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/*=========================================================================
Program: Visualization Toolkit
Module: vtkMeanValueCoordinatesInterpolator.h
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notice for more information.
=========================================================================*/
/**
* @class vtkMeanValueCoordinatesInterpolator
* @brief compute interpolation computes
* for closed triangular mesh
*
* vtkMeanValueCoordinatesInterpolator computes interpolation weights for a
* closed, manifold polyhedron mesh. Once computed, the interpolation
* weights can be used to interpolate data anywhere interior or exterior to
* the mesh. This work implements two MVC algorithms. The first one is for
* triangular meshes which is documented in the Siggraph 2005 paper by Tao Ju,
* Scot Schaefer and Joe Warren from Rice University "Mean Value Coordinates
* for Closed Triangular Meshes". The second one is for general polyhedron
* mesh which is documented in the Eurographics Symposium on Geometry Processing
* 2006 paper by Torsten Langer, Alexander Belyaev and Hans-Peter Seidel from
* MPI Informatik "Spherical Barycentric Coordinates".
* The filter will automatically choose which algorithm to use based on whether
* the input mesh is triangulated or not.
*
* In VTK this class was initially created to interpolate data across
* polyhedral cells. In addition, the class can be used to interpolate
* data values from a polyhedron mesh, and to smoothly deform a mesh from
* an associated control mesh.
*
* @sa
* vtkPolyhedralCell
*/
#ifndef vtkMeanValueCoordinatesInterpolator_h
#define vtkMeanValueCoordinatesInterpolator_h
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkObject.h"
class vtkPoints;
class vtkIdList;
class vtkCellArray;
class vtkDataArray;
// Special internal class for iterating over data
class vtkMVCTriIterator;
class vtkMVCPolyIterator;
class VTKCOMMONDATAMODEL_EXPORT vtkMeanValueCoordinatesInterpolator : public vtkObject
{
public:
//@{
/**
* Standard instantiable class methods.
*/
static vtkMeanValueCoordinatesInterpolator* New();
vtkTypeMacro(vtkMeanValueCoordinatesInterpolator, vtkObject);
void PrintSelf(ostream& os, vtkIndent indent) override;
//@}
/**
* Method to generate interpolation weights for a point x[3] from a list of
* triangles. In this version of the method, the triangles are defined by
* a vtkPoints array plus a vtkIdList, where the vtkIdList is organized
* such that three ids in order define a triangle. Note that number of weights
* must equal the number of points.
*/
static void ComputeInterpolationWeights(
const double x[3], vtkPoints* pts, vtkIdList* tris, double* weights);
/**
* Method to generate interpolation weights for a point x[3] from a list of
* polygonal faces. In this version of the method, the faces are defined by
* a vtkPoints array plus a vtkCellArray, where the vtkCellArray contains all
* faces and is of format [nFace0Pts, pid1, pid2, pid3,..., nFace1Pts, pid1,
* pid2, pid3,...]. Note: the number of weights must equal the number of points.
*/
static void ComputeInterpolationWeights(
const double x[3], vtkPoints* pts, vtkCellArray* tris, double* weights);
protected:
vtkMeanValueCoordinatesInterpolator();
~vtkMeanValueCoordinatesInterpolator() override;
/**
* Internal method that sets up the processing of triangular meshes.
*/
static void ComputeInterpolationWeightsForTriangleMesh(
const double x[3], vtkPoints* pts, vtkMVCTriIterator& iter, double* weights);
/**
* Internal method that sets up the processing of general polyhedron meshes.
*/
static void ComputeInterpolationWeightsForPolygonMesh(
const double x[3], vtkPoints* pts, vtkMVCPolyIterator& iter, double* weights);
private:
vtkMeanValueCoordinatesInterpolator(const vtkMeanValueCoordinatesInterpolator&) = delete;
void operator=(const vtkMeanValueCoordinatesInterpolator&) = delete;
};
#endif
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