From ffc7e9a934feeb9549e657c3a9c43992e7c11ccc Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Mael=20Rouxel-Labb=C3=A9?=
 <mael.rouxel.labbe@geometryfactory.com>
Date: Tue, 10 Dec 2019 14:40:47 +0100
Subject: [PATCH] Minor doc changes

---
 .../Concepts/OrientedBoundingBoxTraits.h      |   4 ++++
 .../PackageDescription.txt                    |   4 ++--
 .../fig/optimal_bounding_box.png              | Bin 0 -> 11012 bytes
 .../Oriented_bounding_box_traits.h            |   3 ---
 .../oriented_bounding_box.h                   |  18 +++++++++---------
 5 files changed, 15 insertions(+), 14 deletions(-)
 create mode 100644 Optimal_bounding_box/doc/Optimal_bounding_box/fig/optimal_bounding_box.png

diff --git a/Optimal_bounding_box/doc/Optimal_bounding_box/Concepts/OrientedBoundingBoxTraits.h b/Optimal_bounding_box/doc/Optimal_bounding_box/Concepts/OrientedBoundingBoxTraits.h
index f5ef85a757a..4744f230071 100644
--- a/Optimal_bounding_box/doc/Optimal_bounding_box/Concepts/OrientedBoundingBoxTraits.h
+++ b/Optimal_bounding_box/doc/Optimal_bounding_box/Concepts/OrientedBoundingBoxTraits.h
@@ -21,6 +21,10 @@ public:
   /// The 3D point type; must be model of `Point_3`
   typedef unspecified_type                                Point_3;
 
+  /// The 3D affine transformation type; the template parameter `K` must be a model of `Kernel`
+  /// and be compatible with the type `Point_3`.
+  typedef CGAL::Aff_transformation_3<K>                   Aff_transformation_3;
+
   /// A construction object that must provide the function operator:
   /// `CGAL::Bbox_3 operator()(const Point_3&)`,
   /// which returns an axis-aligned bounding that contains the point
diff --git a/Optimal_bounding_box/doc/Optimal_bounding_box/PackageDescription.txt b/Optimal_bounding_box/doc/Optimal_bounding_box/PackageDescription.txt
index e5b5e9f4b5c..438f248e4c5 100644
--- a/Optimal_bounding_box/doc/Optimal_bounding_box/PackageDescription.txt
+++ b/Optimal_bounding_box/doc/Optimal_bounding_box/PackageDescription.txt
@@ -15,10 +15,10 @@
 /*!
 \addtogroup PkgOptimalBoundingBoxRef
 \cgalPkgDescriptionBegin{Optimal Bounding Box,PkgOptimalBoundingBox}
-\cgalPkgPicture{Envelope_2.png}
+\cgalPkgPicture{optimal_bounding_box.png}
 \cgalPkgSummaryBegin
 \cgalPkgAuthor{Konstantinos Katrioplas, Mael Rouxel-Labbé}
-\cgalPkgDesc{This package provides functions to compute oriented bounding boxes around a point set or a polygon mesh.}
+\cgalPkgDesc{This package provides functions to compute tight oriented bounding boxes around a point set or a polygon mesh.}
 \cgalPkgManuals{Chapter_Building_Optimal_Bounding_Box,PkgOptimalBoundingBoxRef}
 \cgalPkgSummaryEnd
 \cgalPkgShortInfoBegin
diff --git a/Optimal_bounding_box/doc/Optimal_bounding_box/fig/optimal_bounding_box.png b/Optimal_bounding_box/doc/Optimal_bounding_box/fig/optimal_bounding_box.png
new file mode 100644
index 0000000000000000000000000000000000000000..a85355c06ed639add2ac1be40e06f480a91530f2
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diff --git a/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/Oriented_bounding_box_traits.h b/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/Oriented_bounding_box_traits.h
index 63e5bae7ec4..b76670cdda0 100644
--- a/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/Oriented_bounding_box_traits.h
+++ b/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/Oriented_bounding_box_traits.h
@@ -58,9 +58,6 @@ private:
   typedef typename Matrix::EigenType                   EigenType;
 
 public:
-  /// Constructor from the base kernel
-  explicit Oriented_bounding_box_traits() { }
-
   /// Offers `construct_bbox_3_object()(const Point_3&)`
   Construct_bbox_3 construct_bbox_3_object() const { return Construct_bbox_3(); }
 
diff --git a/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/oriented_bounding_box.h b/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/oriented_bounding_box.h
index 152df7a6bd2..709ca28a74c 100644
--- a/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/oriented_bounding_box.h
+++ b/Optimal_bounding_box/include/CGAL/Optimal_bounding_box/oriented_bounding_box.h
@@ -183,9 +183,9 @@ void construct_oriented_bounding_box(Output& output,
 /// which is defined as the rectangular box with smallest volume of all the rectangular boxes containing
 /// the input points.
 ///
-/// Internally, the algorithm uses an optimization process to find a transformation (rotation)
+/// Internally, the algorithm uses an optimization process to compute a transformation (rotation)
 /// \f$ {\mathcal R}_b\f$ such that the axis-aligned box of the rotated input point set
-/// has a volume that is as small as possible.
+/// has a volume that is as small as possible given a fixed maximal number of optimization iterations.
 ///
 /// \cgalHeading{Input}
 ///
@@ -193,7 +193,7 @@ void construct_oriented_bounding_box(Output& output,
 ///
 /// \cgalHeading{Output}
 ///
-/// The result of the algorithm can be obtained as either:
+/// The result of the algorithm can be retrieved as either:
 /// - the best affine transformation (\f$ {\mathcal R}_b\f$) that the algorithm has found;
 /// - an array of eight points, representing the best oriented bounding box (\f$ {\mathcal B}_b\f$)
 ///   that the algorithm has constructed, which is related to (\f$ {\mathcal R}_b\f$) as it is
@@ -203,8 +203,8 @@ void construct_oriented_bounding_box(Output& output,
 ///   which is a useful function to construct a mesh from these points.
 ///
 /// Note that when returning an array of points, these points are constructed from the axis-aligned
-/// bounding box and some precision loss should be expected if a kernel not providing exact constructions
-/// is used.
+/// bounding box and some precision loss should therefore be expected if a kernel not providing
+/// exact constructions is used.
 ///
 /// The algorithm is based on a paper by Chang, Gorissen, and Melchior \cgalCite{cgal:cgm-fobbo-11}.
 
@@ -213,8 +213,8 @@ void construct_oriented_bounding_box(Output& output,
 /// See above.
 ///
 /// \tparam PointRange a model of `Range`
-/// \tparam Output `std::array<Point, 8>` with `Point` being equivalent to the traits' `Point_3` type,
-///                or `CGAL::Affine_transformation_3<K>` with `K` being a kernel compatible with the point type.
+/// \tparam Output either `std::array<Point, 8>` with `Point` being equivalent to the traits' `Point_3` type,
+///                or the traits' `Affine_transformation_3` type
 /// \tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
 ///
 /// \param points the input points
@@ -292,8 +292,8 @@ void oriented_bounding_box(const PointRange& points,
 /// Extracts the vertices of the mesh as a point range and calls the other overload.
 ///
 /// \tparam PolygonMesh a model of `VertexListGraph`
-/// \tparam Output `std::array<Point, 8>` with `Point` being equivalent to the traits' `Point_3` type,
-///                or `CGAL::Affine_transformation_3<K>` with `K` being a kernel compatible with the point type.
+/// \tparam Output either `std::array<Point, 8>` with `Point` being equivalent to the traits' `Point_3` type,
+///                or the traits' `Affine_transformation_3` type
 /// \tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
 ///
 /// \param pmesh the input mesh