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/*=========================================================================
Program: Visualization Toolkit
Module: vtkHull.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 vtkHull
* @brief produce an n-sided convex hull
*
* vtkHull is a filter which will produce an n-sided convex hull given a
* set of n planes. (The convex hull bounds the input polygonal data.)
* The hull is generated by squeezing the planes towards the input
* vtkPolyData, until the planes just touch the vtkPolyData. Then,
* the resulting planes are used to generate a polyhedron (i.e., hull)
* that is represented by triangles.
*
* The n planes can be defined in a number of ways including 1) manually
* specifying each plane; 2) choosing the six face planes of the input's
* bounding box; 3) choosing the eight vertex planes of the input's
* bounding box; 4) choosing the twelve edge planes of the input's
* bounding box; and/or 5) using a recursively subdivided octahedron.
* Note that when specifying planes, the plane normals should point
* outside of the convex region.
*
* The output of this filter can be used in combination with vtkLODActor
* to represent a levels-of-detail in the LOD hierarchy. Another use of
* this class is to manually specify the planes, and then generate the
* polyhedron from the planes (without squeezing the planes towards the
* input). The method GenerateHull() is used to do this.
*/
#ifndef vtkHull_h
#define vtkHull_h
#include "vtkFiltersCoreModule.h" // For export macro
#include "vtkPolyDataAlgorithm.h"
class vtkCellArray;
class vtkPlanes;
class vtkPoints;
class vtkPolyData;
class VTKFILTERSCORE_EXPORT vtkHull : public vtkPolyDataAlgorithm
{
public:
static vtkHull* New();
vtkTypeMacro(vtkHull, vtkPolyDataAlgorithm);
void PrintSelf(ostream& os, vtkIndent indent) override;
/**
* Remove all planes from the current set of planes.
*/
void RemoveAllPlanes(void);
//@{
/**
* Add a plane to the current set of planes. It will be added at the
* end of the list, and an index that can later be used to set this
* plane's normal will be returned. The values A, B, C are from the
* plane equation Ax + By + Cz + D = 0. This vector does not have to
* have unit length (but it must have a non-zero length!). If a value
* 0 > i >= -NumberOfPlanes is returned, then the plane is parallel
* with a previously inserted plane, and |-i-1| is the index of the
* plane that was previously inserted. If a value i < -NumberOfPlanes
* is returned, then the plane normal is zero length.
*/
int AddPlane(double A, double B, double C);
int AddPlane(double plane[3]);
//@}
//@{
/**
* Set the normal values for plane i. This is a plane that was already
* added to the current set of planes with AddPlane(), and is now being
* modified. The values A, B, C are from the plane equation
* Ax + By + Cz + D = 0. This vector does not have to have unit length.
* Note that D is set to zero, except in the case of the method taking
* a vtkPlanes* argument, where it is set to the D value defined there.
*/
void SetPlane(int i, double A, double B, double C);
void SetPlane(int i, double plane[3]);
//@}
//@{
/**
* Variations of AddPlane()/SetPlane() that allow D to be set. These
* methods are used when GenerateHull() is used.
*/
int AddPlane(double A, double B, double C, double D);
int AddPlane(double plane[3], double D);
void SetPlane(int i, double A, double B, double C, double D);
void SetPlane(int i, double plane[3], double D);
//@}
/**
* Set all the planes at once using a vtkPlanes implicit function.
* This also sets the D value, so it can be used with GenerateHull().
*/
void SetPlanes(vtkPlanes* planes);
//@{
/**
* Get the number of planes in the current set of planes.
*/
vtkGetMacro(NumberOfPlanes, int);
//@}
/**
* Add the 8 planes that represent the vertices of a cube - the combination
* of the three face planes connecting to a vertex - (1,1,1), (1,1,-1),
* (1,-1,1), (1,-1,1), (-1,1,1), (-1,1,-1), (-1,-1,1), (-1,-1-1).
*/
void AddCubeVertexPlanes();
/**
* Add the 12 planes that represent the edges of a cube - halfway between
* the two connecting face planes - (1,1,0), (-1,-1,0), (-1,1,0), (1,-1,0),
* (0,1,1), (0,-1,-1), (0,1,-1), (0,-1,1), (1,0,1), (-1,0,-1),
* (1,0,-1), (-1,0,1)
*/
void AddCubeEdgePlanes();
/**
* Add the six planes that make up the faces of a cube - (1,0,0),
* (-1, 0, 0), (0,1,0), (0,-1,0), (0,0,1), (0,0,-1)
*/
void AddCubeFacePlanes();
/**
* Add the planes that represent the normals of the vertices of a
* polygonal sphere formed by recursively subdividing the triangles
* in an octahedron. Each triangle is subdivided by connecting the
* midpoints of the edges thus forming 4 smaller triangles. The
* level indicates how many subdivisions to do with a level of 0
* used to add the 6 planes from the original octahedron, level 1
* will add 18 planes, and so on.
*/
void AddRecursiveSpherePlanes(int level);
//@{
/**
* A special method that is used to generate a polyhedron directly
* from a set of n planes. The planes that are supplied by the user
* are not squeezed towards the input data (in fact the user need
* not specify an input). To use this method, you must provide an
* instance of vtkPolyData into which the points and cells defining
* the polyhedron are placed. You must also provide a bounding box
* where you expect the resulting polyhedron to lie. This can be
* a very generous fit, it's only used to create the initial polygons
* that are eventually clipped.
*/
void GenerateHull(vtkPolyData* pd, double* bounds);
void GenerateHull(
vtkPolyData* pd, double xmin, double xmax, double ymin, double ymax, double zmin, double zmax);
//@}
protected:
vtkHull();
~vtkHull() override;
// The planes - 4 doubles per plane for A, B, C, D
double* Planes;
// This indicates the current size (in planes - 4*sizeof(double)) of
// the this->Planes array. Planes are allocated in chunks so that the
// array does not need to be reallocated every time a new plane is added
int PlanesStorageSize;
// The number of planes that have been added
int NumberOfPlanes;
// Internal method used to find the position of each plane
void ComputePlaneDistances(vtkPolyData* input);
// Internal method used to create the actual polygons from the set
// of planes
void ClipPolygonsFromPlanes(vtkPoints* points, vtkCellArray* polys, const double* bounds);
// Internal method used to create the initial "big" polygon from the
// plane equation. This polygon is clipped by all other planes to form
// the final polygon (or it may be clipped entirely)
void CreateInitialPolygon(double*, int, const double*);
// The method that does it all...
int RequestData(vtkInformation*, vtkInformationVector**, vtkInformationVector*) override;
private:
vtkHull(const vtkHull&) = delete;
void operator=(const vtkHull&) = delete;
};
#endif