18 files changed, 234 insertions, 1012 deletions

diff --git a/src/Nerve_GIC/doc/Intro_graph_induced_complex.h b/src/Nerve_GIC/doc/Intro_graph_induced_complex.h
index 95c0ca40..c03d37d8 100644
--- a/src/Nerve_GIC/doc/Intro_graph_induced_complex.h
+++ b/src/Nerve_GIC/doc/Intro_graph_induced_complex.h
@@ -33,7 +33,10 @@ namespace graph_induced_complex {
  * 
  * @{
  * 
- * Visualizations of the simplicial complexes require neato, python and firefox!!
+ * Visualizations of the simplicial complexes can be done with either
+ * <a target="_blank" href=""> neato </a>,
+ * <a target="_blank" href=""> geomview </a>, or
+ * <a target="_blank" href=""> python </a> + <a target="_blank" href=""> firefox </a>.
  *
  * \section covers Covers
  *
@@ -65,19 +68,27 @@ namespace graph_induced_complex {
  *
  * When launching:
  *
- * \code $> ./Nerve ../../../data/points/human.off 2 10 0.3 --v
+ * \code $> ./Nerve ../../../../data/points/human.off 2 10 0.3 --v
  * \endcode
  *
  * the program output is:
  *
  * \include Nerve_GIC/Nerve.txt
  *
- * The first three lines are requirements for visualization with Kepler-Mapper.
+ * The program also writes a file SC.txt.
+ * The first three lines in this file are requirements for visualization with Kepler-Mapper.
  * The fourth line contains the number of vertices nv and edges ne of the Nerve.
  * The next nv lines represent the vertices. Each line contains the vertex ID,
  * the number of data points it contains, and their average color function value.
  * Finally, the next ne lines represent the edges, characterized by the ID of their vertices.
+ * Using e.g.
  *
+ * \code $> python visu.py && firefox SC.html
+ * \endcode
+ *
+ * one can obtain the following visualization:
+ *
+ * \image html "nervevisu.png" "Visualization with Kepler Mapper"
  *
  * \section gic Graph Induced Complexes (GIC)
  *
@@ -90,7 +101,8 @@ namespace graph_induced_complex {
  * See <a target="_blank" href="https://arxiv.org/abs/1304.0662"> this article </a>
  * for more details.
  *
- * \image html "gic_complex.png" "GIC of a point cloud."
+ * \image html "gic_complex.png" "GIC of a point cloud. Image taken from
+ * <a target="_blank" href="https://arxiv.org/abs/1304.0662"> this article </a>"
  *
  * \subsection gicexample Example with cover from function
  *
@@ -105,12 +117,12 @@ namespace graph_induced_complex {
  *
  * When launching:
  *
- * \code $> ./GIC ../../../data/points/human.off 0.075 2 0.075 0 --v
+ * \code $> ./GIC ../../../../data/points/human.off 0.075 2 0.075 0 --v
  * \endcode
  *
- * the program output is:
+ * the program outputs SC.txt, which can be visualized with python and firefox as before:
  *
- * \include Nerve_GIC/GIC.txt
+ * \image html "gicvisu.png" "Visualization with Kepler Mapper"
  *
  * \subsection gicexamplevor Example with cover from Voronoï
  *
@@ -124,12 +136,17 @@ namespace graph_induced_complex {
  *
  * When launching:
  *
- * \code $> ./GICvoronoi ../../../data/points/human.off 100 --v
+ * \code $> ./GICvoronoi ../../../../data/points/human.off 100 --v
  * \endcode
  *
- * the program output is:
+ * the program outputs SC.off. Using e.g.
+ *
+ * \code $> geomview SC.off
+ * \endcode
  *
- * \include Nerve_GIC/GICvoronoi.txt
+ * one can obtain the following visualization:
+ *
+ * \image html "gicvoronoivisu.png" "Visualization with Geomview"
  *
  * \subsection mapperdeltadefinition Mapper Delta
  *
@@ -143,9 +160,9 @@ namespace graph_induced_complex {
  *
  * Mapper Delta comes with optimal selection for the Rips threshold,
  * the resolution and the gain of the function cover. In this example,
- * we compute the Mapper Delta of a point cloud sampled on a 3D human shape (human.off),
+ * we compute the Mapper Delta of a Klein bottle embedded in R^5,
  * where the graph G comes from a Rips complex with optimal threshold,
- * and the cover C comes from the preimages of intervals covering the height function (coordinate 2),
+ * and the cover C comes from the preimages of intervals covering the first coordinate,
  * with optimal resolution and gain. Note that optimal threshold, resolution and gain
  * also exist for the Nerve of this cover.
  *
@@ -153,12 +170,17 @@ namespace graph_induced_complex {
  *
  * When launching:
  *
- * \code $> ./MapperDeltaCoord ../../../data/points/human.off 2 --v
+ * \code $> ./MapperDeltaCoord ../../../../data/points/KleinBottle5D.off 0 --v
  * \endcode
  *
- * the program output is:
+ * the program outputs SC.dot. Using e.g.
+ *
+ * \code $> neato SC.dot -Tpdf -o SC.pdf
+ * \endcode
+ *
+ * one can obtain the following visualization:
  *
- * \include MapperDeltaCoord.txt
+ * \image html "mapperdeltacoordvisu2.pdf" "Visualization with Neato"
  *
  * We also provide an example on a set of 72 pictures taken around the same object (lucky_cat.off).
  * The function is now the first eigenfunction given by PCA, whose values
@@ -168,12 +190,12 @@ namespace graph_induced_complex {
  *
  * When launching:
  *
- * \code $> ./MapperDeltaFunc ../../../data/points/COIL_database/lucky_cat.off ../../../data/points/COIL_database/lucky_cat_PCA1 --v
+ * \code $> ./MapperDeltaFunc ../../../../data/points/COIL_database/lucky_cat.off ../../../../data/points/COIL_database/lucky_cat_PCA1 --v
  * \endcode
  *
- * the program output is:
+ * the program outputs again SC.dot which gives the following visualization after using neato:
  *
- * \include MapperDeltaFunc.dot
+ * \image html "mapperdeltafuncvisu.pdf" "Visualization with Neato"
  *
  * \copyright GNU General Public License v3.                         
  * \verbatim  Contact: gudhi-users@lists.gforge.inria.fr \endverbatim
diff --git a/src/Nerve_GIC/doc/gicvisu.png b/src/Nerve_GIC/doc/gicvisu.png
new file mode 100644
index 00000000..d04b94e4
--- /dev/null
+++ b/src/Nerve_GIC/doc/gicvisu.png
diff --git a/src/Nerve_GIC/doc/gicvoronoivisu b/src/Nerve_GIC/doc/gicvoronoivisu
new file mode 100644
index 00000000..ccc756ae
--- /dev/null
+++ b/src/Nerve_GIC/doc/gicvoronoivisu
@@ -0,0 +1,5 @@
+P6
+# Geomview Snapshot of Camera
+450 450
+255
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index 00000000..313aa1b5
--- /dev/null
+++ b/src/Nerve_GIC/doc/mapperdeltacoordvisu.pdf
diff --git a/src/Nerve_GIC/doc/mapperdeltacoordvisu2.pdf b/src/Nerve_GIC/doc/mapperdeltacoordvisu2.pdf
new file mode 100644
index 00000000..886c7cfb
--- /dev/null
+++ b/src/Nerve_GIC/doc/mapperdeltacoordvisu2.pdf
diff --git a/src/Nerve_GIC/doc/mapperdeltafuncvisu.pdf b/src/Nerve_GIC/doc/mapperdeltafuncvisu.pdf
new file mode 100644
index 00000000..d640ff44
--- /dev/null
+++ b/src/Nerve_GIC/doc/mapperdeltafuncvisu.pdf
diff --git a/src/Nerve_GIC/doc/nervevisu.png b/src/Nerve_GIC/doc/nervevisu.png
new file mode 100644
index 00000000..62bbf3ce
--- /dev/null
+++ b/src/Nerve_GIC/doc/nervevisu.png
diff --git a/src/Nerve_GIC/example/GIC.cpp b/src/Nerve_GIC/example/GIC.cpp
index 0f50f712..aba0927d 100644
--- a/src/Nerve_GIC/example/GIC.cpp
+++ b/src/Nerve_GIC/example/GIC.cpp
@@ -32,6 +32,8 @@ void usage(int nbArgs, char * const progName) {
 int main(int argc, char **argv) {
   if ((argc != 6) && (argc != 7)) usage(argc, (argv[0] - 1));
 
+  using Point = std::vector<float>;
+
   std::string off_file_name(argv[1]);
   double threshold = atof(argv[2]);
   int coord = atoi(argv[3]);
@@ -43,8 +45,8 @@ int main(int argc, char **argv) {
   // Init of a graph induced complex from an OFF file
   // ----------------------------------------------------------------------------
 
-  Gudhi::graph_induced_complex::Graph_induced_complex GIC;
-  GIC.set_verbose(verb);
+  Gudhi::graph_induced_complex::Graph_induced_complex<Point> GIC;
+  GIC.set_verbose(verb); GIC.set_mask();
 
   bool check = GIC.read_point_cloud(off_file_name);
 
@@ -54,7 +56,7 @@ int main(int argc, char **argv) {
     GIC.set_color_from_coordinate(coord);
     GIC.set_function_from_coordinate(coord);
 
-    GIC.set_graph_from_rips(threshold);
+    GIC.set_graph_from_rips(threshold, Gudhi::Euclidean_distance());
 
     GIC.set_resolution_double(resolution); GIC.set_gain(gain);
     GIC.set_cover_from_function(1);
@@ -63,7 +65,7 @@ int main(int argc, char **argv) {
 
     GIC.plot_txt();
 
-    Simplex_tree stree; GIC.create_complex(stree);
+    Gudhi::graph_induced_complex::Simplex_tree stree; GIC.create_complex(stree);
 
     std::streambuf* streambufffer = std::cout.rdbuf();
     std::ostream output_stream(streambufffer);
diff --git a/src/Nerve_GIC/example/GIC.txt b/src/Nerve_GIC/example/GIC.txt
deleted file mode 100644
index 79f61e92..00000000
--- a/src/Nerve_GIC/example/GIC.txt
+++ /dev/null
@@ -1,89 +0,0 @@
-Graph induced complex is of dimension 1 - 87 simplices - 44 vertices.
-Iterator on graph induced complex simplices
-0 
-1 
-2 
-2 1 
-3 
-3 0 
-4 
-4 2 
-5 
-5 3 
-6 
-6 5 
-7 
-7 4 
-8 
-8 7 
-9 
-9 6 
-10 
-10 8 
-11 
-11 9 
-12 
-12 11 
-13 
-13 10 
-14 
-14 12 
-15 
-15 13 
-16 
-16 14 
-17 
-17 15 
-18 
-18 16 
-18 17 
-19 
-19 18 
-20 
-21 
-22 
-22 20 
-23 
-23 19 
-24 
-24 21 
-25 
-25 23 
-26 
-26 24 
-27 
-27 22 
-28 
-28 25 
-29 
-29 26 
-30 
-30 27 
-31 
-31 28 
-32 
-32 30 
-33 
-33 29 
-34 
-34 32 
-35 
-35 31 
-36 
-36 33 
-37 
-37 34 
-37 35 
-37 36 
-38 
-38 37 
-39 
-39 38 
-40 
-40 39 
-41 
-41 40 
-42 
-42 41 
-43 
-43 42 
diff --git a/src/Nerve_GIC/example/GICvoronoi.cpp b/src/Nerve_GIC/example/GICvoronoi.cpp
index 8061c42d..013d6290 100644
--- a/src/Nerve_GIC/example/GICvoronoi.cpp
+++ b/src/Nerve_GIC/example/GICvoronoi.cpp
@@ -32,6 +32,8 @@ void usage(int nbArgs, char * const progName) {
 int main(int argc, char **argv) {
   if ((argc != 3) && (argc != 4)) usage(argc, (argv[0] - 1));
 
+  using Point = std::vector<float>;
+
   std::string off_file_name(argv[1]);
   int m = atoi(argv[2]);
   bool verb = 0; if(argc == 4)  verb = 1;
@@ -40,8 +42,8 @@ int main(int argc, char **argv) {
   // Init of a graph induced complex from an OFF file
   // ----------------------------------------------------------------------------
 
-  Gudhi::graph_induced_complex::Graph_induced_complex GIC;
-  GIC.set_verbose(verb);
+  Gudhi::graph_induced_complex::Graph_induced_complex<Point> GIC;
+  GIC.set_verbose(verb); GIC.set_mask();
 
   bool check = GIC.read_point_cloud(off_file_name);
 
@@ -52,13 +54,13 @@ int main(int argc, char **argv) {
 
     GIC.set_graph_from_OFF(off_file_name);
 
-    GIC.set_cover_from_Voronoi(m);
+    GIC.set_cover_from_Voronoi(Gudhi::Euclidean_distance(),m);
 
     GIC.find_GIC_simplices();
 
     GIC.plot_OFF();
 
-    Simplex_tree stree; GIC.create_complex(stree);
+    Gudhi::graph_induced_complex::Simplex_tree stree; GIC.create_complex(stree);
 
     std::streambuf* streambufffer = std::cout.rdbuf();
     std::ostream output_stream(streambufffer);
diff --git a/src/Nerve_GIC/example/GICvoronoi.txt b/src/Nerve_GIC/example/GICvoronoi.txt
deleted file mode 100644
index 34517933..00000000
--- a/src/Nerve_GIC/example/GICvoronoi.txt
+++ /dev/null
@@ -1,563 +0,0 @@
-Graph induced complex is of dimension 2 - 561 simplices - 100 vertices.
-Iterator on graph induced complex simplices
-0 
-1 
-2 
-3 
-3 0 
-4 
-4 1 
-5 
-6 
-7 
-8 
-9 
-9 1 
-10 
-11 
-11 1 
-11 9 
-11 9 1 
-12 
-12 1 
-12 11 
-12 11 1 
-13 
-13 2 
-14 
-14 11 
-15 
-15 4 
-16 
-16 2 
-16 15 
-17 
-17 3 
-18 
-19 
-19 8 
-20 
-20 11 
-20 12 
-20 12 11 
-21 
-22 
-22 12 
-23 
-23 22 
-24 
-24 19 
-25 
-25 0 
-25 3 
-25 18 
-26 
-26 1 
-26 4 
-26 4 1 
-27 
-27 26 
-28 
-28 27 
-29 
-30 
-31 
-31 30 
-32 
-32 30 
-32 31 
-32 31 30 
-33 
-33 1 
-33 4 
-33 4 1 
-33 24 
-33 29 
-34 
-34 5 
-34 21 
-35 
-35 2 
-35 16 
-35 16 2 
-36 
-36 17 
-37 
-37 24 
-37 29 
-38 
-38 3 
-38 25 
-38 25 3 
-39 
-39 8 
-39 25 
-39 38 
-39 38 25 
-40 
-40 7 
-40 19 
-40 24 
-40 24 19 
-40 37 
-40 37 24 
-40 39 
-41 
-41 5 
-41 34 
-41 34 5 
-42 
-42 21 
-42 41 
-43 
-43 5 
-43 41 
-43 41 5 
-43 42 
-43 42 41 
-44 
-44 14 
-44 27 
-45 
-45 21 
-46 
-46 8 
-46 19 
-46 19 8 
-46 39 
-46 39 8 
-47 
-47 0 
-47 3 
-47 3 0 
-47 19 
-47 38 
-47 38 3 
-47 39 
-47 39 38 
-47 40 
-47 40 19 
-47 40 39 
-47 46 
-47 46 19 
-47 46 39 
-48 
-48 37 
-48 45 
-49 
-49 10 
-49 37 
-49 48 
-49 48 37 
-50 
-50 10 
-50 37 
-50 45 
-50 49 
-50 49 10 
-50 49 37 
-51 
-51 45 
-51 48 
-51 48 45 
-51 50 
-51 50 45 
-52 
-52 27 
-52 30 
-52 31 
-52 31 30 
-53 
-53 10 
-53 45 
-53 48 
-53 48 45 
-53 50 
-53 50 10 
-54 
-54 6 
-55 
-55 54 
-56 
-56 44 
-57 
-57 13 
-58 
-58 24 
-58 29 
-58 33 
-58 33 24 
-58 33 29 
-58 37 
-58 37 24 
-58 37 29 
-59 
-59 7 
-59 29 
-60 
-60 1 
-60 12 
-60 12 1 
-60 22 
-60 22 12 
-60 26 
-60 26 1 
-60 27 
-60 27 26 
-60 44 
-60 44 27 
-60 56 
-60 56 44 
-61 
-61 5 
-61 21 
-61 34 
-61 34 5 
-61 34 21 
-61 42 
-61 42 21 
-61 43 
-61 43 5 
-61 43 42 
-62 
-62 6 
-62 54 
-62 54 6 
-62 55 
-62 55 54 
-63 
-63 6 
-63 62 
-63 62 6 
-64 
-64 10 
-64 48 
-64 49 
-64 49 10 
-64 49 48 
-64 53 
-64 53 10 
-64 53 48 
-65 
-65 21 
-65 45 
-65 45 21 
-65 50 
-65 50 45 
-65 53 
-65 53 50 
-66 
-66 14 
-66 44 
-66 44 14 
-66 56 
-66 56 44 
-67 
-67 13 
-67 57 
-67 57 13 
-68 
-68 2 
-68 13 
-68 13 2 
-68 35 
-68 35 2 
-69 
-69 21 
-69 34 
-69 34 21 
-69 41 
-69 41 34 
-69 42 
-69 42 21 
-69 42 41 
-69 65 
-69 65 21 
-70 
-70 11 
-70 14 
-70 14 11 
-70 20 
-70 20 11 
-70 56 
-70 66 
-70 66 14 
-70 66 56 
-71 
-71 6 
-71 54 
-71 54 6 
-71 55 
-71 55 54 
-71 62 
-71 62 55 
-71 63 
-71 63 6 
-71 63 62 
-72 
-72 37 
-72 48 
-72 48 37 
-72 51 
-72 51 48 
-73 
-73 3 
-73 17 
-73 17 3 
-73 36 
-73 36 17 
-74 
-74 7 
-74 8 
-74 39 
-74 39 8 
-74 40 
-74 40 7 
-74 40 39 
-74 52 
-74 59 
-74 59 7 
-75 
-75 4 
-75 15 
-75 15 4 
-76 
-76 15 
-76 75 
-76 75 15 
-77 
-77 4 
-77 75 
-77 75 4 
-78 
-78 4 
-78 26 
-78 26 4 
-78 27 
-78 27 26 
-78 28 
-78 28 27 
-78 75 
-78 77 
-78 77 4 
-78 77 75 
-79 
-79 9 
-79 11 
-79 11 9 
-79 14 
-79 14 11 
-79 27 
-79 30 
-79 32 
-79 32 30 
-79 44 
-79 44 14 
-79 44 27 
-79 52 
-79 52 27 
-79 52 30 
-80 
-80 0 
-80 25 
-80 25 0 
-80 39 
-80 39 25 
-80 47 
-80 47 0 
-80 47 39 
-81 
-81 2 
-81 4 
-81 15 
-81 15 4 
-81 16 
-81 16 2 
-81 16 15 
-81 27 
-81 29 
-81 33 
-81 33 4 
-81 33 29 
-81 52 
-81 52 27 
-81 59 
-81 59 29 
-81 74 
-81 74 52 
-81 74 59 
-81 75 
-81 78 
-81 78 27 
-81 78 75 
-82 
-82 2 
-82 75 
-82 81 
-82 81 2 
-82 81 75 
-83 
-83 0 
-83 3 
-83 3 0 
-83 25 
-83 25 0 
-83 73 
-83 73 3 
-84 
-84 1 
-84 8 
-84 19 
-84 19 8 
-84 24 
-84 24 19 
-84 33 
-84 33 1 
-84 33 24 
-84 74 
-84 74 8 
-85 
-85 17 
-85 36 
-85 36 17 
-85 73 
-85 73 36 
-86 
-86 6 
-86 63 
-86 63 6 
-87 
-87 3 
-87 17 
-87 17 3 
-87 18 
-87 25 
-87 25 3 
-87 25 18 
-88 
-88 17 
-88 18 
-88 85 
-88 85 17 
-88 87 
-88 87 17 
-88 87 18 
-89 
-89 63 
-89 86 
-89 86 63 
-90 
-90 7 
-90 37 
-90 40 
-90 40 7 
-90 40 37 
-90 59 
-90 59 7 
-91 
-91 21 
-91 45 
-91 45 21 
-91 53 
-91 53 45 
-91 65 
-91 65 21 
-91 65 53 
-92 
-92 9 
-92 55 
-92 71 
-92 71 55 
-93 
-93 2 
-93 15 
-93 16 
-93 16 15 
-93 35 
-93 35 2 
-93 35 16 
-93 75 
-93 76 
-93 76 15 
-93 76 75 
-93 82 
-93 82 2 
-93 82 75 
-94 
-94 1 
-94 9 
-94 9 1 
-94 31 
-94 32 
-94 32 31 
-94 52 
-94 52 31 
-94 55 
-94 74 
-94 74 52 
-94 79 
-94 79 9 
-94 79 32 
-94 84 
-94 84 1 
-94 84 74 
-94 92 
-94 92 9 
-94 92 55 
-95 
-95 18 
-95 25 
-95 25 18 
-95 83 
-95 83 25 
-95 85 
-95 88 
-95 88 18 
-95 88 85 
-96 
-96 63 
-96 86 
-96 86 63 
-96 89 
-96 89 63 
-96 89 86 
-97 
-97 73 
-97 83 
-97 83 73 
-97 85 
-97 85 73 
-97 95 
-97 95 83 
-97 95 85 
-98 
-98 12 
-98 20 
-98 20 12 
-98 22 
-98 22 12 
-98 23 
-98 23 22 
-98 56 
-98 60 
-98 60 22 
-98 60 56 
-98 70 
-98 70 20 
-98 70 56 
-99 
-99 29 
-99 37 
-99 37 29 
-99 50 
-99 50 37 
-99 51 
-99 51 50 
-99 59 
-99 59 29 
-99 72 
-99 72 37 
-99 72 51 
-99 90 
-99 90 37 
-99 90 59 
diff --git a/src/Nerve_GIC/example/MapperDeltaCoord.cpp b/src/Nerve_GIC/example/MapperDeltaCoord.cpp
index 84a25bad..9927f762 100644
--- a/src/Nerve_GIC/example/MapperDeltaCoord.cpp
+++ b/src/Nerve_GIC/example/MapperDeltaCoord.cpp
@@ -32,6 +32,8 @@ void usage(int nbArgs, char * const progName) {
 int main(int argc, char **argv) {
   if ((argc != 3) && (argc != 4)) usage(argc, (argv[0] - 1));
 
+  using Point = std::vector<float>;
+
   std::string off_file_name(argv[1]);
   int coord = atoi(argv[2]);
   bool verb = 0; if(argc == 4)  verb = 1;
@@ -40,8 +42,8 @@ int main(int argc, char **argv) {
   // Init of a Mapper Delta from an OFF file
   // ---------------------------------------
 
-  Gudhi::graph_induced_complex::Graph_induced_complex GIC;
-  GIC.set_verbose(verb);
+  Gudhi::graph_induced_complex::Graph_induced_complex<Point> GIC;
+  GIC.set_verbose(verb); GIC.set_mask(); GIC.set_subsampling();
 
   bool check = GIC.read_point_cloud(off_file_name);
 
@@ -51,16 +53,16 @@ int main(int argc, char **argv) {
     GIC.set_color_from_coordinate(coord);
     GIC.set_function_from_coordinate(coord);
 
-    GIC.set_graph_from_automatic_rips();
+    GIC.set_graph_from_automatic_rips(Gudhi::Euclidean_distance());
 
     GIC.set_automatic_resolution_for_GICMAP(); GIC.set_gain();
     GIC.set_cover_from_function(1);
 
     GIC.find_GICMAP_simplices_with_functional_minimal_cover();
 
-    GIC.plot_txt();
+    GIC.plot_pdf();
 
-    Simplex_tree stree; GIC.create_complex(stree);
+    Gudhi::graph_induced_complex::Simplex_tree stree; GIC.create_complex(stree);
 
     std::streambuf* streambufffer = std::cout.rdbuf();
     std::ostream output_stream(streambufffer);
diff --git a/src/Nerve_GIC/example/MapperDeltaCoord.txt b/src/Nerve_GIC/example/MapperDeltaCoord.txt
deleted file mode 100644
index faf832c7..00000000
--- a/src/Nerve_GIC/example/MapperDeltaCoord.txt
+++ /dev/null
@@ -1,143 +0,0 @@
-Mapper Delta is of dimension 1 - 141 simplices - 71 vertices.
-Iterator on Mapper Delta simplices
-0 
-1 
-2 
-2 1 
-3 
-3 0 
-4 
-4 2 
-5 
-5 3 
-6 
-6 4 
-7 
-7 5 
-8 
-8 6 
-9 
-9 7 
-10 
-10 9 
-11 
-11 8 
-12 
-12 11 
-13 
-13 10 
-14 
-14 12 
-15 
-15 13 
-16 
-16 14 
-17 
-17 15 
-18 
-18 17 
-19 
-19 16 
-20 
-20 18 
-21 
-21 19 
-22 
-22 20 
-23 
-23 21 
-24 
-24 22 
-25 
-25 23 
-26 
-26 24 
-27 
-27 25 
-28 
-28 26 
-28 27 
-29 
-29 28 
-30 
-30 29 
-31 
-32 
-33 
-33 30 
-34 
-34 31 
-35 
-35 32 
-36 
-36 34 
-37 
-37 33 
-38 
-38 35 
-39 
-39 37 
-40 
-40 38 
-41 
-41 36 
-42 
-42 39 
-43 
-43 40 
-44 
-44 41 
-45 
-45 42 
-46 
-46 44 
-47 
-47 43 
-48 
-48 45 
-49 
-49 46 
-50 
-50 47 
-51 
-51 48 
-52 
-52 49 
-53 
-53 50 
-54 
-54 51 
-55 
-55 52 
-56 
-56 53 
-57 
-57 54 
-58 
-58 55 
-59 
-59 56 
-60 
-60 57 
-60 58 
-60 59 
-61 
-61 60 
-62 
-62 61 
-63 
-63 62 
-64 
-64 63 
-65 
-65 64 
-66 
-66 65 
-67 
-67 66 
-68 
-68 67 
-69 
-69 68 
-70 
-70 69 
diff --git a/src/Nerve_GIC/example/MapperDeltaFunc.cpp b/src/Nerve_GIC/example/MapperDeltaFunc.cpp
index fa95ca58..f3d57d2f 100644
--- a/src/Nerve_GIC/example/MapperDeltaFunc.cpp
+++ b/src/Nerve_GIC/example/MapperDeltaFunc.cpp
@@ -32,6 +32,8 @@ void usage(int nbArgs, char * const progName) {
 int main(int argc, char **argv) {
   if ((argc != 3) && (argc != 4)) usage(argc, (argv[0] - 1));
 
+  using Point = std::vector<float>;
+
   std::string off_file_name(argv[1]);
   std::string func_file_name = argv[2];
   bool verb = 0; if(argc == 4)  verb = 1;
@@ -40,8 +42,8 @@ int main(int argc, char **argv) {
   // Init of a Mapper Delta from an OFF file
   // ---------------------------------------
 
-  Gudhi::graph_induced_complex::Graph_induced_complex GIC;
-  GIC.set_verbose(verb);
+  Gudhi::graph_induced_complex::Graph_induced_complex<Point> GIC;
+  GIC.set_verbose(verb); GIC.set_mask(); GIC.set_subsampling();
 
   bool check = GIC.read_point_cloud(off_file_name);
 
@@ -51,7 +53,7 @@ int main(int argc, char **argv) {
     GIC.set_color_from_file(func_file_name);
     GIC.set_function_from_file(func_file_name);
 
-    GIC.set_graph_from_automatic_rips();
+    GIC.set_graph_from_automatic_rips(Gudhi::Euclidean_distance());
 
     GIC.set_automatic_resolution_for_GICMAP(); GIC.set_gain();
     GIC.set_cover_from_function(1);
@@ -60,7 +62,7 @@ int main(int argc, char **argv) {
 
     GIC.plot_pdf();
 
-    Simplex_tree stree; GIC.create_complex(stree);
+    Gudhi::graph_induced_complex::Simplex_tree stree; GIC.create_complex(stree);
 
     std::streambuf* streambufffer = std::cout.rdbuf();
     std::ostream output_stream(streambufffer);
diff --git a/src/Nerve_GIC/example/MapperDeltaFunc.dot b/src/Nerve_GIC/example/MapperDeltaFunc.dot
deleted file mode 100644
index beafa7f1..00000000
--- a/src/Nerve_GIC/example/MapperDeltaFunc.dot
+++ /dev/null
@@ -1,10 +0,0 @@
-graph Mapper {
-0[shape=circle fontcolor=black color=black label="0:26" style=filled fillcolor="0, 1, 1"]
-1[shape=circle fontcolor=black color=black label="1:4" style=filled fillcolor="0.240095, 1, 1"]
-2[shape=circle fontcolor=black color=black label="2:11" style=filled fillcolor="0.209621, 1, 1"]
-3[shape=circle fontcolor=black color=black label="3:42" style=filled fillcolor="0.6, 1, 1"]
-  0 -- 1 [weight=15];
-  0 -- 2 [weight=15];
-  1 -- 3 [weight=15];
-  2 -- 3 [weight=15];
-}
\ No newline at end of file
diff --git a/src/Nerve_GIC/example/Nerve.cpp b/src/Nerve_GIC/example/Nerve.cpp
index 8f8037d4..10c5ba3b 100644
--- a/src/Nerve_GIC/example/Nerve.cpp
+++ b/src/Nerve_GIC/example/Nerve.cpp
@@ -32,6 +32,8 @@ void usage(int nbArgs, char * const progName) {
 int main(int argc, char **argv) {
   if ((argc != 5) && (argc != 6)) usage(argc, (argv[0] - 1));
 
+  using Point = std::vector<float>;
+
   std::string off_file_name(argv[1]);
   int coord = atoi(argv[2]);
   int resolution = atoi(argv[3]);
@@ -42,8 +44,8 @@ int main(int argc, char **argv) {
   // Init of a Nerve from an OFF file
   // --------------------------------
 
-  Gudhi::graph_induced_complex::Graph_induced_complex GIC;
-  GIC.set_verbose(verb);
+  Gudhi::graph_induced_complex::Graph_induced_complex<Point> GIC;
+  GIC.set_verbose(verb); GIC.set_mask();
 
   bool check = GIC.read_point_cloud(off_file_name);
 
@@ -62,7 +64,7 @@ int main(int argc, char **argv) {
 
     GIC.plot_txt();
 
-    Simplex_tree stree; GIC.create_complex(stree);
+    Gudhi::graph_induced_complex::Simplex_tree stree; GIC.create_complex(stree);
 
     std::streambuf* streambufffer = std::cout.rdbuf();
     std::ostream output_stream(streambufffer);
diff --git a/src/Nerve_GIC/include/gudhi/GIC.h b/src/Nerve_GIC/include/gudhi/GIC.h
index d670cef6..42225c47 100644
--- a/src/Nerve_GIC/include/gudhi/GIC.h
+++ b/src/Nerve_GIC/include/gudhi/GIC.h
@@ -41,21 +41,13 @@
 #include <random>
 #include <cassert>
 
-#define CONSTANT 10
-#define ETA 0.001
-#define MASK 0
+namespace Gudhi {
+
+namespace graph_induced_complex {
 
 using Simplex_tree = Gudhi::Simplex_tree<>;
 using Filtration_value = Simplex_tree::Filtration_value;
 using Rips_complex = Gudhi::rips_complex::Rips_complex<Filtration_value>;
-using Point = std::vector<float>;
-
-std::map<int, double> func;
-std::map<int, double> func_color;
-
-namespace Gudhi {
-
-namespace graph_induced_complex {
 
 
 /**
@@ -78,10 +70,11 @@ namespace graph_induced_complex {
  * correspond to the simplices of the GIC.
  *
  */
-
+template<typename Point>
 class Graph_induced_complex {
 
  private:
+   //Graph_induced_complex(std::map<int, double> fun){func = fun;}
    bool verbose; // whether to display information.
    std::vector<Point> point_cloud;
    typedef int Cover_t; // elements of cover C are indexed by integers.
@@ -92,23 +85,28 @@ class Graph_induced_complex {
    int n; // number of points.
    std::map<Cover_t,int> cover_fct; // integer-valued function that allows to state if two elements of the cover are consecutive or not.
    std::map<Cover_t,std::pair<int,double> > cover_color; // size and coloring of the vertices of the output simplicial complex.
-   Simplex_tree<> st;
+   Simplex_tree st;
    std::map<int,std::vector<int> > adjacency_matrix;
    std::vector<std::vector<double> > distances;
    int resolution_int;
    double resolution_double;
    double gain;
+   double rate_constant; // Constant in the subsampling.
+   double rate_power; // Power in the subsampling.
+   int mask; // Ignore nodes containing less than mask points.
+   std::map<int, double> func;
+   std::map<int, double> func_color;
    std::vector<int> voronoi_subsamples;
    std::string cover_name;
    std::string point_cloud_name;
    std::string color_name;
 
- // Point comparator
- private:
-   static bool functional_comp(int a, int b){
-     if(func[a] == func[b])  return a < b;
-     else  return func[a] < func[b];
-   }
+   // Point comparator
+   struct Less{
+     Less(std::map<int, double> func){Fct = func;}
+     std::map<int, double> Fct;
+     bool operator()(int a, int b){if(Fct[a] == Fct[b])  return a < b;  else  return Fct[a] < Fct[b];}
+   };
 
  // DFS
  private:
@@ -140,8 +138,25 @@ class Graph_induced_complex {
    }
  }
 
+ private:
+   void fill_adjacency_matrix_from_st(){
+     std::vector<int> empty;
+     for(int i = 0; i < n; i++)  adjacency_matrix.insert(std::pair<int,std::vector<int> >(i,empty));
+     for (auto simplex : st.complex_simplex_range()) {
+       if(st.dimension(simplex) == 1){
+         std::vector<int> vertices;
+         for(auto vertex : st.simplex_vertex_range(simplex))  vertices.push_back(vertex);
+         adjacency_matrix[vertices[0]].push_back(vertices[1]); adjacency_matrix[vertices[1]].push_back(vertices[0]);
+       }
+     }
+   }
+
  public:
    void set_verbose(bool verb = 0){verbose = verb;}
+ public:
+   void set_subsampling(double constant = 10, double power = 0.001){rate_constant = constant; rate_power = power;}
+ public:
+   void set_mask(int nodemask = 0){mask = nodemask;}
 
  public:
    bool read_point_cloud(std::string off_file_name){
@@ -164,25 +179,21 @@ class Graph_induced_complex {
    /** \brief Creates the graph G from a file containing the edges.
     *
     * @param[in] graph_file_name name of the input graph file.
+    * The graph file contains one edge per line,
+    * each edge being represented by the IDs of its two nodes.
     *
     */
    void set_graph_from_file(std::string graph_file_name){
-     int neighb; int vid; std::ifstream input(graph_file_name); std::string line; std::vector<int> edge(2); int n = 0;
+     int neighb; std::ifstream input(graph_file_name);
+     std::string line; int edge[2]; int n = 0;
      while(std::getline(input,line)){
-       std::stringstream stream(line); stream >> vid; edge[0] = vid;
+       std::stringstream stream(line); stream >> edge[0];
        while(stream >> neighb){edge[1] = neighb; st.insert_simplex_and_subfaces(edge);}
        n++;
      }
 
-     std::vector<int> empty;
-     for(int i = 0; i < n; i++)  adjacency_matrix.insert(std::pair<int,std::vector<int> >(i,empty));
-     for (auto simplex : st.complex_simplex_range()) {
-       if(st.dimension(simplex) == 1){
-         std::vector<int> vertices;
-         for(auto vertex : st.simplex_vertex_range(simplex))  vertices.push_back(vertex);
-         adjacency_matrix[vertices[0]].push_back(vertices[1]); adjacency_matrix[vertices[1]].push_back(vertices[0]);
-       }
-     }
+     fill_adjacency_matrix_from_st();
+
    }
 
  public: // Set graph from OFF file.
@@ -208,15 +219,8 @@ class Graph_induced_complex {
        i++;
      }
 
-     std::vector<int> empty;
-     for(int i = 0; i < n; i++)  adjacency_matrix.insert(std::pair<int,std::vector<int> >(i,empty));
-     for (auto simplex : st.complex_simplex_range()) {
-       if(st.dimension(simplex) == 1){
-         std::vector<int> vertices;
-         for(auto vertex : st.simplex_vertex_range(simplex))  vertices.push_back(vertex);
-         adjacency_matrix[vertices[0]].push_back(vertices[1]); adjacency_matrix[vertices[1]].push_back(vertices[0]);
-       }
-     }
+     fill_adjacency_matrix_from_st();
+
    }
 
  public: // Set graph from Rips complex.
@@ -225,26 +229,18 @@ class Graph_induced_complex {
     * @param[in] threshold threshold value for the Rips complex.
     *
     */
-   void set_graph_from_rips(double threshold){
-     Rips_complex rips_complex_from_points(point_cloud, threshold, Euclidean_distance());
-     rips_complex_from_points.create_complex(st, 1);
+   template<typename Distance> void set_graph_from_rips(double threshold, Distance distance){
 
-     std::vector<int> empty;
-     for(int i = 0; i < n; i++)  adjacency_matrix.insert(std::pair<int,std::vector<int> >(i,empty));
-     for (auto simplex : st.complex_simplex_range()) {
-       if(st.dimension(simplex) == 1){
-         std::vector<int> vertices;
-         for(auto vertex : st.simplex_vertex_range(simplex))  vertices.push_back(vertex);
-         adjacency_matrix[vertices[0]].push_back(vertices[1]); adjacency_matrix[vertices[1]].push_back(vertices[0]);
-       }
-     }
+     Rips_complex rips_complex_from_points(point_cloud, threshold, distance);
+     rips_complex_from_points.create_complex(st, 1);
+     fill_adjacency_matrix_from_st();
 
    }
 
  public: // Pairwise distances.
-   /** \brief Computes all pairwise distances (Euclidean norm).
+   /** \private \brief Computes all pairwise distances.
     */
-   void compute_pairwise_distances(){
+   template<typename Distance> void compute_pairwise_distances(Distance ref_distance){
 
      double d; std::vector<double> zeros(n); for(int i = 0; i < n; i++)  distances.push_back(zeros);
      std::string distance = point_cloud_name; distance.append("_dist");
@@ -267,9 +263,8 @@ class Graph_induced_complex {
          int state = (int) floor( 100*(i*1.0+1)/n ) %10;
          if( state == 0  && verbose)  std::cout << "\r" << state << "%" << std::flush;
          for (int j = i; j < n; j++){
-           double dis = 0; for(int k = 0; k < data_dimension; k++)
-               dis += pow(point_cloud[i][k]-point_cloud[j][k],2);
-           dis = std::sqrt(dis); distances[i][j] = dis; distances[j][i] = dis;
+           double dis = ref_distance(point_cloud[i],point_cloud[j]);
+           distances[i][j] = dis; distances[j][i] = dis;
            output.write((char*) &dis,8);
          }
        }
@@ -284,15 +279,16 @@ class Graph_induced_complex {
     * @param[in] N number of subsampling iteration (default value 100).
     *
     */
-   void set_graph_from_automatic_rips(int N = 100){
+   template<typename Distance> void set_graph_from_automatic_rips(Distance distance, int N = 100){
 
-     int m = floor(n/pow(log(n)/log(CONSTANT),1+ETA)); m = std::min(m,n-1);
+     int m = floor(n/   std::exp((1+rate_power)*std::log(std::log(n)/std::log(rate_constant)))   );
+     m = std::min(m,n-1);
      std::vector<int> samples(m); double delta = 0;
 
      if(verbose)  std::cout << n << " points in R^" << data_dimension << std::endl;
      if(verbose)  std::cout << "Subsampling " << m << " points" << std::endl;
 
-     if(distances.size() == 0)  compute_pairwise_distances();
+     if(distances.size() == 0)  compute_pairwise_distances(distance);
 
      //#pragma omp parallel for
      for (int i = 0; i < N; i++){
@@ -308,18 +304,9 @@ class Graph_induced_complex {
      }
 
      if(verbose)  std::cout << "delta = " << delta << std::endl;
-     Rips_complex rips_complex_from_points(point_cloud, delta, Euclidean_distance());
+     Rips_complex rips_complex_from_points(point_cloud, delta, distance);
      rips_complex_from_points.create_complex(st, 1);
-
-     std::vector<int> empty;
-     for(int i = 0; i < n; i++)  adjacency_matrix.insert(std::pair<int,std::vector<int> >(i,empty));
-     for (auto simplex : st.complex_simplex_range()) {
-       if(st.dimension(simplex) == 1){
-         std::vector<int> vertices;
-         for(auto vertex : st.simplex_vertex_range(simplex))  vertices.push_back(vertex);
-         adjacency_matrix[vertices[0]].push_back(vertices[1]); adjacency_matrix[vertices[1]].push_back(vertices[0]);
-       }
-     }
+     fill_adjacency_matrix_from_st();
 
    }
 
@@ -338,7 +325,7 @@ class Graph_induced_complex {
      int vertex_id = 0; std::ifstream input(func_file_name); std::string line; double f;
      while(std::getline(input,line)){
        std::stringstream stream(line); stream >> f;
-       func.insert(std::pair<int,double>(vertex_id, f)); vertex_id++;
+       func.emplace(vertex_id, f); vertex_id++;
      }
      cover_name = func_file_name;
    }
@@ -350,7 +337,7 @@ class Graph_induced_complex {
     *
     */
    void set_function_from_coordinate(int k){
-     for(int i = 0; i < n; i++)  func.insert(std::pair<int,double>(i,point_cloud[i][k]));
+     for(int i = 0; i < n; i++)  func.emplace(i,point_cloud[i][k]);
      char coordinate[100]; sprintf(coordinate, "coordinate %d", k);
      cover_name = coordinate;
    }
@@ -362,89 +349,13 @@ class Graph_induced_complex {
     *
     */
    void set_function_from_vector(std::vector<double> function){
-     for(int i = 0; i < n; i++)  func.insert(std::pair<int,double>(i, function[i]));
+     for(int i = 0; i < n; i++)  func.emplace(i, function[i]);
    }
 
  // *******************************************************************************************************************
  // Covers.
  // *******************************************************************************************************************
 
- public: // Set cover from file.
-   /** \brief Creates the cover C from a file containing the cover elements of each point (the order has to be the same
-    * as in the input file!).
-    *
-    * @param[in] cover_file_name name of the input cover file.
-    *
-    */
-   void set_cover_from_file(std::string cover_file_name){
-     int vertex_id = 0; Cover_t cov; std::vector<Cover_t> cov_elts, cov_number;
-     std::ifstream input(cover_file_name); std::string line;
-     while(std::getline(input,line)){
-       cov_elts.clear(); std::stringstream stream(line);
-       while(stream >> cov){
-         cov_elts.push_back(cov); cov_number.push_back(cov);
-         cover_fct[cov] = cov; cover_color[cov].second += func_color[vertex_id]; cover_color[cov].first++;
-       }
-       cover[vertex_id] = cov_elts; vertex_id++;
-     }
-     std::vector<Cover_t>::iterator it;
-     std::sort(cov_number.begin(),cov_number.end()); it = std::unique(cov_number.begin(),cov_number.end());
-     cov_number.resize(std::distance(cov_number.begin(),it)); maximal_dim = cov_number.size()-1;
-     for(int i = 0; i <= maximal_dim; i++)  cover_color[i].second /= cover_color[i].first;
-     cover_name = cover_file_name;
-   }
-
- public: // Set cover from Voronoi
-   /** \brief Creates the cover C from the Voronoï cells of a subsampling of the point cloud.
-    *
-    * @param[in] m number of points in the subsample.
-    *
-    */
-   void set_cover_from_Voronoi(int m = 100){
-
-     voronoi_subsamples.resize(m); SampleWithoutReplacement(n,m,voronoi_subsamples);
-     if(distances.size() == 0)  compute_pairwise_distances();
-     std::vector<double> mindist(n); for(int j = 0; j < n; j++)  mindist[j] = std::numeric_limits<double>::max();
-
-     // Compute the geodesic distances to subsamples with Dijkstra
-     for(int i = 0; i < m; i++){
-       if(verbose)  std::cout << "Computing geodesic distances to seed " << i << "..." << std::endl;
-       int seed = voronoi_subsamples[i];
-       std::vector<double> dist(n); std::vector<int> process(n);
-       for(int j = 0; j < n; j++){ dist[j] = std::numeric_limits<double>::max(); process[j] = j; }
-       dist[seed] = 0; int curr_size = process.size(); int min_point, min_index; double min_dist;
-       std::vector<int> neighbors; int num_neighbors;
-
-       while(curr_size > 0){
-         min_dist = std::numeric_limits<double>::max(); min_index = -1; min_point = -1;
-         for(int j = 0; j < curr_size; j++){
-           if(dist[process[j]] < min_dist){
-             min_point = process[j]; min_dist = dist[process[j]]; min_index = j;
-           }
-         }
-         assert(min_index != -1); process.erase(process.begin() + min_index);
-         assert(min_point != -1); neighbors = adjacency_matrix[min_point]; num_neighbors = neighbors.size();
-         for(int j = 0; j < num_neighbors; j++){
-           double d = dist[min_point] + distances[min_point][neighbors[j]];
-           dist[neighbors[j]] = std::min(dist[neighbors[j]], d);
-         }
-         curr_size = process.size();
-       }
-
-       for(int j = 0; j < n; j++)
-         if(mindist[j] > dist[j]){
-           mindist[j] = dist[j];
-           if(cover[j].size() == 0) cover[j].push_back(i);
-           else cover[j][0] = i;
-         }
-     }
-
-     for(int i = 0; i < n; i++){ cover_color[cover[i][0]].second += func_color[i]; cover_color[cover[i][0]].first++; }
-     for(int i = 0; i < m; i++)  cover_color[i].second /= cover_color[i].first;
-     maximal_dim = m-1; cover_name = "Voronoi";
-
-   }
-
  public: // Automatic tuning of resolution for Mapper Delta.
    /** \brief Computes the optimal length of intervals for a Mapper Delta.
     */
@@ -542,8 +453,7 @@ class Graph_induced_complex {
 
      // Sort points according to function values
      std::vector<int> points(n); for(int i = 0; i < n; i++)  points[i] = i;
-     std::sort(points.begin(),points.end(),functional_comp);
-
+     std::sort(points.begin(),points.end(),Less(this->func));
      int id = 0; int pos = 0;
 
      for(int i = 0; i < res; i++){       
@@ -615,6 +525,82 @@ class Graph_induced_complex {
 
    }
 
+ public: // Set cover from file.
+   /** \brief Creates the cover C from a file containing the cover elements of each point (the order has to be the same
+   * as in the input file!).
+   *
+   * @param[in] cover_file_name name of the input cover file.
+   *
+   */
+   void set_cover_from_file(std::string cover_file_name){
+     int vertex_id = 0; Cover_t cov; std::vector<Cover_t> cov_elts, cov_number;
+     std::ifstream input(cover_file_name); std::string line;
+     while(std::getline(input,line)){
+       cov_elts.clear(); std::stringstream stream(line);
+       while(stream >> cov){
+         cov_elts.push_back(cov); cov_number.push_back(cov);
+         cover_fct[cov] = cov; cover_color[cov].second += func_color[vertex_id]; cover_color[cov].first++;
+       }
+       cover[vertex_id] = cov_elts; vertex_id++;
+     }
+     std::vector<Cover_t>::iterator it;
+     std::sort(cov_number.begin(),cov_number.end()); it = std::unique(cov_number.begin(),cov_number.end());
+     cov_number.resize(std::distance(cov_number.begin(),it)); maximal_dim = cov_number.size()-1;
+     for(int i = 0; i <= maximal_dim; i++)  cover_color[i].second /= cover_color[i].first;
+     cover_name = cover_file_name;
+   }
+
+ public: // Set cover from Voronoi
+   /** \brief Creates the cover C from the Voronoï cells of a subsampling of the point cloud.
+   *
+   * @param[in] m number of points in the subsample.
+   *
+   */
+   template<typename Distance> void set_cover_from_Voronoi(Distance distance, int m = 100){
+
+     voronoi_subsamples.resize(m); SampleWithoutReplacement(n,m,voronoi_subsamples);
+     if(distances.size() == 0)  compute_pairwise_distances(distance);
+     std::vector<double> mindist(n); for(int j = 0; j < n; j++)  mindist[j] = std::numeric_limits<double>::max();
+
+     // Compute the geodesic distances to subsamples with Dijkstra
+     for(int i = 0; i < m; i++){
+       if(verbose)  std::cout << "Computing geodesic distances to seed " << i << "..." << std::endl;
+       int seed = voronoi_subsamples[i];
+       std::vector<double> dist(n); std::vector<int> process(n);
+       for(int j = 0; j < n; j++){ dist[j] = std::numeric_limits<double>::max(); process[j] = j; }
+       dist[seed] = 0; int curr_size = process.size(); int min_point, min_index; double min_dist;
+       std::vector<int> neighbors; int num_neighbors;
+
+       while(curr_size > 0){
+         min_dist = std::numeric_limits<double>::max(); min_index = -1; min_point = -1;
+         for(int j = 0; j < curr_size; j++){
+           if(dist[process[j]] < min_dist){
+             min_point = process[j]; min_dist = dist[process[j]]; min_index = j;
+           }
+         }
+         assert(min_index != -1); process.erase(process.begin() + min_index);
+         assert(min_point != -1); neighbors = adjacency_matrix[min_point]; num_neighbors = neighbors.size();
+         for(int j = 0; j < num_neighbors; j++){
+           double d = dist[min_point] + distances[min_point][neighbors[j]];
+           dist[neighbors[j]] = std::min(dist[neighbors[j]], d);
+         }
+         curr_size = process.size();
+       }
+
+       for(int j = 0; j < n; j++)
+         if(mindist[j] > dist[j]){
+           mindist[j] = dist[j];
+           if(cover[j].size() == 0) cover[j].push_back(i);
+           else cover[j][0] = i;
+         }
+     }
+
+     for(int i = 0; i < n; i++){ cover_color[cover[i][0]].second += func_color[i]; cover_color[cover[i][0]].first++; }
+     for(int i = 0; i < m; i++)  cover_color[i].second /= cover_color[i].first;
+     maximal_dim = m-1; cover_name = "Voronoi";
+
+   }
+
  // *******************************************************************************************************************
  // Visualization.
  // *******************************************************************************************************************
@@ -629,7 +615,7 @@ class Graph_induced_complex {
      int vertex_id = 0; std::ifstream input(color_file_name); std::string line; double f;
      while(std::getline(input,line)){
        std::stringstream stream(line); stream >> f;
-       func_color.insert(std::pair<int,double>(vertex_id, f)); vertex_id++;
+       func_color.emplace(vertex_id, f); vertex_id++;
      }
      color_name = color_file_name;
    }
@@ -642,7 +628,7 @@ class Graph_induced_complex {
     *
     */
    void set_color_from_coordinate(int k = 0){
-     for(int i = 0; i < n; i++)  func_color.insert(std::pair<int,double>(i, point_cloud[i][k]));
+     for(int i = 0; i < n; i++)  func_color.emplace(i, point_cloud[i][k]);
      color_name = "coordinate "; color_name.append(std::to_string(k));
    }
 
@@ -653,7 +639,7 @@ class Graph_induced_complex {
     *
     */
    void set_color_from_vector(std::vector<double> color){
-     for(unsigned int i = 0; i < color.size(); i++)  func_color.insert(std::pair<int,double>(i, color[i]));
+     for(unsigned int i = 0; i < color.size(); i++)  func_color.emplace(i, color[i]);
    }
 
  public: // Create a .dot file that can be compiled with neato to produce a .pdf file.
@@ -668,7 +654,7 @@ class Graph_induced_complex {
      }
      int k = 0; std::vector<int> nodes; nodes.clear();
      for (std::map<Cover_t,std::pair<int,double> >::iterator iit = cover_color.begin(); iit != cover_color.end(); iit++){
-       if(iit->second.first > MASK){
+       if(iit->second.first > mask){
          nodes.push_back(iit->first);
          graphic << iit->first << "[shape=circle fontcolor=black color=black label=\"" \
            << iit->first << ":" << iit->second.first << "\" style=filled fillcolor=\"" \
@@ -679,7 +665,7 @@ class Graph_induced_complex {
      int ke = 0; int num_simplices = simplices.size();
      for (int i = 0; i < num_simplices; i++)
        if (simplices[i].size() == 2)
-         if (cover_color[simplices[i][0]].first > MASK && cover_color[simplices[i][1]].first > MASK){
+         if (cover_color[simplices[i][0]].first > mask && cover_color[simplices[i][1]].first > mask){
            graphic << "  " << simplices[i][0] << " -- " << simplices[i][1] << " [weight=15];" << std::endl; ke++;}
      graphic << "}"; graphic.close();
      std::cout << "SC.dot generated. It can be visualized with e.g. neato." << std::endl;
@@ -695,7 +681,7 @@ class Graph_induced_complex {
      char mapp[11] = "SC.txt";  std::ofstream graphic(mapp);
      for (int i = 0; i < num_simplices; i++)
        if (simplices[i].size() == 2)
-         if (cover_color[simplices[i][0]].first > MASK && cover_color[simplices[i][1]].first > MASK)
+         if (cover_color[simplices[i][0]].first > mask && cover_color[simplices[i][1]].first > mask)
            num_edges++;
 
      graphic << point_cloud_name << std::endl;
@@ -709,7 +695,7 @@ class Graph_induced_complex {
 
      for (int i = 0; i < num_simplices; i++)
        if (simplices[i].size() == 2)
-         if (cover_color[simplices[i][0]].first > MASK && cover_color[simplices[i][1]].first > MASK)
+         if (cover_color[simplices[i][0]].first > mask && cover_color[simplices[i][1]].first > mask)
            graphic << simplices[i][0] << " " << simplices[i][1] << std::endl;
      graphic.close();
      std::cout << "SC.txt generated. It can be visualized with e.g. python visu.py and firefox." << std::endl;
@@ -771,7 +757,7 @@ class Graph_induced_complex {
     * @param[in] cover_elts vector of points represented by vectors of cover elements (the ones to which they belong).
     *
     */
-   void find_all_simplices(std::vector<std::vector<Cover_t> > cover_elts){
+   void find_maximal_clique(std::vector<std::vector<Cover_t> > cover_elts){
      int num_nodes = cover_elts.size();
      std::vector<Cover_t> simplex;
      for(int i = 0; i < num_nodes; i++)
@@ -829,7 +815,7 @@ class Graph_induced_complex {
        if(!st.has_children(simplex)){
          std::vector<std::vector<Cover_t> > cover_elts;
          for (auto vertex : st.simplex_vertex_range(simplex))  cover_elts.push_back(cover[vertex]);
-         find_all_simplices(cover_elts);
+         find_maximal_clique(cover_elts);
        }
      }
      std::vector<std::vector<Cover_t> >::iterator it;
diff --git a/src/Nerve_GIC/test/test_GIC.cpp b/src/Nerve_GIC/test/test_GIC.cpp
index 6b6621fd..cff49372 100644
--- a/src/Nerve_GIC/test/test_GIC.cpp
+++ b/src/Nerve_GIC/test/test_GIC.cpp
@@ -35,12 +35,13 @@
 
 BOOST_AUTO_TEST_CASE(check_nerve) {
 
-  Gudhi::graph_induced_complex::Graph_induced_complex GIC;
+  using Point = std::vector<float>;
+  Gudhi::graph_induced_complex::Graph_induced_complex<Point> GIC;
   std::string cloud_file_name("data/cloud"); GIC.read_point_cloud(cloud_file_name);
   std::string graph_file_name("data/graph"); GIC.set_graph_from_file(graph_file_name);
   std::string cover_file_name("data/cover"); GIC.set_cover_from_file(cover_file_name);
   GIC.set_color_from_coordinate();
-  GIC.find_Nerve_simplices(); Simplex_tree stree; GIC.create_complex(stree);
+  GIC.find_Nerve_simplices(); Gudhi::graph_induced_complex::Simplex_tree stree; GIC.create_complex(stree);
 
   BOOST_CHECK(stree.num_vertices() == 3);
   BOOST_CHECK((stree.num_simplices()-stree.num_vertices()) == 0);
@@ -49,11 +50,12 @@ BOOST_AUTO_TEST_CASE(check_nerve) {
 
 BOOST_AUTO_TEST_CASE(check_GICMAP) {
 
-  Gudhi::graph_induced_complex::Graph_induced_complex GIC;
+  using Point = std::vector<float>;
+  Gudhi::graph_induced_complex::Graph_induced_complex<Point> GIC;
   std::string cloud_file_name("data/cloud"); GIC.read_point_cloud(cloud_file_name); GIC.set_color_from_coordinate();
   std::string graph_file_name("data/graph"); GIC.set_graph_from_file(graph_file_name);
   std::string cover_file_name("data/cover"); GIC.set_cover_from_file(cover_file_name);
-  GIC.find_GICMAP_simplices_with_functional_minimal_cover(); Simplex_tree stree; GIC.create_complex(stree);
+  GIC.find_GICMAP_simplices_with_functional_minimal_cover(); Gudhi::graph_induced_complex::Simplex_tree stree; GIC.create_complex(stree);
 
   BOOST_CHECK(stree.num_vertices() == 3);
   BOOST_CHECK((stree.num_simplices()-stree.num_vertices()) == 2);
@@ -62,11 +64,12 @@ BOOST_AUTO_TEST_CASE(check_GICMAP) {
 
 BOOST_AUTO_TEST_CASE(check_GICcover) {
 
-  Gudhi::graph_induced_complex::Graph_induced_complex GIC;
+  using Point = std::vector<float>;
+  Gudhi::graph_induced_complex::Graph_induced_complex<Point> GIC;
   std::string cloud_file_name("data/cloud"); GIC.read_point_cloud(cloud_file_name); GIC.set_color_from_coordinate();
   std::string graph_file_name("data/graph"); GIC.set_graph_from_file(graph_file_name);
   std::string cover_file_name("data/cover"); GIC.set_cover_from_file(cover_file_name);
-  GIC.find_GIC_simplices(); Simplex_tree stree; GIC.create_complex(stree);
+  GIC.find_GIC_simplices(); Gudhi::graph_induced_complex::Simplex_tree stree; GIC.create_complex(stree);
 
   BOOST_CHECK(stree.num_vertices() == 3);
   BOOST_CHECK((stree.num_simplices()-stree.num_vertices()) == 4);
@@ -76,11 +79,12 @@ BOOST_AUTO_TEST_CASE(check_GICcover) {
 
 BOOST_AUTO_TEST_CASE(check_GICvoronoi) {
 
-  Gudhi::graph_induced_complex::Graph_induced_complex GIC;
+  using Point = std::vector<float>;
+  Gudhi::graph_induced_complex::Graph_induced_complex<Point> GIC;
   std::string cloud_file_name("data/cloud"); GIC.read_point_cloud(cloud_file_name); GIC.set_color_from_coordinate();
   std::string graph_file_name("data/graph"); GIC.set_graph_from_file(graph_file_name);
-  GIC.set_cover_from_Voronoi(2);
-  GIC.find_GIC_simplices(); Simplex_tree stree; GIC.create_complex(stree);
+  GIC.set_cover_from_Voronoi(Gudhi::Euclidean_distance(),2);
+  GIC.find_GIC_simplices(); Gudhi::graph_induced_complex::Simplex_tree stree; GIC.create_complex(stree);
 
   BOOST_CHECK(stree.num_vertices() == 2);
   BOOST_CHECK((stree.num_simplices()-stree.num_vertices()) == 1);