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/*=========================================================================
Program: Visualization Toolkit
Module: vtkIncrementalOctreeNode.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 vtkIncrementalOctreeNode
* @brief Octree node constituting incremental
* octree (in support of both point location and point insertion)
*
*
* Octree nodes serve as spatial sub-division primitives to build the search
* structure of an incremental octree in a recursive top-down manner. The
* hierarchy takes the form of a tree-like representation by which a parent
* node contains eight mutually non-overlapping child nodes. Each child is
* assigned with an axis-aligned rectangular volume (Spatial Bounding Box)
* and the eight children together cover exactly the same region as governed
* by their parent. The eight child nodes / octants are ordered as
*
* { (xBBoxMin, xBBoxMid] & (yBBoxMin, yBBoxMid] & (zBBoxMin, zBBoxMid] },
* { (xBBoxMid, xBBoxMax] & (yBBoxMin, yBBoxMid] & (zBBoxMin, zBBoxMid] },
* { (xBBoxMin, xBBoxMid] & (yBBoxMid, yBBoxMax] & (zBBoxMin, zBBoxMid] },
* { (xBBoxMid, xBBoxMax] & (yBBoxMid, yBBoxMax] & (zBBoxMin, zBBoxMid] },
* { (xBBoxMin, xBBoxMid] & (yBBoxMin, yBBoxMid] & (zBBoxMid, zBBoxMax] },
* { (xBBoxMid, xBBoxMax] & (yBBoxMin, yBBoxMid] & (zBBoxMid, zBBoxMax] },
* { (xBBoxMin, xBBoxMid] & (yBBoxMid, yBBoxMax] & (zBBoxMid, zBBoxMax] },
* { (xBBoxMid, xBBoxMax] & (yBBoxMid, yBBoxMax] & (zBBoxMid, zBBoxMax] },
*
* where { xrange & yRange & zRange } defines the region of each 3D octant.
* In addition, the points falling within and registered, by means of point
* indices, in the parent node are distributed to the child nodes for delegated
* maintenance. In fact, only leaf nodes, i.e., those without any descendants,
* actually store point indices while each node, regardless of a leaf or non-
* leaf node, keeps a dynamically updated Data Bounding Box of the inhabitant
* points, if any. Given a maximum number of points per leaf node, an octree
* is initialized with an empty leaf node that is then recursively sub-divided,
* but only on demand as points are incrementally inserted, to construct a
* populated tree.
*
* Please note that this octree node class is able to handle a large number
* of EXACTLY duplicate points that is greater than the specified maximum
* number of points per leaf node. In other words, as an exception, a leaf
* node may maintain an arbitrary number of exactly duplicate points to deal
* with possible extreme cases.
*
* @sa
* vtkIncrementalOctreePointLocator
*/
#ifndef vtkIncrementalOctreeNode_h
#define vtkIncrementalOctreeNode_h
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkObject.h"
class vtkPoints;
class vtkIdList;
class VTKCOMMONDATAMODEL_EXPORT vtkIncrementalOctreeNode : public vtkObject
{
public:
vtkTypeMacro(vtkIncrementalOctreeNode, vtkObject);
void PrintSelf(ostream& os, vtkIndent indent) override;
static vtkIncrementalOctreeNode* New();
//@{
/**
* Get the number of points inside or under this node.
*/
vtkGetMacro(NumberOfPoints, int);
//@}
//@{
/**
* Get the list of point indices, nullptr for a non-leaf node.
*/
vtkGetObjectMacro(PointIdSet, vtkIdList);
//@}
/**
* Delete the eight child nodes.
*/
void DeleteChildNodes();
/**
* Set the spatial bounding box of the node. This function sets a default
* data bounding box.
*/
void SetBounds(double x1, double x2, double y1, double y2, double z1, double z2);
/**
* Get the spatial bounding box of the node. The values are returned via
* an array in order of: x_min, x_max, y_min, y_max, z_min, z_max.
*/
void GetBounds(double bounds[6]) const;
//@{
/**
* Get access to MinBounds. Do not free this pointer.
*/
vtkGetVector3Macro(MinBounds, double);
//@}
//@{
/**
* Get access to MaxBounds. Do not free this pointer.
*/
vtkGetVector3Macro(MaxBounds, double);
//@}
/**
* Get access to MinDataBounds. Note that MinDataBounds is not valid until
* point insertion.
*/
double* GetMinDataBounds()
{
return this->NumberOfPoints ? this->MinDataBounds : this->MinBounds;
}
/**
* Get access to MaxDataBounds. Note that MaxDataBounds is not valid until
* point insertion.
*/
double* GetMaxDataBounds()
{
return this->NumberOfPoints ? this->MaxDataBounds : this->MaxBounds;
}
/**
* Determine whether or not this node is a leaf.
*/
int IsLeaf() { return (this->Children == nullptr) ? 1 : 0; }
/**
* Determine which specific child / octant contains a given point. Note that
* the point is assumed to be inside this node and no checking is performed
* on the inside issue.
*/
int GetChildIndex(const double point[3]);
/**
* Get quick access to a child of this node. Note that this node is assumed
* to be a non-leaf one and no checking is performed on the node type.
*/
vtkIncrementalOctreeNode* GetChild(int i) { return this->Children[i]; }
/**
* A point is in a node if and only if MinBounds[i] < p[i] <= MaxBounds[i],
* which allows a node to be divided into eight non-overlapping children.
*/
vtkTypeBool ContainsPoint(const double pnt[3]);
/**
* A point is in a node, in terms of data, if and only if MinDataBounds[i]
* <= p[i] <= MaxDataBounds[i].
*/
vtkTypeBool ContainsPointByData(const double pnt[3]);
/**
* This function is called after a successful point-insertion check and
* only applies to a leaf node. Prior to a call to this function, the
* octree should have been retrieved top-down to find the specific leaf
* node in which this new point (newPt) will be inserted. The actual index
* of the new point (to be inserted to points) is stored in pntId. Argument
* ptMode specifies whether the point is not inserted at all but instead only
* the point index is provided upon 0, the point is inserted via vtkPoints::
* InsertPoint() upon 1, or it is inserted via vtkPoints::InsertNextPoint()
* upon 2. For case 0, pntId needs to be specified. For cases 1 and 2, the
* actual point index is returned via pntId. Note that this function always
* returns 1 to indicate the success of point insertion.
*/
int InsertPoint(
vtkPoints* points, const double newPnt[3], int maxPts, vtkIdType* pntId, int ptMode);
/**
* Given a point inside this node, get the minimum squared distance to all
* inner boundaries. An inner boundary is a node's face that is shared by
* another non-root node.
*/
double GetDistance2ToInnerBoundary(const double point[3], vtkIncrementalOctreeNode* rootNode);
/**
* Compute the minimum squared distance from a point to this node, with all
* six boundaries considered. The data bounding box is checked if checkData
* is non-zero.
*/
double GetDistance2ToBoundary(
const double point[3], vtkIncrementalOctreeNode* rootNode, int checkData);
/**
* Compute the minimum squared distance from a point to this node, with all
* six boundaries considered. The data bounding box is checked if checkData
* is non-zero. The closest on-boundary point is returned via closest.
*/
double GetDistance2ToBoundary(
const double point[3], double closest[3], vtkIncrementalOctreeNode* rootNode, int checkData);
/**
* Export all the indices of the points (contained in or under this node) by
* inserting them to an allocated vtkIdList via vtkIdList::InsertNextId().
*/
void ExportAllPointIdsByInsertion(vtkIdList* idList);
/**
* Export all the indices of the points (contained in or under this node) by
* directly setting them in an allocated vtkIdList object. pntIdx indicates
* the starting location (in terms of vtkIdList) from which new point indices
* are added to vtkIdList by vtkIdList::SetId().
*/
void ExportAllPointIdsByDirectSet(vtkIdType* pntIdx, vtkIdList* idList);
protected:
vtkIncrementalOctreeNode();
~vtkIncrementalOctreeNode() override;
private:
/**
* Number of points inside or under this node.
*/
int NumberOfPoints;
/**
* The minimum coordinate of this node's spatial bounding box.
*/
double MinBounds[3];
/**
* The maximum coordinate of this node's spatial bounding box.
*/
double MaxBounds[3];
/**
* The minimum coordinate of the data bounding box that encompasses the
* points inserted, by means of the point index, to this node. Note this
* information is invalid if no any point has been inserted to this node.
*/
double MinDataBounds[3];
/**
* The maximum coordinate of the data bounding box that encompasses the
* points inserted, by means of the point index, to this node. Note this
* information is invalid if no any point has been inserted to this node.
*/
double MaxDataBounds[3];
/**
* The list of indices of the points maintained by this LEAF node. It is
* nullptr if this is a non-leaf node.
*/
vtkIdList* PointIdSet;
/**
* The parent of this node, nullptr for the root node of an octree.
*/
vtkIncrementalOctreeNode* Parent;
/**
* A pointer to the eight children of this node.
*/
vtkIncrementalOctreeNode** Children;
/**
* Set the parent of this node, nullptr for the root node of an octree.
*/
virtual void SetParent(vtkIncrementalOctreeNode*);
/**
* Set the list of point indices, nullptr for a non-leaf node.
*/
virtual void SetPointIdSet(vtkIdList*);
/**
* Divide this LEAF node into eight child nodes as the number of points
* maintained by this leaf node has reached the threshold maxPts while
* another point newPnt is just going to be inserted to it. The available
* point-indices pntIds are distributed to the child nodes based on the
* point coordinates (available through points). Note that this function
* can incur recursive node-division to determine the specific leaf node
* for accepting the new point (with pntIdx storing the index in points)
* because the existing maxPts points may fall within only one of the eight
* child nodes to make a radically imbalanced layout within the node (to
* be divided). Argument ptMode specifies whether the point is not inserted
* at all but instead only the point index is provided upon 0, the point is
* inserted via vtkPoints::InsertPoint() upon 1, or the point is inserted by
* vtkPoints::InsertNextPoint() upon 2. The returned value of this function
* indicates whether pntIds needs to be destroyed (1) or just unregistered
* from this node as it has been attached to another node (0).
*/
int CreateChildNodes(vtkPoints* points, vtkIdList* pntIds, const double newPnt[3],
vtkIdType* pntIdx, int maxPts, int ptMode);
/**
* Create a vtkIdList object for storing point indices. Two arguments
* specifies the initial and growing sizes, respectively, of the object.
*/
void CreatePointIdSet(int initSize, int growSize);
/**
* Delete the list of point indices.
*/
void DeletePointIdSet();
/**
* Given a point inserted to either this node (a leaf node) or a descendant
* leaf (of this node --- when this node is a non-leaf node), update the
* counter and the data bounding box for this node only.
*/
void UpdateCounterAndDataBounds(const double point[3]);
/**
* Given a point inserted to either this node (a leaf node) or a descendant
* leaf (of this node --- when this node is a non-leaf node), update the
* counter and the data bounding box for this node only. The data bounding box
* is considered only if updateData is non-zero. The returned value indicates
* whether (1) or not (0) the data bounding box is actually updated. Note that
* argument nHits must be 1 unless this node is updated with a number (nHits)
* of exactly duplicate points as a whole via a single call to this function.
*/
int UpdateCounterAndDataBounds(const double point[3], int nHits, int updateData);
/**
* Given a point inserted to either this node (a leaf node) or a descendant
* leaf (of this node --- when this node is a non-leaf node), update the
* counter and the data bounding box recursively bottom-up until a specified
* node. The data bounding box is considered only if updateData is non-zero.
* The returned value indicates whether (1) or not (0) the data bounding box
* is actually updated. Note that argument nHits must be 1 unless this node
* is updated with a number (nHits) of exactly duplicate points as a whole
* via a single call to this function.
*/
int UpdateCounterAndDataBoundsRecursively(
const double point[3], int nHits, int updateData, vtkIncrementalOctreeNode* endNode);
/**
* Given a point, determine whether (1) or not (0) it is an exact duplicate
* of all the points, if any, maintained in this node. In other words, to
* check if this given point and all existing points, if any, of this node
* are exactly duplicate with one another.
*/
int ContainsDuplicatePointsOnly(const double pnt[3]);
/**
* Given a number (>= threshold) of all exactly duplicate points (accessible
* via points and pntIds, but with exactly the same 3D coordinate) maintained
* in this leaf node and a point (absolutely not a duplicate any more, with
* pntIdx storing the index in points)) to be inserted to this node, separate
* all the duplicate points from this new point by means of usually recursive
* node sub-division such that the former points are inserted to a descendant
* leaf while the new point is inserted to a sibling of this descendant leaf.
* Argument ptMode specifies whether the point is not inserted at all but only
* the point index is provided upon 0, the point is inserted via vtkPoints::
* InsertPoint() upon 1, or this point is instead inserted through vtkPoints::
* InsertNextPoint() upon 2.
*/
void SeperateExactlyDuplicatePointsFromNewInsertion(vtkPoints* points, vtkIdList* pntIds,
const double newPnt[3], vtkIdType* pntIdx, int maxPts, int ptMode);
/**
* Given a point, obtain the minimum squared distance to the closest point
* on a boundary of this node. As two options, the outer boundaries may be
* excluded (by comparing them against those of the root node) from
* consideration and the data bounding box may be checked in place of the
* spatial bounding box.
*/
double GetDistance2ToBoundary(const double point[3], double closest[3], int innerOnly,
vtkIncrementalOctreeNode* rootNode, int checkData = 0);
vtkIncrementalOctreeNode(const vtkIncrementalOctreeNode&) = delete;
void operator=(const vtkIncrementalOctreeNode&) = delete;
};
// In-lined for performance
inline int vtkIncrementalOctreeNode::GetChildIndex(const double point[3])
{
// Children[0]->MaxBounds[] is exactly the center point of this node.
return int(point[0] > this->Children[0]->MaxBounds[0]) +
((int(point[1] > this->Children[0]->MaxBounds[1])) << 1) +
((int(point[2] > this->Children[0]->MaxBounds[2])) << 2);
}
// In-lined for performance
inline vtkTypeBool vtkIncrementalOctreeNode::ContainsPoint(const double pnt[3])
{
return (
(this->MinBounds[0] < pnt[0] && pnt[0] <= this->MaxBounds[0] && this->MinBounds[1] < pnt[1] &&
pnt[1] <= this->MaxBounds[1] && this->MinBounds[2] < pnt[2] && pnt[2] <= this->MaxBounds[2])
? 1
: 0);
}
// In-lined for performance
inline vtkTypeBool vtkIncrementalOctreeNode::ContainsPointByData(const double pnt[3])
{
return ((this->MinDataBounds[0] <= pnt[0] && pnt[0] <= this->MaxDataBounds[0] &&
this->MinDataBounds[1] <= pnt[1] && pnt[1] <= this->MaxDataBounds[1] &&
this->MinDataBounds[2] <= pnt[2] && pnt[2] <= this->MaxDataBounds[2])
? 1
: 0);
}
// In-lined for performance
inline int vtkIncrementalOctreeNode::ContainsDuplicatePointsOnly(const double pnt[3])
{
return ((this->MinDataBounds[0] == pnt[0] && pnt[0] == this->MaxDataBounds[0] &&
this->MinDataBounds[1] == pnt[1] && pnt[1] == this->MaxDataBounds[1] &&
this->MinDataBounds[2] == pnt[2] && pnt[2] == this->MaxDataBounds[2])
? 1
: 0);
}
// In-lined for performance
inline void vtkIncrementalOctreeNode::UpdateCounterAndDataBounds(const double point[3])
{
this->NumberOfPoints++;
this->MinDataBounds[0] = (point[0] < this->MinDataBounds[0]) ? point[0] : this->MinDataBounds[0];
this->MinDataBounds[1] = (point[1] < this->MinDataBounds[1]) ? point[1] : this->MinDataBounds[1];
this->MinDataBounds[2] = (point[2] < this->MinDataBounds[2]) ? point[2] : this->MinDataBounds[2];
this->MaxDataBounds[0] = (point[0] > this->MaxDataBounds[0]) ? point[0] : this->MaxDataBounds[0];
this->MaxDataBounds[1] = (point[1] > this->MaxDataBounds[1]) ? point[1] : this->MaxDataBounds[1];
this->MaxDataBounds[2] = (point[2] > this->MaxDataBounds[2]) ? point[2] : this->MaxDataBounds[2];
}
// In-lined for performance
inline int vtkIncrementalOctreeNode::UpdateCounterAndDataBoundsRecursively(
const double point[3], int nHits, int updateData, vtkIncrementalOctreeNode* endNode)
{
int updated = this->UpdateCounterAndDataBounds(point, nHits, updateData);
return ((this->Parent == endNode)
? updated
: this->Parent->UpdateCounterAndDataBoundsRecursively(point, nHits, updated, endNode));
}
#endif