bgeot_geotrans_inv.h File Reference

Inversion of geometric transformations. More...

#include "bgeot_geometric_trans.h"
#include "bgeot_small_vector.h"
#include "bgeot_kdtree.h"

Go to the source code of this file.

Classes
class	bgeot::geotrans_inv_convex
	does the inversion of the geometric transformation for a given convex More...
class	bgeot::geotrans_inv
	handles the geometric inversion for a given (supposedly quite large) set of points More...

Namespaces
	bgeot
	Basic Geometric Tools.

Detailed Description

Inversion of geometric transformations.

Author

Yves Renard Yves..nosp@m.Rena.nosp@m.rd@in.nosp@m.sa-l.nosp@m.yon.f.nosp@m.r

Date

December 20, 2000. Inversion means: given a set of convexes and a point, find:

• a subset of candidate convexes, which are likely to contain the point (using bgeot::kdtree).
• on these candidate convexes, invert the geometric transformation, i.e. find the corresponding coordinates on the reference element.

Inversion of a geometric transformation is not a trivial task, especially with non-linear geometric transformations. This is the central part of interpolation routines from a getfem::mesh_fem onto another.

Definition in file bgeot_geotrans_inv.h.