CGAL 4.3 - 3D Surface Mesh Generation
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#include <CGAL/Gray_level_image_3.h>
A 3D gray image is a tri-dimensional array that associates a scalar value to each triple of integer \( (x, y, z)\) in the range of the image.
A trilinear interpolation algorithm provides a map \( f : \mathbb{R}^3 \longrightarrow \mathbb{R}\).
The class Gray_level_image_3
is a 3D gray image loader and a model of the concept ImplicitFunction
. An object of the class Gray_level_image_3
is created with a parameter iso_value
and then its operator()
implements the function sign of (f(p) - iso)
, for \( p \in \mathbb{R}^3\). Plugging such a function in the creation of the Implicit_surface_3
object given as parameter to make_surface_mesh()
yields a mesh approximating the level with value iso
in the input 3D gray image.
Gray_level_image_3
provides an interface with an auxiliary library called CGAL_ImageIO. An executable that uses Gray_level_image_3
must be linked with the CGAL_ImageIO library.
The library CGAL_ImageIO and therefore Gray_level_image_3
support several types of 3D images: INRIMAGE (extension .inr[.gz]), GIS (extension .dim, of .ima[.gz]), and ANALYZE (extension .hdr, or .img[.gz]).
ImplicitFunction
Implicit_surface_3<Traits, Function>
make_surface_mesh
Types | |
typedef FT_ | FT |
the numerical type FT . | |
typedef Point_ | Point |
the point type. | |
Creation | |
Gray_level_image_3 (const char *filename, FT iso_value) | |
filename is the path to a file of a type supported by ImageIO. More... | |
Operations | |
FT | operator (const Point &p) const |
Returns the sign of \( f(p)\) - iso_value . | |
CGAL::Gray_level_image_3< FT_, Point_ >::Gray_level_image_3 | ( | const char * | filename, |
FT | iso_value | ||
) |
filename
is the path to a file of a type supported by ImageIO.
iso_value
is an isovalue of the interpolation function \( f\).