The class Fixed_alpha_shape_3<Dt> represents one (fixed) alpha shape of points in the 3D space for a real α. It maintains an underlying triangulation of the class Dt which represents connectivity and order among its faces. Each k-dimensional face of the Dt is associated with a classification that specifies its status in the alpha complex, alpha being fixed.
Note that this class can be used at the same time to build a basic or a weighted Alpha Shape .
#include <CGAL/Fixed_alpha_shape_3.h>
Dt
This class is the underlying triangulation class.
The modifying functions insert and remove will overwrite the inherited functions.
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the alpha shape traits type.
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| the number type of alpha. |
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Enum to classify the simplices of the underlying
triangulation with respect to a given alpha value. Each k-dimensional simplex of the triangulation can be classified as EXTERIOR, SINGULAR, REGULAR or INTERIOR. A k simplex is REGULAR if it is on the boundary of the alpha complex and belongs to a k+1 simplex in this complex and it is SINGULAR if it is a boundary simplex that is not included in a k+1 simplex of the complex.
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Introduces an empty alpha shape data structure
A and set the alpha value to alpha.
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Builds an alpha shape from the triangulation dt,
and set the alpha value to alpha.
Be careful that this operation destroys the triangulation.
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Builds an alpha shape data structure
for the points in the range
[.first, last.) and
set the alpha value to alpha.
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| Returns the α-value. |
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| Classifies the cell c of the underlying triangulation in the alpha complex. |
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| Classifies the facet f of the underlying triangulation in the alpha complex. |
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Classifies the facet of the cell f opposite to the vertex with index i of the underlying triangulation in the alpha complex. | ||
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| Classifies the edge e of the underlying triangulation in the alpha complex. |
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Classifies the vertex v of the underlying triangulation in the alpha complex. | ||
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Writes the cells which are of type type in the alpha complex to the sequence pointed to by the output iterator it. Returns past the end of the output sequence. | ||
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Writes the facets which are of type type in the alpha complex to the sequence pointed to by the output iterator it. Returns past the end of the output sequence. | ||
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Writes the edges which are of type type in the alpha complex to the sequence pointed to by the output iterator it. Returns past the end of the output sequence. | ||
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Writes the vertices which are of type type in the alpha complex to the sequence pointed to by the output iterator it. Returns past the end of the output sequence. |
The I/O operators are defined for iostream, and for the window stream provided by Cgal. The format for the iostream is an internal format.
#include <CGAL/IO/io.h>
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Inserts the alpha shape A into the stream os.
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