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Program: Visualization Toolkit
Module: vtkHyperOctree.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 vtkHyperOctree
* @brief A dataset structured as a tree where each node has
* exactly 2^n children.
*
* An hyperoctree is a dataset where each node has either exactly 2^n children
* or no child at all if the node is a leaf. `n' is the dimension of the
* dataset (1 (binary tree), 2 (quadtree) or 3 (octree) ).
* The class name comes from the following paper:
*
* \verbatim
* @ARTICLE{yau-srihari-1983,
* author={Mann-May Yau and Sargur N. Srihari},
* title={A Hierarchical Data Structure for Multidimensional Digital Images},
* journal={Communications of the ACM},
* month={July},
* year={1983},
* volume={26},
* number={7},
* pages={504--515}
* }
* \endverbatim
*
* Each node is a cell. Attributes are associated with cells, not with points.
* The geometry is implicitly given by the size of the root node on each axis
* and position of the center and the orientation. (TODO: review center
* position and orientation). The geometry is then not limited to an hybercube
* but can have a rectangular shape.
* Attributes are associated with leaves. For LOD (Level-Of-Detail) purpose,
* attributes can be computed on none-leaf nodes by computing the average
* values from its children (which can be leaves or not).
*
* By construction, an hyperoctree is efficient in memory usage when the
* geometry is sparse. The LOD feature allows to cull quickly part of the
* dataset.
*
* A couple of filters can be applied on this dataset: contour, outline,
* geometry.
*
* * 3D case (octree)
* for each node, each child index (from 0 to 7) is encoded in the following
* orientation. It is easy to access each child as a cell of a grid.
* Note also that the binary representation is relevant, each bit code a
* side: bit 0 encodes -x side (0) or +x side (1)
* bit 1 encodes -y side (0) or +y side (1)
* bit 2 encodes -z side (0) or +z side (2)
* - the -z side first
* - 0: -y -x sides
* - 1: -y +x sides
* - 2: +y -x sides
* - 3: +y +x sides
* \verbatim
* +y
* +-+-+ ^
* |2|3| |
* +-+-+ O +z +-> +x
* |0|1|
* +-+-+
* \endverbatim
*
* - then the +z side, in counter-clockwise
* - 4: -y -x sides
* - 5: -y +x sides
* - 6: +y -x sides
* - 7: +y +x sides
* \verbatim
* +y
* +-+-+ ^
* |6|7| |
* +-+-+ O +z +-> +x
* |4|5|
* +-+-+
* \endverbatim
*
* The cases with fewer dimensions are consistent with the octree case:
*
* * Quadtree:
* in counter-clockwise
* - 0: -y -x edges
* - 1: -y +x edges
* - 2: +y -x edges
* - 3: +y +x edges
* \verbatim
* +y
* +-+-+ ^
* |2|3| |
* +-+-+ O+-> +x
* |0|1|
* +-+-+
* \endverbatim
*
* * Binary tree:
* \verbatim
* +0+1+ O+-> +x
* \endverbatim
*
* @warning
* It is not a spatial search object! If you looking for this kind of
* octree see vtkCellLocator instead.
*
* @sa
* vtkHyperOctreeAlgorithm
*/
#ifndef vtkHyperOctree_h
#define vtkHyperOctree_h
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkDataSet.h"
class vtkHyperOctreeLightWeightCursor;
class vtkHyperOctreeCursor;
class vtkHyperOctreeInternal;
class vtkHyperOctreePointsGrabber;
class vtkHyperOctreeIdSet; // Pimpl idiom
class vtkPolygon;
class vtkIdTypeArray;
class vtkPoints;
class vtkPointLocator;
class vtkOrderedTriangulator;
class vtkDataSetAttributes;
class vtkLine;
class vtkPixel;
class vtkVoxel;
class vtkCellLinks;
class VTKCOMMONDATAMODEL_EXPORT vtkHyperOctree : public vtkDataSet
{
public:
static vtkInformationIntegerKey* LEVELS();
static vtkInformationIntegerKey* DIMENSION();
static vtkInformationDoubleVectorKey* SIZES();
static vtkHyperOctree *New();
vtkTypeMacro(vtkHyperOctree,vtkDataSet);
void PrintSelf(ostream& os, vtkIndent indent) VTK_OVERRIDE;
/**
* Return what type of dataset this is.
*/
int GetDataObjectType() VTK_OVERRIDE;
/**
* Copy the geometric and topological structure of an input rectilinear grid
* object.
*/
void CopyStructure(vtkDataSet *ds) VTK_OVERRIDE;
// Return the node describes by the path from the root.
// Path is a sequence of number between 0 and 7.
// \pre path_exists: path!=0
// \pre node_exists: IsANode(path)
// vtkOctree *GetNode(vtkPath *path);
/**
* Return the dimension of the tree (1D:binary tree(2 children), 2D:quadtree(4 children),
* 3D:octree (8 children))
* \post valid_result: result>=1 && result<=3
*/
int GetDimension();
/**
* Set the dimension of the tree with `dim'. See GetDimension() for details.
* \pre valid_dim: dim>=1 && dim<=3
* \post dimension_is_set: GetDimension()==dim
*/
void SetDimension(int dim);
// Return if the node for the given path exists or not.
// \pre path_exists: path!=0
// int IsANode(vtkPath *path);
// Return if the node for the given path is a leaf or not.
// \pre path_exists: path!=0
// \pre node_exists: IsANode(path)
// int IsALeaf(vtkPath *path);
// Measurement: topology
/**
* Return the number of cells in the dual grid.
* \post positive_result: result>=0
*/
vtkIdType GetNumberOfCells() VTK_OVERRIDE;
/**
* Get the number of leaves in the tree.
*/
vtkIdType GetNumberOfLeaves();
/**
* Return the number of points in the dual grid.
* \post positive_result: result>=0
*/
vtkIdType GetNumberOfPoints() VTK_OVERRIDE;
/**
* Return the number of points corresponding to an hyperoctree starting at
* level `level' where all the leaves at at the last level. In this case, the
* hyperoctree is like a uniform grid. So this number is the number of points
* of the uniform grid.
* \pre positive_level: level>=0 && level<this->GetNumberOfLevels()
* \post definition: result==(2^(GetNumberOfLevels()-level-1)+1)^GetDimension()
*/
vtkIdType GetMaxNumberOfPoints(int level);
/**
* Return the number of points corresponding to the boundary of an
* hyperoctree starting at level `level' where all the leaves at at the last
* level. In this case, the hyperoctree is like a uniform grid. So this
* number is the number of points of on the boundary of the uniform grid.
* For an octree, the boundary are the faces. For a quadtree, the boundary
* are the edges.
* \pre 2d_or_3d: this->GetDimension()==2 || this->GetDimension()==3
* \pre positive_level: level>=0 && level<this->GetNumberOfLevels()
* \post min_result: result>=GetMaxNumberOfPoints(this->GetNumberOfLevels()-1)
* \post max_result: result<=GetMaxNumberOfPoints(level)
*/
vtkIdType GetMaxNumberOfPointsOnBoundary(int level);
/**
* Return the number of cells corresponding to the boundary of a cell
* of level `level' where all the leaves at at the last level.
* \pre positive_level: level>=0 && level<this->GetNumberOfLevels()
* \post positive_result: result>=0
*/
vtkIdType GetMaxNumberOfCellsOnBoundary(int level);
/**
* Return the number of levels.
* \post result_greater_or_equal_to_one: result>=1
*/
vtkIdType GetNumberOfLevels();
// Measurement: geometry
//@{
/**
* Set the size on each axis.
*/
vtkSetVector3Macro(Size,double);
//@}
//@{
/**
* Return the size on each axis.
*/
vtkGetVector3Macro(Size,double);
//@}
//@{
/**
* Set the origin (position of corner (0,0,0) of the root.
*/
vtkSetVector3Macro(Origin,double);
// Return the origin (position of corner (0,0,0) ) of the root.
vtkGetVector3Macro(Origin,double);
//@}
/**
* Create a new cursor: an object that can traverse
* the cell of an hyperoctree.
* \post result_exists: result!=0
*/
vtkHyperOctreeCursor *NewCellCursor();
/**
* Subdivide node pointed by cursor, only if its a leaf.
* At the end, cursor points on the node that used to be leaf.
* \pre leaf_exists: leaf!=0
* \pre is_a_leaf: leaf->CurrentIsLeaf()
*/
void SubdivideLeaf(vtkHyperOctreeCursor *leaf);
/**
* Collapse a node for which all children are leaves.
* At the end, cursor points on the leaf that used to be a node.
* \pre node_exists: node!=0
* \pre node_is_node: !node->CurrentIsLeaf()
* \pre children_are_leaves: node->CurrentIsTerminalNode()
*/
void CollapseTerminalNode(vtkHyperOctreeCursor *node);
/**
* Get point coordinates with ptId such that: 0 <= ptId < NumberOfPoints.
* THIS METHOD IS NOT THREAD SAFE.
*/
double *GetPoint(vtkIdType ptId) VTK_OVERRIDE;
/**
* Copy point coordinates into user provided array x[3] for specified
* point id.
* THIS METHOD IS THREAD SAFE IF FIRST CALLED FROM A SINGLE THREAD AND
* THE DATASET IS NOT MODIFIED
*/
void GetPoint(vtkIdType id, double x[3]) VTK_OVERRIDE;
/**
* Get cell with cellId such that: 0 <= cellId < NumberOfCells.
* THIS METHOD IS NOT THREAD SAFE.
*/
vtkCell *GetCell(vtkIdType cellId) VTK_OVERRIDE;
/**
* Get cell with cellId such that: 0 <= cellId < NumberOfCells.
* This is a thread-safe alternative to the previous GetCell()
* method.
* THIS METHOD IS THREAD SAFE IF FIRST CALLED FROM A SINGLE THREAD AND
* THE DATASET IS NOT MODIFIED
*/
void GetCell(vtkIdType cellId, vtkGenericCell *cell) VTK_OVERRIDE;
/**
* Get type of cell with cellId such that: 0 <= cellId < NumberOfCells.
* THIS METHOD IS THREAD SAFE IF FIRST CALLED FROM A SINGLE THREAD AND
* THE DATASET IS NOT MODIFIED
*/
int GetCellType(vtkIdType cellId) VTK_OVERRIDE;
//@{
/**
* Topological inquiry to get points defining cell.
* THIS METHOD IS THREAD SAFE IF FIRST CALLED FROM A SINGLE THREAD AND
* THE DATASET IS NOT MODIFIED
*/
void GetCellPoints(vtkIdType cellId, vtkIdList *ptIds) VTK_OVERRIDE;
virtual void GetCellPoints(vtkIdType cellId, vtkIdType& npts,
vtkIdType* &pts);
//@}
/**
* Topological inquiry to get cells using point.
* THIS METHOD IS THREAD SAFE IF FIRST CALLED FROM A SINGLE THREAD AND
* THE DATASET IS NOT MODIFIED
*/
void GetPointCells(vtkIdType ptId, vtkIdList *cellIds) VTK_OVERRIDE;
/**
* Topological inquiry to get all cells using list of points exclusive of
* cell specified (e.g., cellId). Note that the list consists of only
* cells that use ALL the points provided.
* THIS METHOD IS THREAD SAFE IF FIRST CALLED FROM A SINGLE THREAD AND
* THE DATASET IS NOT MODIFIED
*/
void GetCellNeighbors(vtkIdType cellId, vtkIdList *ptIds,
vtkIdList *cellIds) VTK_OVERRIDE;
vtkIdType FindPoint(double x[3]) VTK_OVERRIDE;
/**
* Locate cell based on global coordinate x and tolerance
* squared. If cell and cellId is non-NULL, then search starts from
* this cell and looks at immediate neighbors. Returns cellId >= 0
* if inside, < 0 otherwise. The parametric coordinates are
* provided in pcoords[3]. The interpolation weights are returned in
* weights[]. (The number of weights is equal to the number of
* points in the found cell). Tolerance is used to control how close
* the point is to be considered "in" the cell.
* THIS METHOD IS NOT THREAD SAFE.
*/
vtkIdType FindCell(double x[3], vtkCell *cell, vtkIdType cellId,
double tol2, int& subId, double pcoords[3],
double *weights) VTK_OVERRIDE;
/**
* This is a version of the above method that can be used with
* multithreaded applications. A vtkGenericCell must be passed in
* to be used in internal calls that might be made to GetCell()
* THIS METHOD IS THREAD SAFE IF FIRST CALLED FROM A SINGLE THREAD AND
* THE DATASET IS NOT MODIFIED
*/
vtkIdType FindCell(double x[3], vtkCell *cell,
vtkGenericCell *gencell, vtkIdType cellId,
double tol2, int& subId, double pcoords[3],
double *weights) VTK_OVERRIDE;
/**
* Restore data object to initial state,
* THIS METHOD IS NOT THREAD SAFE.
*/
void Initialize() VTK_OVERRIDE;
/**
* Convenience method returns largest cell size in dataset. This is generally
* used to allocate memory for supporting data structures.
* This is the number of points of a cell.
* THIS METHOD IS THREAD SAFE
*/
int GetMaxCellSize() VTK_OVERRIDE;
//@{
/**
* Shallow and Deep copy.
*/
void ShallowCopy(vtkDataObject *src) VTK_OVERRIDE;
void DeepCopy(vtkDataObject *src) VTK_OVERRIDE;
//@}
/**
* Get the points of node `sibling' on its face `face'.
* \pre sibling_exists: sibling!=0
* \pre sibling_not_leaf: !sibling->CurrentIsLeaf()
* \pre sibling_3d: sibling->GetDimension()==3
* \pre valid_face: face>=0 && face<6
* \pre valid_level_not_leaf: level>=0 level<(this->GetNumberOfLevels()-1)
*/
void GetPointsOnFace(vtkHyperOctreeCursor *sibling,
int face,
int level,
vtkHyperOctreePointsGrabber *grabber);
/**
* Get the points of the parent node of `cursor' on its faces `faces' at
* level `level' or deeper.
* \pre cursor_exists: cursor!=0
* \pre cursor_3d: cursor->GetDimension()==3
* \pre valid_level: level>=0
* \pre boolean_faces: (faces[0]==0 || faces[0]==1) && (faces[1]==0 || faces[1]==1) && (faces[2]==0 || faces[2]==1)
*/
void GetPointsOnParentFaces(int faces[3],
int level,
vtkHyperOctreeCursor *cursor,
vtkHyperOctreePointsGrabber *grabber);
/**
* Get the points of node `sibling' on its edge `axis','k','j'.
* If axis==0, the edge is X-aligned and k gives the z coordinate and j the
* y-coordinate. If axis==1, the edge is Y-aligned and k gives the x coordinate
* and j the z coordinate. If axis==2, the edge is Z-aligned and k gives the
* y coordinate and j the x coordinate.
* \pre sibling_exists: sibling!=0
* \pre sibling_3d: sibling->GetDimension()==3
* \pre sibling_not_leaf: !sibling->CurrentIsLeaf()
* \pre valid_axis: axis>=0 && axis<3
* \pre valid_k: k>=0 && k<=1
* \pre valid_j: j>=0 && j<=1
* \pre valid_level_not_leaf: level>=0 level<(this->Input->GetNumberOfLevels()-1)
*/
void GetPointsOnEdge(vtkHyperOctreeCursor *sibling,
int level,
int axis,
int k,
int j,
vtkHyperOctreePointsGrabber *grabber);
/**
* Get the points of the parent node of `cursor' on its edge `axis','k','j'
* at level `level' or deeper.
* If axis==0, the edge is X-aligned and k gives the z coordinate and j the
* y-coordinate. If axis==1, the edge is Y-aligned and k gives the x
* coordinate and j the z coordinate. If axis==2, the edge is Z-aligned and
* k gives the y coordinate and j the x coordinate.
* \pre cursor_exists: cursor!=0
* \pre cursor_3d: cursor->GetDimension()==3
* \pre valid_level: level>=0
* \pre valid_range_axis: axis>=0 && axis<3
* \pre valid_range_k: k>=0 && k<=1
* \pre valid_range_j: j>=0 && j<=1
*/
void GetPointsOnParentEdge(vtkHyperOctreeCursor *cursor,
int level,
int axis,
int k,
int j,
vtkHyperOctreePointsGrabber *grabber);
/**
* Get the points of node `sibling' on its edge `edge'.
* \pre sibling_exists: sibling!=0
* \pre sibling_not_leaf: !sibling->CurrentIsLeaf()
* \pre sibling_2d: sibling->GetDimension()==2
* \pre valid_edge: edge>=0 && edge<4
* \pre valid_level_not_leaf: level>=0 level<(this->Input->GetNumberOfLevels()-1)
*/
void GetPointsOnEdge2D(vtkHyperOctreeCursor *sibling,
int edge,
int level,
vtkHyperOctreePointsGrabber *grabber);
/**
* Get the points of the parent node of `cursor' on its edge `edge' at
* level `level' or deeper. (edge=0 for -X, 1 for +X, 2 for -Y, 3 for +Y)
* \pre cursor_exists: cursor!=0
* \pre cursor_2d: cursor->GetDimension()==2
* \pre valid_level: level>=0
* \pre valid_edge: edge>=0 && edge<4
*/
void GetPointsOnParentEdge2D(vtkHyperOctreeCursor *cursor,
int edge,
int level,
vtkHyperOctreePointsGrabber *grabber);
/**
* A generic way to set the leaf data attributes.
* This can be either point data for dual or cell data for normal grid.
*/
vtkDataSetAttributes* GetLeafData();
//@{
/**
* Switch between returning leaves as cells, or the dual grid.
*/
void SetDualGridFlag(int flag);
vtkGetMacro(DualGridFlag,int);
//@}
/**
* Return the actual size of the data in kibibytes (1024 bytes). This number
* is valid only after the pipeline has updated. The memory size
* returned is guaranteed to be greater than or equal to the
* memory required to represent the data (e.g., extra space in
* arrays, etc. are not included in the return value). THIS METHOD
* IS THREAD SAFE.
*/
unsigned long GetActualMemorySize() VTK_OVERRIDE;
//@{
/**
* Retrieve an instance of this class from an information object.
*/
static vtkHyperOctree* GetData(vtkInformation* info);
static vtkHyperOctree* GetData(vtkInformationVector* v, int i=0);
//@}
protected:
// Constructor with default bounds (0,1, 0,1, 0,1).
vtkHyperOctree();
~vtkHyperOctree() VTK_OVERRIDE;
void ComputeBounds() VTK_OVERRIDE;
int Dimension; // 1, 2 or 3.
double Size[3]; // size on each axis
double Origin[3]; // position of corner (0,0,0) of the root.
vtkHyperOctreeInternal *CellTree;
vtkHyperOctreeCursor *TmpChild; // to avoid allocation in the loop
friend class vtkHyperOctreeLightWeightCursor;
// Initialize the arrays if necessary, then return it.
void UpdateDualArrays();
vtkPoints* GetLeafCenters();
vtkIdTypeArray* GetCornerLeafIds();
vtkPoints *LeafCenters;
vtkIdTypeArray *CornerLeafIds;
void UpdateGridArrays();
vtkPoints* GetCornerPoints();
vtkIdTypeArray* GetLeafCornerIds();
vtkPoints* CornerPoints;
vtkIdTypeArray* LeafCornerIds;
void DeleteInternalArrays();
void TraverseDualRecursively(vtkHyperOctreeLightWeightCursor* neighborhood,
unsigned short *xyzIds, int level);
void TraverseGridRecursively(vtkHyperOctreeLightWeightCursor* neighborhood,
unsigned char* visited,
double* origin, double* size);
void EvaluateDualCorner(vtkHyperOctreeLightWeightCursor* neighborhood);
vtkIdType EvaluateGridCorner(int level,vtkHyperOctreeLightWeightCursor* neighborhood,
unsigned char* visited, int* cornerNeighborIds);
// This is a table for traversing a neighborhood down an octree.
// 8 children x 27 cursors
// First three bits encode the child, rest encode the cursor id.
// 8xCursorId + childId.
// This will be shorter when we get rid of the 3x3x3 neighborhood.
// I was using unsigned char, but VS60 optimized build had a problem.
int NeighborhoodTraversalTable[216];
void GenerateGridNeighborhoodTraversalTable();
void GenerateDualNeighborhoodTraversalTable();
// for the GetCell method
vtkLine *Line;
vtkPixel *Pixel;
vtkVoxel *Voxel;
vtkCellLinks* Links;
void BuildLinks();
vtkIdType RecursiveFindPoint(double x[3],
vtkHyperOctreeLightWeightCursor* cursor,
double *origin, double *size);
// This toggles the data set API between the leaf cells and
// the dual grid (leaves are points, corners are cells).
int DualGridFlag;
private:
vtkHyperOctree(const vtkHyperOctree&) VTK_DELETE_FUNCTION;
void operator=(const vtkHyperOctree&) VTK_DELETE_FUNCTION;
};
class VTKCOMMONDATAMODEL_EXPORT vtkHyperOctreeLightWeightCursor
{
public:
vtkHyperOctreeLightWeightCursor();
void Initialize(vtkHyperOctree* tree);
void ToRoot();
void ToChild(int child);
unsigned short GetIsLeaf();
int GetLeafIndex() {return this->Index;} // Only valid for leaves.
vtkHyperOctree* GetTree() { return this->Tree; }
unsigned short GetLevel() {return this->Level;}
private:
vtkHyperOctree* Tree;
int Index;
unsigned short IsLeaf;
unsigned short Level;
};
#endif
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