a guarantee that
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the output mesh forms a manifold surface.
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The function \ccc{make_surface_mesh} has specialized versions
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for the following tag types~: \\
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\ccc{Manifold_tag} : the output mesh is guaranteed to be a manifold
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for the following tag types: \\
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\ccc{Manifold_tag}: the output mesh is guaranteed to be a manifold
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surface without boundary.\\
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\ccc{Manifold_with_boundary_tag}~:the output mesh is guaranteed to be
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\ccc{Manifold_with_boundary_tag}:the output mesh is guaranteed to be
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manifold but may have boundaries.\\
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\ccc{Non_manifold_tag} : the algorithm relies on the given criteria and
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\ccc{Non_manifold_tag}: the algorithm relies on the given criteria and
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guarantees nothing else.
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\section{Implementation}
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@ -24,7 +24,7 @@ set of a function \begin{math}f : \R^3 \longrightarrow \R\end{math}.
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The library provides a partial specialization
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of the surface mesher traits generator~:
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of the surface mesher traits generator:
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\ccc{Surface_mesh_traits_generator_3<Implicit_surface_3<Traits, Function> >}
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that provides a model of \ccc{SurfaceMeshTraits_3} for this type of surfaces.
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@ -33,7 +33,7 @@ The parameter \ccc{Traits} is a traits class
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that has to be implemented with a model of
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\ccc{ImplicitSurfaceTraits_3}.
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Actually, this traits class implements the oracle needed by the
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surface mesher~:
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surface mesher:
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the types, predicates and constructors objects provided
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in \ccc{Traits} are
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used in
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@ -22,7 +22,7 @@ The concept \ccRefName\ describes a data structure
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designed to represent a two dimensional pure complex
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embedded in a three dimensional triangulation.
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A {\em complex} is a set $C$ of faces such that~:\\
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A {\em complex} is a set $C$ of faces such that:\\
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- any subface of a face in $C$ is a face of $C$ \\
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- two faces of $C$ are disjoint or share a common subface \\
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The complex is {\em two dimensional}, if its faces have dimension at most
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@ -16,7 +16,7 @@
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The class \ccRefName\ implements the most commonly used combination
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of meshing criteria. It involves mainly three criteria which are
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in order~: \\
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in order: \\
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- a lower bound on the minimum angle of the surface mesh facets. \\
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- an upper bound on the radius of surface Delaunay balls.
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A surface Delaunay ball is a ball circumscribing a facet,
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@ -25,7 +25,7 @@ that is a function to build a two dimensional mesh
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approximating a surface.
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The library provides two overloaded version
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of this function~:
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of this function:
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