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hoskillua 2023-03-25 13:29:15 +02:00
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Polygon_mesh_processing/doc/Polygon_mesh_processing/Polygon_mesh_processing.txt
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@ -896,10 +896,10 @@ and meshes with n-gon faces. The algorithms used prove to work well in general.
with noise on vertex positions, they give accurate results, on the condition that the with noise on vertex positions, they give accurate results, on the condition that the
correct vertex normals are provided. correct vertex normals are provided.
The implementation is generic in terms of mesh data structure. It can be used on Surface_mesh, The implementation is generic in terms of mesh data structure. It can be used on `Surface_mesh`,
Polyhedron_3 and other polygonal mesh structures based on the Face Graph Model. `Polyhedron_3` and other polygonal mesh structures based on the concept `FaceGraph`.
These computations are performed using (on all vertices of mesh): These computations are performed using (on all vertices of the mesh):
- `CGAL::Polygon_mesh_processing::interpolated_corrected_mean_curvature()` - `CGAL::Polygon_mesh_processing::interpolated_corrected_mean_curvature()`
- `CGAL::Polygon_mesh_processing::interpolated_corrected_Gaussian_curvature()` - `CGAL::Polygon_mesh_processing::interpolated_corrected_Gaussian_curvature()`
- `CGAL::Polygon_mesh_processing::interpolated_corrected_principal_curvatures_and_directions()` - `CGAL::Polygon_mesh_processing::interpolated_corrected_principal_curvatures_and_directions()`
@ -916,29 +916,25 @@ Similarly, we can use the following functions to compute curvatures on a specifi
\cgalFigureRef{icc_diff_radius} shows how the mean curvature changes depending on \cgalFigureRef{icc_diff_radius} shows how the mean curvature changes depending on
the ball_radius named parameter which can be set to a value > 0 to get a smoother the named parameter `ball_radius`, which can be set to a value > 0 to get a smoother
distribution of values and "diffuse" the extreme values of curvatures across the mesh. distribution of values and "diffuses" the extreme values of curvatures across the mesh.
\cgalFigureAnchor{icc_diff_radius} \cgalFigureAnchor{icc_diff_radius}
<center> <center>
<img src="icc_diff_radius.png" style="max-width:90%;"/> <img src="icc_diff_radius.png" style="max-width:85%;"/>
</center> </center>
\cgalFigureCaptionBegin{icc_diff_radius} \cgalFigureCaptionBegin{icc_diff_radius}
The mean curvature distribution on a bear mesh with different values for the expanding ball radius The mean curvature distribution on a bear mesh with different values for the ball radius parameter
\cgalFigureCaptionEnd \cgalFigureCaptionEnd
Property maps are used to record the computed curvatures as shown in examples. \ref BGLPropertyMaps are used to record the computed curvatures as shown in examples. In the following examples, for each property map, we associate
Property maps are an API introduced in the boost library that allows associating
values to keys. In the following examples, for each property map, we associate
a curvature value to each vertex. a curvature value to each vertex.
\subsection ICCExampleSM Interpolated Corrected Curvatures on a Surface Mesh Example \subsection ICCExampleSM Interpolated Corrected Curvatures on a Surface Mesh Example
The following example illustrates how to The following example illustrates how to
compute the curvatures on vertices compute the curvatures on vertices
and store them in property maps provided by the class `Surface_mesh`. and store them in the property maps provided by the class `Surface_mesh`.
\cgalExample{Polygon_mesh_processing/interpolated_corrected_curvatures_SM.cpp} \cgalExample{Polygon_mesh_processing/interpolated_corrected_curvatures_SM.cpp}