mirror of https://github.com/CGAL/cgal
use figure macros
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@ -17,7 +17,7 @@ defined as
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where \f$ \|{p-z}\|\f$ is the Euclidean distance between \f$ p\f$ and \f$ z\f$.
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\f$ {p}^{(w)}\f$ and \f$ {z}^{(w)}\f$
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are said to be <I>orthogonal</I> if \f$ \Pi{({p}^{(w)}-{z}^{(w)})}
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= 0\f$ (see Figure \ref Triangulation3figortho).
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= 0\f$ (see Figure \cgalFigureRef{Triangulation3figortho}).
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Four weighted points have a unique common orthogonal weighted point called
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the <I>power sphere</I>. A sphere \f$ {z}^{(w)}\f$ is said to be
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@ -47,8 +47,9 @@ of the underlying Euclidean space \f$ \R^3\f$ (see
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indexed with 0, 1, 2, 3 in such a way that the neighbor indexed by \f$ i\f$
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is opposite to the vertex with the same index.
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\anchor Triangulation3figorient
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\image html orient.gif "Orientation of a cell (3-dimensional case)."
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\cgalFigureBegin{Triangulation3figorient,orient.gif}
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Orientation of a cell (3-dimensional case).
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\cgalFigureEnd
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As in the underlying combinatorial triangulation (see
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Chapter \ref chapterTDS3 "3D Triangulation Data Structure"),
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@ -545,6 +546,7 @@ version 4.3.2, under Linux (Fedora 10 distribution), with the compilation option
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<TT>-O3 -DCGAL_NDEBUG</TT>. The computer used was equipped with a 64bit Intel
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Xeon 3GHz processor and 32GB of RAM (a recent desktop machine as of 2009).
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\cgalFigureAnchor{Triangulation3figbenchmarks}
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<CENTER>
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<TABLE CELLSPACING=5 >
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<TR><TD ALIGN=LEFT NOWRAP COLSPAN=5><HR>
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@ -718,10 +720,10 @@ Vertex removal
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1.38e-04
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<TR><TD ALIGN=LEFT NOWRAP COLSPAN=5><HR>
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</TABLE>
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</CENTER>
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CAPTION Running times in seconds for algorithms on 3D triangulations.
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\anchor Triangulation3figbenchmarks
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\cgalFigureCaptionBegin{Triangulation3figbenchmarks}
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Running times in seconds for algorithms on 3D triangulations.
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\cgalFigureCaptionEnd
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More benchmarks comparing \cgal to other software can be found
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in \cite msri52:liu-snoeyink-05.
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@ -752,6 +754,7 @@ internal bookkeeping is otherwise on the order of \f$ O(\sqrt{n})\f$.
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points, as measured empirically using `Memory_sizer` for large triangulations
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(\f$ 10^6\f$ random points).
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\cgalFigureAnchor{Triangulation3figmemory}
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<CENTER>
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<TABLE CELLSPACING=5 >
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<TR><TD ALIGN=LEFT NOWRAP COLSPAN=5><HR>
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@ -803,10 +806,10 @@ points, as measured empirically using `Memory_sizer` for large triangulations
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527
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<TR><TD ALIGN=LEFT NOWRAP COLSPAN=5><HR>
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</TABLE>
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</CENTER>
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CAPTION Memory usage in bytes per point for large data sets.
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\anchor Triangulation3figmemory
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\cgalFigureCaptionBegin{Triangulation3figmemory}
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Memory usage in bytes per point for large data sets.
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\cgalFigureCaptionEnd
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\subsection Triangulation_3VariabilityDependingonthe Variability Depending on the Data Sets and the Kernel
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@ -855,7 +858,7 @@ triangulation. General introductory information about these robustness issues
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can be found in \cite cgta-kmpsy-08. More benchmarks around this issue can
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also be found in \cite cgal:dp-eegpd-03.
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\anchor Triangulation3figkernelsanddatasets
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\cgalFigureAnchor{Triangulation3figkernelsanddatasets}
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<CENTER>
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<TABLE CELLSPACING=5 >
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<TR><TD ALIGN=LEFT NOWRAP COLSPAN=6><HR>
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@ -956,8 +959,10 @@ Number of points
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75.2
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<TR><TD ALIGN=LEFT NOWRAP COLSPAN=6><HR>
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</TABLE>
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<b>Running times (seconds) for various kernels and data sets.</b>
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</CENTER>
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\cgalFigureCaptionBegin{Triangulation3figkernelsanddatasets}
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Running times (seconds) for various kernels and data sets.
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\cgalFigureCaptionEnd
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\cgalFigureBegin{Triangulation3figdatasets,api1_01.gif,b35-1.gif,HD.gif}
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