diff --git a/Documentation/doc/biblio/cgal_manual.bib b/Documentation/doc/biblio/cgal_manual.bib
index 70004c3a6e8..0c10fc03980 100644
--- a/Documentation/doc/biblio/cgal_manual.bib
+++ b/Documentation/doc/biblio/cgal_manual.bib
@@ -464,6 +464,30 @@ note="Conference version: Symp. on Geometry Processing 2003"
   ,update       = "97.08 kettner"
 }
 
+
+@article{cgal:cww-ghnac-13,
+ author = {Crane, Keenan and Weischedel, Clarisse and Wardetzky, Max},
+ title = {Geodesics in Heat: A New Approach to Computing Distance Based on Heat Flow},
+ journal = {ACM Trans. Graph.},
+ issue_date = {September 2013},
+ volume = {32},
+ number = {5},
+ month = oct,
+ year = {2013},
+ issn = {0730-0301},
+ pages = {152:1--152:11},
+ articleno = {152},
+ numpages = {11},
+ url = {http://doi.acm.org/10.1145/2516971.2516977},
+ doi = {10.1145/2516971.2516977},
+ acmid = {2516977},
+ publisher = {ACM},
+ address = {New York, NY, USA},
+ keywords = {Digital geometry processing, discrete differential geometry, distance transform, geodesic distance, heat kernel},
+}
+
+
+
 @PhdThesis{ cgal:d-ccccg-10,
        author = {Damiand, G.},
        title = {Contributions aux Cartes Combinatoires et Cartes G\'en\'eralis\'ees : Simplification, Mod\`eles, Invariants Topologiques et Applications},
@@ -715,6 +739,23 @@ Teillaud"
   ,update       = "95.09 mitchell"
 }
 
+@inproceedings{cgal:fsbs-acidt-06,
+ author = {Fisher, Matthew and Springborn, Boris and Bobenko, Alexander I. and Schroder, Peter},
+ title = {An Algorithm for the Construction of Intrinsic Delaunay Triangulations with Applications to Digital Geometry Processing},
+ booktitle = {ACM SIGGRAPH 2006 Courses},
+ series = {SIGGRAPH '06},
+ year = {2006},
+ isbn = {1-59593-364-6},
+ location = {Boston, Massachusetts},
+ pages = {69--74},
+ numpages = {6},
+ url = {http://doi.acm.org/10.1145/1185657.1185668},
+ doi = {10.1145/1185657.1185668},
+ acmid = {1185668},
+ publisher = {ACM},
+ address = {New York, NY, USA},
+}
+
 @InCollection{ cgal:fh-survey-05,
    author    = {M. S. Floater and K. Hormann},
    title     = {Surface Parameterization: a Tutorial and Survey},
@@ -1096,7 +1137,7 @@ Teillaud"
  isbn = {9781848002784},
  edition = {3rd},
  publisher = {Springer Publishing Company, Incorporated}
-} 
+}
 
 @inproceedings { cgal:l-nmdgp-05,
   AUTHOR = {Bruno Levy},
diff --git a/Heat_method_3/doc/Heat_method_3/Heat_method_3.txt b/Heat_method_3/doc/Heat_method_3/Heat_method_3.txt
index 728e53d3526..cbb56404f33 100644
--- a/Heat_method_3/doc/Heat_method_3/Heat_method_3.txt
+++ b/Heat_method_3/doc/Heat_method_3/Heat_method_3.txt
@@ -6,11 +6,26 @@ namespace CGAL {
 \cgalAutoToc
 \author Keenan Crane, Christina Vaz, Andreas Fabri
 
-This chapter describes the ...
+This chapter describes the algorithm behind the Heat Method \cgalCite{cgal:cww-ghnac-13} and the algorithm behind Intrinsic Delaunay Triangulation \cgalCite{cgal:fsbs-acidt-06}.
+
+The Heat Method is an algorithm that solves the multiple-source shortest path problem by returning the distance from the points in the domain to the closest point in the source set.
+This algorithm computes this by first determining the direction along which distance increases and finishes by recovering the actual distance.
+The Heat Method is more efficient and more robust than previous distance computations, as the algorithm boils down to two standard, numerical linear algebra problems.
+
+
+In Section \ref sec_HM_definitions we give some definitions. In Section \ref sec_HM_history we explain the design of the algorithm and traits.
+
+Note that this package requires the third party library <a href="https://doc.cgal.org/latest/Manual/installation.html#thirdpartyEigen">Eigen</a>.
+This implementation is based on \cgalCite{cgal:cww-ghnac-13} and \cgalCite{cgal:fsbs-acidt-06}
 
 \section sec_HM_definitions Definitions
+Section \ref Subsection_HM_Definitions_Intro gives an overview of the structures needed by the heat method and how to calculate them. The Section
+\ref Subsection_HM_IDT_Definitions gives the background needed for the Intrinsic Delaunay Triangulation. 
 
-Section on definitions here ...
+
+\subsection Subsection_HM_Definitions_Intro The Heat Method Algorithm
+
+\subsection Subsection_HM_IDT_Definitions
 
 \section sec_HM_examples Examples