Commit code and doc review

Still issue and lot of logs in simplex_tree::prune_above_filtration



git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/alphashapes@945 636b058d-ea47-450e-bf9e-a15bfbe3eedb

Former-commit-id: cd4f60ddcacb0444e0eb3b9323d8042eb49b132e

9 files changed, 73 insertions, 77 deletions

diff --git a/src/Alpha_complex/doc/Intro_alpha_complex.h b/src/Alpha_complex/doc/Intro_alpha_complex.h
index 685a4c2f..12d62ac0 100644
--- a/src/Alpha_complex/doc/Intro_alpha_complex.h
+++ b/src/Alpha_complex/doc/Intro_alpha_complex.h
@@ -37,10 +37,10 @@ namespace alphacomplex {
  * \section definition Definition
  * 
  * Alpha_complex is a <a target="_blank" href="https://en.wikipedia.org/wiki/Simplicial_complex">simplicial complex</a>
- * constructed from each finite cell of a Delaunay Triangulation.
+ * constructed from the finite cells of a Delaunay Triangulation.
  * 
- * The filtration value of each simplex is computed from the alpha square value of the simplex if it is Gabriel or
- * from the alpha value of the simplex coface that makes the simplex not Gabriel.
+ * The filtration value of each simplex is computed from the circumradius of the simplex if it is Gabriel or
+ * from the alpha value of the simplex cofaces that make it not Gabriel.
  * 
  * All simplices that have a filtration value strictly greater than a given alpha square value are not inserted into
  * the simplex.
@@ -78,7 +78,7 @@ namespace alphacomplex {
  * 
  * \subsection datastructure Data structure
  * 
- * In order to build the alpha complex, first, a Simplex tree is build from the cells of a Delaunay Triangulation.
+ * In order to build the alpha complex, first, a Simplex tree is built from the cells of a Delaunay Triangulation.
  * (The filtration value is set to NaN, which stands for unknown value):
  * \image html "alpha_complex_doc.png" "Simplex tree structure construction example"
  *
diff --git a/src/Alpha_complex/doc/alpha_complex_doc.ipe b/src/Alpha_complex/doc/alpha_complex_doc.ipe
index b5601143..e74f9bc4 100644
--- a/src/Alpha_complex/doc/alpha_complex_doc.ipe
+++ b/src/Alpha_complex/doc/alpha_complex_doc.ipe
@@ -1,7 +1,7 @@
 <?xml version="1.0"?>
 <!DOCTYPE ipe SYSTEM "ipe.dtd">
-<ipe version="70005" creator="Ipe 7.1.4">
-<info created="D:20150603143945" modified="D:20150831170130"/>
+<ipe version="70107" creator="Ipe 7.1.10">
+<info created="D:20150603143945" modified="D:20151130095407"/>
 <ipestyle name="basic">
 <symbol name="arrow/arc(spx)">
 <path stroke="sym-stroke" fill="sym-stroke" pen="sym-pen">
@@ -202,13 +202,13 @@ h
 <dashstyle name="dash dotted" value="[4 2 1 2] 0"/>
 <dashstyle name="dash dot dotted" value="[4 2 1 2 1 2] 0"/>
 <textsize name="large" value="\large"/>
+<textsize name="small" value="\small"/>
+<textsize name="tiny" value="\tiny"/>
 <textsize name="Large" value="\Large"/>
 <textsize name="LARGE" value="\LARGE"/>
 <textsize name="huge" value="\huge"/>
 <textsize name="Huge" value="\Huge"/>
-<textsize name="small" value="\small"/>
 <textsize name="footnote" value="\footnotesize"/>
-<textsize name="tiny" value="\tiny"/>
 <textstyle name="center" begin="\begin{center}" end="\end{center}"/>
 <textstyle name="itemize" begin="\begin{itemize}" end="\end{itemize}"/>
 <textstyle name="item" begin="\begin{itemize}\item{}" end="\end{itemize}"/>
@@ -232,14 +232,7 @@ h
 <page>
 <layer name="alpha"/>
 <view layers="alpha" active="alpha"/>
-<use layer="alpha" matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -239.3 -10.1537" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
-<path matrix="1 0 0 1 -240 0" stroke="darkcyan">
+<path layer="alpha" matrix="1 0 0 1 -240 0" stroke="darkcyan">
 320 580 m
 350 520 l
 290 530 l
@@ -434,5 +427,12 @@ h
 280 610 m
 170 610 l
 </path>
+<use matrix="1 0 0 1 -239.3 -10.1537" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -240 0" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
 </page>
 </ipe>
diff --git a/src/Alpha_complex/doc/alpha_complex_doc.png b/src/Alpha_complex/doc/alpha_complex_doc.png
index 601ac051..c9eab275 100644
--- a/src/Alpha_complex/doc/alpha_complex_doc.png
+++ b/src/Alpha_complex/doc/alpha_complex_doc.png
diff --git a/src/Alpha_complex/doc/alpha_complex_doc_135.ipe b/src/Alpha_complex/doc/alpha_complex_doc_135.ipe
index 28b893b8..5d1d29d4 100644
--- a/src/Alpha_complex/doc/alpha_complex_doc_135.ipe
+++ b/src/Alpha_complex/doc/alpha_complex_doc_135.ipe
@@ -1,7 +1,7 @@
 <?xml version="1.0"?>
 <!DOCTYPE ipe SYSTEM "ipe.dtd">
-<ipe version="70005" creator="Ipe 7.1.4">
-<info created="D:20150603143945" modified="D:20150901093044"/>
+<ipe version="70107" creator="Ipe 7.1.10">
+<info created="D:20150603143945" modified="D:20151130095019"/>
 <ipestyle name="basic">
 <symbol name="arrow/arc(spx)">
 <path stroke="sym-stroke" fill="sym-stroke" pen="sym-pen">
@@ -202,13 +202,13 @@ h
 <dashstyle name="dash dotted" value="[4 2 1 2] 0"/>
 <dashstyle name="dash dot dotted" value="[4 2 1 2 1 2] 0"/>
 <textsize name="large" value="\large"/>
+<textsize name="small" value="\small"/>
+<textsize name="tiny" value="\tiny"/>
 <textsize name="Large" value="\Large"/>
 <textsize name="LARGE" value="\LARGE"/>
 <textsize name="huge" value="\huge"/>
 <textsize name="Huge" value="\Huge"/>
-<textsize name="small" value="\small"/>
 <textsize name="footnote" value="\footnotesize"/>
-<textsize name="tiny" value="\tiny"/>
 <textstyle name="center" begin="\begin{center}" end="\end{center}"/>
 <textstyle name="itemize" begin="\begin{itemize}" end="\end{itemize}"/>
 <textstyle name="item" begin="\begin{itemize}\item{}" end="\end{itemize}"/>
@@ -232,14 +232,7 @@ h
 <page>
 <layer name="alpha"/>
 <view layers="alpha" active="alpha"/>
-<use layer="alpha" matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 0.700256 69.8463" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
-<path matrix="1 0 0 1 0 80" stroke="lightgray">
+<path layer="alpha" matrix="1 0 0 1 0 80" stroke="lightgray">
 320 580 m
 350 520 l
 290 530 l
@@ -288,19 +281,11 @@ h
 <path matrix="1 0 0 1 0 80" stroke="darkcyan">
 77.2727 0 0 77.2727 243.636 591.818 e
 </path>
-<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="243.636 591.818" size="normal" stroke="darkcyan" fill="white"/>
 <path matrix="1 0 0 1 0 80" stroke="darkcyan">
 243.428 591.569 m
 186.061 643.28 l
 </path>
 <text matrix="1 0 0 1 0 80" transformations="translations" pos="212.724 627.389" stroke="darkcyan" type="label" width="18.785" height="4.294" depth="1.49" valign="baseline">$\alpha_{420}$</text>
-<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -263.3 -172.154" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
 <path matrix="1 0 0 1 -264 -162" stroke="lightgray">
 320 580 m
 350 520 l
@@ -325,7 +310,6 @@ h
 modified (NaN)
 </text>
 <text matrix="1 0 0 1 -266.155 -165.501" transformations="translations" pos="282.952 524.893" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">0</text>
-<text matrix="1 0 0 1 -264 -162" transformations="translations" pos="352.708 510.349" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">1</text>
 <text matrix="1 0 0 1 -264 -162" transformations="translations" pos="310.693 578.759" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">2</text>
 <text matrix="1 0 0 1 -264 -162" transformations="translations" pos="375.332 578.49" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">3</text>
 <text matrix="1 0 0 1 -264 -172" transformations="translations" pos="272.179 660.635" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">4</text>
@@ -357,18 +341,10 @@ modified (NaN)
 <path matrix="1 0 0 1 -264 -162" stroke="darkcyan">
 29.1548 0 0 29.1548 305 555 e
 </path>
-<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="305 555" size="normal" stroke="darkcyan" fill="white"/>
 <path matrix="1 0 0 1 -264 -162" stroke="darkcyan">
 304.883 555.015 m
 334.509 555.015 l
 </path>
-<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -37.2997 -174.154" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="darkred" fill="white"/>
-<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
 <path matrix="1 0 0 1 -37.2997 -163.65" stroke="lightgray">
 320 580 m
 350 520 l
@@ -391,10 +367,7 @@ modified (NaN)
 </path>
 <text matrix="1 0 0 1 -199.21 -189.117" transformations="translations" pos="380 530" stroke="darkred" type="label" width="168.308" height="8.965" depth="2.99" valign="baseline" size="large">[0,4] is not Gabriel $\rightarrow$ $\alpha_{40} = \alpha_{420}$</text>
 <text matrix="1 0 0 1 -40.1546 -167.501" transformations="translations" pos="282.952 524.893" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">0</text>
-<text matrix="1 0 0 1 -38 -164" transformations="translations" pos="352.708 510.349" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">1</text>
-<text matrix="1 0 0 1 -38 -164" transformations="translations" pos="310.693 578.759" stroke="darkred" type="label" width="4.981" height="6.42" depth="0" valign="baseline">2</text>
 <text matrix="1 0 0 1 -38 -164" transformations="translations" pos="375.332 578.49" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">3</text>
-<text matrix="1 0 0 1 -38 -164" transformations="translations" pos="272.179 660.635" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">4</text>
 <text matrix="1 0 0 1 -37.2997 -174.154" transformations="translations" pos="296.419 724.197" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">5</text>
 <text matrix="1 0 0 1 -38 -164" transformations="translations" pos="375.332 689.453" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">6</text>
 <path matrix="1 0 0 1 -38 -164" stroke="lightgray">
@@ -420,16 +393,6 @@ modified (NaN)
 290 530 m
 280 660 l
 </path>
-<path matrix="1 0 0 1 -38 -164" stroke="darkred" pen="heavier">
-65.192 0 0 65.192 285 595 e
-</path>
-<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 126.7 -172.154" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="black" fill="white"/>
-<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
 <path matrix="1 0 0 1 126 -162" stroke="lightgray">
 320 580 m
 350 520 l
@@ -483,7 +446,6 @@ modified (NaN)
 <path stroke="darkcyan">
 44.5799 0 0 44.5799 425.934 457.774 e
 </path>
-<use name="mark/fdisk(sfx)" pos="425.934 457.774" size="normal" stroke="darkcyan" fill="white"/>
 <path stroke="darkcyan">
 425.854 457.774 m
 470.795 457.774 l
@@ -505,10 +467,48 @@ modified (NaN)
 <text matrix="1 0 0 1 39.645 -2.36686" transformations="translations" pos="199.703 569.464" stroke="darkblue" type="label" width="93.206" height="7.473" depth="2.49" valign="baseline">For all faces of [4,2,0]</text>
 <text matrix="1 0 0 1 -93.391 2.68003" transformations="translations" pos="104.437 300.174" stroke="black" type="label" width="208.621" height="6.926" depth="1.93" valign="baseline">N.B. : is Gabriel on a single point has no sense.</text>
 <text matrix="1 0 0 1 -36.9231 10" transformations="translations" pos="48 784" stroke="black" type="label" width="118.324" height="7.473" depth="2.49" valign="baseline">Dimension =2 - $\sigma$ = [4,2,0]</text>
-<use name="mark/fdisk(sfx)" pos="247 431" size="normal" stroke="darkcyan" fill="white"/>
 <path stroke="darkcyan">
 247.333 430.892 m
 311.764 430.892 l
 </path>
+<use matrix="1 0 0 1 0.700256 69.8463" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="243.636 591.818" size="normal" stroke="darkcyan" fill="white"/>
+<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 0 80" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -263.3 -172.154" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
+<text matrix="1 0 0 1 -264 -162" transformations="translations" pos="352.708 510.349" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">1</text>
+<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="305 555" size="normal" stroke="darkcyan" fill="white"/>
+<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -264 -162" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -37.2997 -174.154" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
+<text matrix="1 0 0 1 -38 -164" transformations="translations" pos="272.179 660.635" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">4</text>
+<use name="mark/fdisk(sfx)" pos="247 431" size="normal" stroke="darkcyan" fill="white"/>
+<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
+<text matrix="1 0 0 1 -38 -164" transformations="translations" pos="352.708 510.349" stroke="black" type="label" width="4.981" height="6.42" depth="0" valign="baseline">1</text>
+<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="darkred" fill="white"/>
+<text matrix="1 0 0 1 -38 -164" transformations="translations" pos="310.693 578.759" stroke="darkred" type="label" width="4.981" height="6.42" depth="0" valign="baseline">2</text>
+<path matrix="1 0 0 1 -38 -164" stroke="darkred" pen="heavier">
+65.192 0 0 65.192 285 595 e
+</path>
+<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="290 530" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 126.7 -172.154" name="mark/fdisk(sfx)" pos="300 720" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="370 690" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
+<use name="mark/fdisk(sfx)" pos="425.934 457.774" size="normal" stroke="darkcyan" fill="white"/>
+<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="320 580" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="370 580" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 126 -162" name="mark/fdisk(sfx)" pos="350 520" size="normal" stroke="black" fill="white"/>
+<use matrix="1 0 0 1 -38 -164" name="mark/fdisk(sfx)" pos="280 660" size="normal" stroke="black" fill="white"/>
 </page>
 </ipe>
diff --git a/src/Alpha_complex/doc/alpha_complex_doc_135.png b/src/Alpha_complex/doc/alpha_complex_doc_135.png
index 5dce5edd..ef7187f7 100644
--- a/src/Alpha_complex/doc/alpha_complex_doc_135.png
+++ b/src/Alpha_complex/doc/alpha_complex_doc_135.png
diff --git a/src/Alpha_complex/doc/alpha_complex_representation.png b/src/Alpha_complex/doc/alpha_complex_representation.png
new file mode 100644
index 00000000..06e54c06
--- /dev/null
+++ b/src/Alpha_complex/doc/alpha_complex_representation.png
diff --git a/src/Alpha_complex/example/Alpha_complex_from_points.cpp b/src/Alpha_complex/example/Alpha_complex_from_points.cpp
index 62f594d1..00e988a6 100644
--- a/src/Alpha_complex/example/Alpha_complex_from_points.cpp
+++ b/src/Alpha_complex/example/Alpha_complex_from_points.cpp
@@ -30,21 +30,13 @@ int main(int argc, char **argv) {
   // Init of a list of points
   // ----------------------------------------------------------------------------
   Vector_of_points points;
-
-  std::vector<double> coords = { 1.0, 1.0 };
-  points.push_back(Point(coords.begin(), coords.end()));
-  coords = { 7.0, 0.0 };
-  points.push_back(Point(coords.begin(), coords.end()));
-  coords = { 4.0, 6.0 };
-  points.push_back(Point(coords.begin(), coords.end()));
-  coords = { 9.0, 6.0 };
-  points.push_back(Point(coords.begin(), coords.end()));
-  coords = { 0.0, 14.0 };
-  points.push_back(Point(coords.begin(), coords.end()));
-  coords = { 2.0, 19.0 };
-  points.push_back(Point(coords.begin(), coords.end()));
-  coords = { 9.0, 17.0 };
-  points.push_back(Point(coords.begin(), coords.end()));
+  points.push_back(Point(1.0, 1.0));
+  points.push_back(Point(7.0, 0.0));
+  points.push_back(Point(4.0, 6.0));
+  points.push_back(Point(9.0, 6.0));
+  points.push_back(Point(0.0, 14.0));
+  points.push_back(Point(2.0, 19.0));
+  points.push_back(Point(9.0, 17.0));
 
   // ----------------------------------------------------------------------------
   // Init of an alpha complex from the list of points
diff --git a/src/Alpha_complex/include/gudhi/Alpha_complex.h b/src/Alpha_complex/include/gudhi/Alpha_complex.h
index 2dae4028..9f931066 100644
--- a/src/Alpha_complex/include/gudhi/Alpha_complex.h
+++ b/src/Alpha_complex/include/gudhi/Alpha_complex.h
@@ -125,7 +125,9 @@ class Alpha_complex : public Simplex_tree<> {
 
   /** \brief Alpha_complex constructor from a Delaunay triangulation.
    *
-   * @param[in] triangulation_ptr Pointer on a Delaunay triangulation.
+   * @param[in] triangulation_ptr Pointer on a <a target="_blank"
+   * href="http://doc.cgal.org/latest/Triangulation/index.html#Chapter_Triangulations">
+   * CGAL::Delaunay_triangulation<Kernel></a> \cite cgal:hdj-t-15b.
    * @param[in] max_alpha_square maximum for alpha square value. Default value is +\f$\infty\f$.
    */
   Alpha_complex(Delaunay_triangulation* triangulation_ptr,
@@ -170,7 +172,7 @@ class Alpha_complex : public Simplex_tree<> {
     }
   }
 
-  /** \brief Alpha_complex destructor from a Delaunay triangulation.
+  /** \brief Alpha_complex destructor.
    *
    * @warning Deletes the Delaunay triangulation.
    */
diff --git a/src/Alpha_complex/test/CMakeLists.txt b/src/Alpha_complex/test/CMakeLists.txt
index fa24e1b1..d7c13da0 100644
--- a/src/Alpha_complex/test/CMakeLists.txt
+++ b/src/Alpha_complex/test/CMakeLists.txt
@@ -18,6 +18,8 @@ if(CGAL_FOUND)
       add_executable ( AlphaComplexUT Alpha_complex_unit_test.cpp )
       target_link_libraries(AlphaComplexUT  ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY} ${Boost_UNIT_TEST_FRAMEWORK_LIBRARY})
 
+      add_executable ( cerr cerr.cpp )
+
       # Do not forget to copy test files in current binary dir
       file(COPY "${CMAKE_SOURCE_DIR}/data/points/alphacomplexdoc.off" DESTINATION ${CMAKE_CURRENT_BINARY_DIR}/)