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Program: Visualization Toolkit
Module: vtkQuadricClustering.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.
=========================================================================*/
// .NAME vtkQuadricClustering - reduce the number of triangles in a mesh
// .SECTION Description
// vtkQuadricClustering is a filter to reduce the number of triangles in a
// triangle mesh, forming a good approximation to the original geometry. The
// input to vtkQuadricClustering is a vtkPolyData object, and all types of
// polygonal data are handled.
//
// The algorithm used is the one described by Peter Lindstrom in his Siggraph
// 2000 paper, "Out-of-Core Simplification of Large Polygonal Models." The
// general approach of the algorithm is to cluster vertices in a uniform
// binning of space, accumulating the quadric of each triangle (pushed out to
// the triangles vertices) within each bin, and then determining an optimal
// position for a single vertex in a bin by using the accumulated quadric. In
// more detail, the algorithm first gets the bounds of the input poly data.
// It then breaks this bounding volume into a user-specified number of
// spatial bins. It then reads each triangle from the input and hashes its
// vertices into these bins. (If this is the first time a bin has been
// visited, initialize its quadric to the 0 matrix.) The algorithm computes
// the error quadric for this triangle and adds it to the existing quadric of
// the bin in which each vertex is contained. Then, if 2 or more vertices of
// the triangle fall in the same bin, the triangle is dicarded. If the
// triangle is not discarded, it adds the triangle to the list of output
// triangles as a list of vertex identifiers. (There is one vertex id per
// bin.) After all the triangles have been read, the representative vertex
// for each bin is computed (an optimal location is found) using the quadric
// for that bin. This determines the spatial location of the vertices of
// each of the triangles in the output.
//
// To use this filter, specify the divisions defining the spatial subdivision
// in the x, y, and z directions. You must also specify an input vtkPolyData.
// Then choose to either 1) use the original points that minimize the quadric
// error to produce the output triangles or 2) compute an optimal position in
// each bin to produce the output triangles (recommended and default behavior).
//
// This filter can take multiple inputs. To do this, the user must explicity
// call StartAppend, Append (once for each input), and EndAppend. StartAppend
// sets up the data structure to hold the quadric matrices. Append processes
// each triangle in the input poly data it was called on, hashes its vertices
// to the appropriate bins, determines whether to keep this triangle, and
// updates the appropriate quadric matrices. EndAppend determines the spatial
// location of each of the representative vertices for the visited bins. While
// this approach does not fit into the visualization architecture and requires
// manual control, it has the advantage that extremely large data can be
// processed in pieces and appended to the filter piece-by-piece.
// .SECTION Caveats
// This filter can drastically affect topology, i.e., topology is not
// preserved.
//
// The filter handles input triangle strips and arbitrary polygons. Arbitrary
// polygons are assumed convex: during insertion they are triangulated using
// a fan of triangles from the first point in the polygons. If the polygon is
// concave, this can produce bad results. In this case, use vtkTriangleFilter
// to triangulate the polygons first.
//
// The filter also treats polylines and vertices.
//
// Note that for certain types of geometry (e.g., a mostly 2D plane with
// jitter in the normal direction), the decimator can perform badly. In this
// sitation, set the number of bins in the normal direction to one.
// .SECTION See Also
// vtkQuadricDecimation vtkDecimatePro vtkDecimate vtkQuadricLODActor
#ifndef __vtkQuadricClustering_h
#define __vtkQuadricClustering_h
#include "vtkPolyDataAlgorithm.h"
class vtkCellArray;
class vtkFeatureEdges;
class vtkPoints;
class vtkQuadricClusteringCellSet;
class VTK_GRAPHICS_EXPORT vtkQuadricClustering : public vtkPolyDataAlgorithm
{
public:
// Description:
// Standard instantition, type and print methods.
vtkTypeMacro(vtkQuadricClustering, vtkPolyDataAlgorithm);
void PrintSelf(ostream& os, vtkIndent indent);
static vtkQuadricClustering *New();
// Description:
// Set/Get the number of divisions along each axis for the spatial bins.
// The number of spatial bins is NumberOfXDivisions*NumberOfYDivisions*
// NumberOfZDivisions. The filter may choose to ignore large numbers of
// divisions if the input has few points and AutoAdjustNumberOfDivisions
// is enabled.
void SetNumberOfXDivisions(int num);
void SetNumberOfYDivisions(int num);
void SetNumberOfZDivisions(int num);
vtkGetMacro(NumberOfXDivisions, int);
vtkGetMacro(NumberOfYDivisions, int);
vtkGetMacro(NumberOfZDivisions, int);
void SetNumberOfDivisions(int div[3])
{ this->SetNumberOfDivisions(div[0], div[1], div[2]); }
void SetNumberOfDivisions(int div0, int div1, int div2);
int *GetNumberOfDivisions();
void GetNumberOfDivisions(int div[3]);
// Description:
// Enable automatic adjustment of number of divisions. If off, the number
// of divisions specified by the user is always used (as long as it is valid).
// The default is On
vtkSetMacro(AutoAdjustNumberOfDivisions,int);
vtkGetMacro(AutoAdjustNumberOfDivisions,int);
vtkBooleanMacro(AutoAdjustNumberOfDivisions,int);
// Description:
// This is an alternative way to set up the bins. If you are trying to match
// boundaries between pieces, then you should use these methods rather than
// SetNumberOfDivisions. To use these methods, specify the origin and spacing
// of the spatial binning.
void SetDivisionOrigin(double x, double y, double z);
void SetDivisionOrigin(double o[3])
{this->SetDivisionOrigin(o[0],o[1],o[2]);}
vtkGetVector3Macro(DivisionOrigin, double);
void SetDivisionSpacing(double x, double y, double z);
void SetDivisionSpacing(double s[3])
{this->SetDivisionSpacing(s[0],s[1],s[2]);}
vtkGetVector3Macro(DivisionSpacing, double);
// Description:
// Normally the point that minimizes the quadric error function is used as
// the output of the bin. When this flag is on, the bin point is forced to
// be one of the points from the input (the one with the smallest
// error). This option does not work (i.e., input points cannot be used)
// when the append methods (StartAppend(), Append(), EndAppend()) are being
// called directly.
vtkSetMacro(UseInputPoints, int);
vtkGetMacro(UseInputPoints, int);
vtkBooleanMacro(UseInputPoints, int);
// Description:
// By default, this flag is off. When "UseFeatureEdges" is on, then
// quadrics are computed for boundary edges/feature edges. They influence
// the quadrics (position of points), but not the mesh. Which features to
// use can be controlled by the filter "FeatureEdges".
vtkSetMacro(UseFeatureEdges, int);
vtkGetMacro(UseFeatureEdges, int);
vtkBooleanMacro(UseFeatureEdges, int);
vtkFeatureEdges *GetFeatureEdges() {return this->FeatureEdges;}
// Description:
// By default, this flag is off. It only has an effect when
// "UseFeatureEdges" is also on. When "UseFeaturePoints" is on, then
// quadrics are computed for boundary / feature points used in the boundary
// / feature edges. They influence the quadrics (position of points), but
// not the mesh.
vtkSetMacro(UseFeaturePoints, int);
vtkGetMacro(UseFeaturePoints, int);
vtkBooleanMacro(UseFeaturePoints, int);
// Description:
// Set/Get the angle to use in determining whether a point on a boundary /
// feature edge is a feature point.
vtkSetClampMacro(FeaturePointsAngle, double, 0.0, 180.0);
vtkGetMacro(FeaturePointsAngle, double);
// Description:
// When this flag is on (and it is on by default), then triangles that are
// completely contained in a bin are added to the bin quadrics. When the
// the flag is off the filter operates faster, but the surface may not be
// as well behaved.
vtkSetMacro(UseInternalTriangles, int);
vtkGetMacro(UseInternalTriangles, int);
vtkBooleanMacro(UseInternalTriangles, int);
// Description:
// These methods provide an alternative way of executing the filter.
// PolyData can be added to the result in pieces (append).
// In this mode, the user must specify the bounds of the entire model
// as an argument to the "StartAppend" method.
void StartAppend(double *bounds);
void StartAppend(double x0,double x1,double y0,double y1,double z0,double z1)
{double b[6]; b[0]=x0; b[1]=x1; b[2]=y0; b[3]=y1; b[4]=z0; b[5]=z1;
this->StartAppend(b);}
void Append(vtkPolyData *piece);
void EndAppend();
// Description:
// This flag makes the filter copy cell data from input to output
// (the best it can). It uses input cells that trigger the addition
// of output cells (no averaging). This is off by default, and does
// not work when append is being called explicitly (non-pipeline usage).
vtkSetMacro(CopyCellData, int);
vtkGetMacro(CopyCellData, int);
vtkBooleanMacro(CopyCellData, int);
// Description:
// Specify a boolean indicating whether to remove duplicate cells
// (i.e. triangles). This is a little slower, and takes more memory, but
// in some cases can reduce the number of cells produced by an order of
// magnitude. By default, this flag is true.
vtkSetMacro(PreventDuplicateCells,int);
vtkGetMacro(PreventDuplicateCells,int);
vtkBooleanMacro(PreventDuplicateCells,int);
protected:
vtkQuadricClustering();
~vtkQuadricClustering();
int RequestData(vtkInformation *, vtkInformationVector **, vtkInformationVector *);
int FillInputPortInformation(int, vtkInformation *);
// Description:
// Given a point, determine what bin it falls into.
vtkIdType HashPoint(double point[3]);
// Description:
// Determine the representative point for this bin.
void ComputeRepresentativePoint(double quadric[9], vtkIdType binId,
double point[3]);
// Description:
// Add triangles to the quadric array. If geometry flag is on then
// triangles are added to the output.
void AddPolygons(vtkCellArray *polys, vtkPoints *points, int geometryFlag,
vtkPolyData *input, vtkPolyData *output);
void AddStrips(vtkCellArray *strips, vtkPoints *points, int geometryFlag,
vtkPolyData *input, vtkPolyData *output);
void AddTriangle(vtkIdType *binIds, double *pt0, double *pt1, double *pt2,
int geometeryFlag, vtkPolyData *input, vtkPolyData *output);
// Description:
// Add edges to the quadric array. If geometry flag is on then
// edges are added to the output.
void AddEdges(vtkCellArray *edges, vtkPoints *points,
int geometryFlag,
vtkPolyData *input, vtkPolyData *output);
void AddEdge(vtkIdType *binIds, double *pt0, double *pt1, int geometeryFlag,
vtkPolyData *input, vtkPolyData *output);
// Description:
// Add vertices to the quadric array. If geometry flag is on then
// vertices are added to the output.
void AddVertices(vtkCellArray *verts, vtkPoints *points, int geometryFlag,
vtkPolyData *input, vtkPolyData *output);
void AddVertex(vtkIdType binId, double *pt, int geometryFlag,
vtkPolyData *input, vtkPolyData *output);
// Description:
// Initialize the quadric matrix to 0's.
void InitializeQuadric(double quadric[9]);
// Description:
// Add this quadric to the quadric already associated with this bin.
void AddQuadric(vtkIdType binId, double quadric[9]);
// Description:
// Find the feature points of a given set of edges.
// The points returned are (1) those used by only one edge, (2) those
// used by > 2 edges, and (3) those where the angle between 2 edges
// using this point is < angle.
void FindFeaturePoints(vtkCellArray *edges, vtkPoints *edgePts, double angle);
// Description:
// This method will rep[lace the quadric generated points with the
// input points with the lowest error.
void EndAppendUsingPoints(vtkPolyData *input, vtkPolyData *output);
int UseInputPoints;
// Description:
// This method sets the vertices of the output.
// It duplicates the structure of the input cells (but decimiated).
void EndAppendVertexGeometry(vtkPolyData *input, vtkPolyData *output);
// Unfinished option to handle boundary edges differently.
void AppendFeatureQuadrics(vtkPolyData *pd, vtkPolyData *output);
int UseFeatureEdges;
int UseFeaturePoints;
int UseInternalTriangles;
int NumberOfXDivisions;
int NumberOfYDivisions;
int NumberOfZDivisions;
// Set this to eliminate duplicate cells
int PreventDuplicateCells;
vtkQuadricClusteringCellSet *CellSet; //PIMPLd stl set for tracking inserted cells
vtkIdType NumberOfBins;
// Used internally.
// can be smaller than user values when input numb er of points is small.
int NumberOfDivisions[3];
// Since there are two was of specifing the grid, we have this flag
// to indicate which the user has set. When this flag is on,
// the bin sizes are computed from the DivisionOrigin and DivisionSpacing.
int ComputeNumberOfDivisions;
double DivisionOrigin[3];
double DivisionSpacing[3];
int AutoAdjustNumberOfDivisions;
double Bounds[6];
double XBinSize;
double YBinSize;
double ZBinSize;
double XBinStep; //replace some divisions with multiplication
double YBinStep;
double ZBinStep;
vtkIdType SliceSize; //eliminate one multiplication
//BTX
struct PointQuadric
{
PointQuadric():VertexId(-1),Dimension(255) {}
vtkIdType VertexId;
// Dimension is supposed to be a flag representing the dimension of the
// cells contributing to the quadric. Lines: 1, Triangles: 2 (and points
// 0 in the future?)
unsigned char Dimension;
double Quadric[9];
};
//ETX
PointQuadric* QuadricArray;
vtkIdType NumberOfBinsUsed;
// Have to make these instance variables if we are going to allow
// the algorithm to be driven by the Append methods.
vtkCellArray *OutputTriangleArray;
vtkCellArray *OutputLines;
vtkFeatureEdges *FeatureEdges;
vtkPoints *FeaturePoints;
double FeaturePointsAngle;
int CopyCellData;
int InCellCount;
int OutCellCount;
private:
vtkQuadricClustering(const vtkQuadricClustering&); // Not implemented.
void operator=(const vtkQuadricClustering&); // Not implemented.
};
#endif
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