user manual

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Sébastien Loriot 2023-12-08 13:20:23 +01:00
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\section PMPGeometricRepair Geometric Repair
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\subsection PMPAutoref Self-intersection Resolution (Autorefinement) in Triangle Soups
Given a soup of triangles, a self-intersection is defined as the intersection of two triangles from the soup
such that the intersection is not defined by the convex hull of one, two or three shared vertices.
In other words, it is an intersection that happens in the interior of one of the two triangles, or in the interior
of one their edges, except if identical points are associated to different vertices of the triangle soup which
would then also includes overlaps of duplicated points.
The function `CGAL::Polygon_mesh_processing::autorefine_triangle_soup()` provides a way to refine a triangle soup
using the intersections of the triangles from the soup. In particular, if some points are duplicated they will be
merged. Note that if a kernel with exact predicates but inexact constructions is used, some new self-intersections
might be introduced due to rounding issues of points coordinates.
To guarantee that the triangle soup is free from self-intersections, a kernel with exact constructions must be used.
\subsection PMPRemoveCapsNeedles Removal of Almost Degenerate Triangle Faces
Triangle faces of a mesh made up of almost collinear points are badly shaped elements that
might not be desirable to have in a mesh. The function

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\example Polygon_mesh_processing/cc_compatible_orientations.cpp
\example Polygon_mesh_processing/remesh_planar_patches.cpp
\example Polygon_mesh_processing/remesh_almost_planar_patches.cpp
\example Polygon_mesh_processing/soup_autorefinement.cpp
*/