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Fix nesting of <center><b>; Capitalize headings

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Andreas Fabri 2012-08-20 18:06:50 +00:00
parent b1cc9e0f68
commit d409ffdd7f
1 changed files with 6 additions and 6 deletions
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12
Alpha_shapes_3/doc/Alpha_shapes_3/Alpha_shapes_3.txt
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@ -77,7 +77,7 @@ of the alpha complex where singular faces are removed
\anchor figgenregex
\image html gen-reg-ex.png
<center><b>Comparison of general and regularized alpha-shape. <B>Left:</B> Some points are taken on the surface of a torus, three points being taken relatively far from the surface of the torus; <B>Middle:</B> The general alpha-shape (for a large enough alpha value) contains the singular triangle facet of the three isolated points; <B>Right:</B> The regularized version (for the same value of alpha) does not contains any singular facet.</center></b>
<center><b>Comparison of general and regularized alpha-shape. <B>Left:</B> Some points are taken on the surface of a torus, three points being taken relatively far from the surface of the torus; <B>Middle:</B> The general alpha-shape (for a large enough alpha value) contains the singular triangle facet of the three isolated points; <B>Right:</B> The regularized version (for the same value of alpha) does not contains any singular facet.</b></center>
The alpha shapes of a set of points
@ -119,7 +119,7 @@ regularized versions.
\section I1_SectAlpha_Shape_3 Functionality
## Family of alpha shapes ##
## Family of Alpha Shapes ##
The class `CGAL::Alpha_shape_3<Dt,ExactAlphaComparisonTag>` represents the whole
family of alpha shapes for a given set of points.
@ -143,15 +143,15 @@ Finally, it provides a function to determine
the smallest value \f$ \alpha\f$
such that the alpha shape satisfies the following two properties
(ii) all data points are either on the boundary or in the interior
(i) all data points are either on the boundary or in the interior
of the regularized version of the alpha shape (no singular faces).
(i) 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 .<BR>
The current implementation is static, that is after its construction
points cannot be inserted or removed.
## Alpha shape for a fixed alpha ##
## Alpha Shape for a Fixed Alpha ##
Given a value of alpha, the class `CGAL::Fixed_alpha_shape_3<Dt>` represents one
alpha shape for a given set of points.
@ -162,7 +162,7 @@ a classification type.<BR>
The current implementation of this class is dynamic, that is after its construction
points can be inserted or removed.
## Classification and iterators ##
## Classification and Iterators ##
Both classes provide member functions to classify for a (given) value
of \f$ alpha\f$ the different faces of the triangulation as