Remove whitespace

This commit is contained in:
Andreas Fabri 2012-08-20 18:30:46 +00:00
parent d409ffdd7f
commit 3dfd7031c2
17 changed files with 35 additions and 35 deletions

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@ -146,7 +146,7 @@ such that the alpha shape satisfies the following two properties
(i) all data points are either on the boundary or in the interior
of the regularized version of the alpha shape (no singular faces).
(ii) The number of components is equal or less than a given number .<BR>
(ii) The number of components is equal or less than a given number.
The current implementation is static, that is after its construction
points cannot be inserted or removed.

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@ -69,7 +69,7 @@ in the chapter on 3D Boolean operations on Nef
polyhedra \ref chapterNef3.
Usually, an instance of `Nef_polyhedron_3` does not contain any
redundant items. However, the function `convex_decomposition_3`
redundant items. However, the function `::convex_decomposition_3`
subdivides selected volumes of a given `Nef_polyhedron_3` by
selected facets. These additional facets are therefore redundant,
i.e., their insertion alters the representation of the polyhedron, but

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@ -10,7 +10,7 @@ and the plane equations of each face are not computed.
\pre There are at least four points in the range
[`first`, `last`) not all of which are collinear.
The function `convex_hull_3` computes the convex hull of a given set of
The function `::convex_hull_3` computes the convex hull of a given set of
three-dimensional points
Two versions of this function
are available. The first can be used when it is known that the result
@ -44,7 +44,7 @@ and for the second, it is required that
For both versions, if the kernel `R` of the points determined by `InputIterator::value_type`
is a kernel with exact predicates but inexact constructions
(in practice we check `R::Has_filtered_predicates_tag` is `Tag_true` and `R::FT` is a floating point type),
then the default traits class of `convex_hull_3` is `Convex_hull_traits_3<R>`, and `R` otherwise.
then the default traits class of `::convex_hull_3` is `Convex_hull_traits_3<R>`, and `R` otherwise.
\sa `CGAL::convex_hull_incremental_3`
\sa `CGAL::ch_eddy`
@ -62,7 +62,7 @@ Example
The following program computes the convex hull of a set of 250 random
points chosen from a sphere of radius 100. It then determines if the resulting
hull is a segment or a polyhedron. Notice that the traits class is not
necessary in the call to `convex_hull_3` but is used in the definition
necessary in the call to `::convex_hull_3` but is used in the definition
of `Polyhedron_3`.
\cgalexample{Convex_hull_3/quickhull_3.cpp}

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@ -192,7 +192,7 @@ Convex_hull_d<R>(int d, R Kernel = R());
/// @{
/*!
returns the dimension of ambient space
returns the dimension of ambient space.
*/
int dimension() ;

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@ -42,7 +42,7 @@ The convex hull class is parameterized by a traits class that provides
model <I>e.g.</I>, `Homogeneous<RT>` or `Cartesian<FT>` for use
with `Convex_hull_d`, where the dimension is fixed to three.
The validity of the computed convex hull can be checked using the
member function `is_valid`, which implements the algorithm
member function `::is_valid`, which implements the algorithm
of Mehlhorn <I>et al.</I>\cite mnssssu-cgpvg-96 to determine if
the vertices of a given polytope constitute a strongly convex point
set or not.

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@ -40,7 +40,7 @@ distributed in a sphere (`Random_points_in_sphere_3`)
or cube (`Random_points_in_cube_3`) or on the boundary of a sphere
(`Random_points_on_sphere_3`).
For generating 3D grid points, we provide the function
`points_on_cube_grid_3` that writes to
`::points_on_cube_grid_3` that writes to
an output iterator.
For higher dimensions, input iterators are provided for random points uniformly

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@ -316,12 +316,12 @@ parameters::internal::Perturb_options perturb = parameters::perturb(),
parameters::internal::Exude_options exude = parameters::exude());
\endcode
The function `make_mesh_3` generates from scratch a mesh
The function `::make_mesh_3` generates from scratch a mesh
of the input domain, while
the function `refine_mesh_3` refines
the function `::refine_mesh_3` refines
an existing mesh of the input domain. Note that as the protection
of 0- and 1-dimensional features does not rely on Delaunay
refinement, the function `refine_mesh_3` has no parameter
refinement, the function `r::efine_mesh_3` has no parameter
to preserve features.
## The data structure ##
@ -499,8 +499,8 @@ appropriate values of these types:
These parameters are optional and can be passed in any order.
If one parameter is not passed the default value is used. By default,
only the perturber and the exuder are activated.
Note that whatever may be the optimization processes activated by `make_mesh_3`
or `refine_mesh_3`,
Note that whatever may be the optimization processes activated by `::make_mesh_3`
or `::refine_mesh_3`,
they are always launched in the order that is a suborder
of the following:
`odt smoother`, `Lloyd smoother`, `perturber` and
@ -657,7 +657,7 @@ domain. We add by hand the intersection of the spheres as a sharp feature.
\anchor Mesh_3_subsection_examples_optimization
In the previous examples, the mesh generation is launched through a call
`make_mesh_3(domain,criteria)` with a minimal number of parameters. In such cases,
`::make_mesh_3(domain,criteria)` with a minimal number of parameters. In such cases,
the default optimization strategy is applied: after the Delaunay refinement process
two optimization steps are performed, a perturbation and a sliver exudation.
The following examples show how to disable default optimization steps
@ -671,10 +671,10 @@ a perturbation phase which is launched with no time bound
and an objective of 10 degrees for the minimum dihedral angle
of the mesh.
The example shows two ways of achieving the same result. The first way
issues a single call to `make_mesh_3` with the required optimization
process activated and tuned. In the second way, `make_mesh_3` is first called
issues a single call to `::make_mesh_3` with the required optimization
process activated and tuned. In the second way, `::make_mesh_3` is first called
without any optimization process and the resulting mesh is next optimized
through a call to `perturb_mesh_3` with tuned parameters.
through a call to `::perturb_mesh_3` with tuned parameters.
\cgalexample{Mesh_3/mesh_optimization_example.cpp}

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@ -398,7 +398,7 @@ Therefore, the `Exact_predicates_inexact_constructions_kernel` should be used.
\cgalexample{Straight_skeleton_2/Low_level_API.cpp}
## Exterior Skeletons and Exterior Offset contours ##
## Exterior Skeletons and Exterior Offset Contours ##
This \cgal package can only construct the straight skeleton and offset contours in the <I>interior</I> of a polygon with holes. However, constructing exterior skeletons and exterior offsets is possible: