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small changes to the documentation
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@ -1420,6 +1420,8 @@ Segment_Delaunay_graph_2/doc_tex/Segment_Delaunay_graph_2_ref/sdg-join_split.eps
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Segment_Delaunay_graph_2/doc_tex/Segment_Delaunay_graph_2_ref/sdg-join_split.fig -text
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Segment_Delaunay_graph_2/doc_tex/Segment_Delaunay_graph_2_ref/sdg-join_split.gif -text svneol=unset#unset
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Segment_Delaunay_graph_2/doc_tex/Segment_Delaunay_graph_2_ref/sdg-join_split.pdf -text svneol=unset#unset
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Skin_surface_3/doc_tex/Skin_surface_3/convexTwoPoints.eps -text
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Skin_surface_3/doc_tex/Skin_surface_3/convexTwoPoints.png -text
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Skin_surface_3/doc_tex/Skin_surface_3/marching.eps -text
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Skin_surface_3/doc_tex/Skin_surface_3/marching.png -text
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Skin_surface_3/doc_tex/Skin_surface_3/molecule.eps -text
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@ -43,8 +43,8 @@ model of the concept \ccc{Surface_3}.
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\begin{figure}
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\begin{ccTexOnly}
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\begin{center}
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\includegraphics[width=.25\textwidth]{Skin_surface_3/convexTwoPoints}
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\includegraphics[width=.25\textwidth]{Skin_surface_3/skinTwoPoints}
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% \includegraphics[width=.25\textwidth]{Skin_surface_3/skinTwoPoints}
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\end{center}
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\end{ccTexOnly}
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\begin{ccHtmlOnly}
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@ -54,10 +54,11 @@ model of the concept \ccc{Surface_3}.
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curve of two weighted points">
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</center>
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\end{ccHtmlOnly}
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\caption{\label{fig:twoPoints} The skin curve of two weighted points
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(the two dashed circles). The smaller circles form a subset of the
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shrunk convex hull of the input points. Its boundary forms the skin
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curve. }
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\caption{\label{fig:twoPoints} Left: Convex combinations of two
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weighted points (the two dashed circles). Right: The skin curve of
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the weighted points. The smaller circles form a subset of the
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shrunk convex hull of the input points. Its boundary forms the
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skin curve. }
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\end{figure}
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This section first briefly reviews skin surfaces. For a more thorough
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@ -88,7 +89,7 @@ spheres we refer to \cite{p-gcc-70}.
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Starting from a weighted point $\ssWpoint{p}=({p},\textsc{P})$, the
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shrunk weighted point $\ssWpoint{p}^s$ is obtained by taking a convex
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combination with the unweighted point centered at $p$, formally
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$\ssWpoint{p}^s = s \ssWpoint{p} + (1-s) p$. A simple calculations
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$\ssWpoint{p}^s = s \ssWpoint{p} + (1-s) p$. A simple calculation
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shows that, $\ssWpoint{p}^s = ({p},s\cdot \textsc{p})$. The set
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$\ssWpoint{P}^s$ is the set obtained by shrinking every weighted point
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of $\ssWpoint{P}$ by a factor $s$. The shrunk weighted points of
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@ -113,13 +114,13 @@ set of balls.
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%pieces quadrics.
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\section{The interface}
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The interface to the skin surface package consists of three distinct
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global functions and a class \ccc{Skin_surface_3} which is a model of
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the concept \ccc{Surface_3}. The first function takes a list of
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weighted points and a shrink factor and outputs a
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\ccc{Skin_surface_3}. The parameter \ccc{Tag} is a tag that controls
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whether the input balls are grown in such a way that the skin surface
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wraps around the input balls. There are two overloaded functions:
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The interface to the skin surface package consists of three global
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functions and a class \ccc{Skin_surface_3} which is a model of the
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concept \ccc{Surface_3}. The first function takes a list of weighted
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points and a shrink factor and outputs a \ccc{Skin_surface_3}. The
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parameter \ccc{Tag} is a tag that controls whether the input balls are
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grown in such a way that the skin surface wraps around the input
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balls. There are two overloaded functions:
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\ccGlobalFunction{template <class Iterator,
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class FT,
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