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vtkWindowedSincPolyDataFilter Class Reference

adjust point positions using a windowed sinc function interpolation kernel. More...

#include <vtkWindowedSincPolyDataFilter.h>

Inheritance diagram for vtkWindowedSincPolyDataFilter:

Inheritance graph
Collaboration diagram for vtkWindowedSincPolyDataFilter:

Collaboration graph
List of all members.

Public Methods

virtual const char * GetClassName ()
virtual int IsA (const char *type)
void PrintSelf (ostream &os, vtkIndent indent)
virtual void SetNumberOfIterations (int)
virtual int GetNumberOfIterations ()
virtual void SetPassBand (float)
virtual float GetPassBand ()
virtual void SetFeatureEdgeSmoothing (int)
virtual int GetFeatureEdgeSmoothing ()
virtual void FeatureEdgeSmoothingOn ()
virtual void FeatureEdgeSmoothingOff ()
virtual void SetFeatureAngle (float)
virtual float GetFeatureAngle ()
virtual void SetEdgeAngle (float)
virtual float GetEdgeAngle ()
virtual void SetBoundarySmoothing (int)
virtual int GetBoundarySmoothing ()
virtual void BoundarySmoothingOn ()
virtual void BoundarySmoothingOff ()
virtual void SetGenerateErrorScalars (int)
virtual int GetGenerateErrorScalars ()
virtual void GenerateErrorScalarsOn ()
virtual void GenerateErrorScalarsOff ()
virtual void SetGenerateErrorVectors (int)
virtual int GetGenerateErrorVectors ()
virtual void GenerateErrorVectorsOn ()
virtual void GenerateErrorVectorsOff ()

Static Public Methods

int IsTypeOf (const char *type)
vtkWindowedSincPolyDataFilter * SafeDownCast (vtkObject *o)
vtkWindowedSincPolyDataFilter * New ()

Protected Methods

 vtkWindowedSincPolyDataFilter ()
 ~vtkWindowedSincPolyDataFilter ()
 vtkWindowedSincPolyDataFilter (const vtkWindowedSincPolyDataFilter &)
void operator= (const vtkWindowedSincPolyDataFilter &)
void Execute ()

Protected Attributes

int NumberOfIterations
float PassBand
int FeatureEdgeSmoothing
float FeatureAngle
float EdgeAngle
int BoundarySmoothing
int GenerateErrorScalars
int GenerateErrorVectors

Detailed Description

adjust point positions using a windowed sinc function interpolation kernel.

2000/12/10 20:09:01

vtkWindowedSincPolyDataFiler adjust point coordinate using a windowed sinc function interpolation kernel. The effect is to "relax" the mesh, making the cells better shaped and the vertices more evenly distributed. Note that this filter operates the lines, polygons, and triangle strips composing an instance of vtkPolyData. Vertex or poly-vertex cells are never modified.

The algorithm proceeds as follows. For each vertex v, a topological and geometric analysis is performed to determine which vertices are connected to v, and which cells are connected to v. Then, a connectivity array is constructed for each vertex. (The connectivity array is a list of lists of vertices that directly attach to each vertex.) Next, an iteration phase begins over all vertices. For each vertex v, the coordinates of v are modified using a windowed sinc function interpolation kernel. Taubin describes this methodology is the IBM tech report RC-20404 (#90237, dated 3/12/96) "Optimal Surface Smoothing as Filter Design" G. Taubin, T. Zhang and G. Golub. (Zhang and Golub are at Stanford University).

This report discusses using standard signal processing low-pass filters (in particular windowed sinc functions) to smooth polyhedra. The transfer functions of the low-pass filters are approximated by Chebyshev polynomials. This facilitates applying the filters in an iterative diffusion process (as opposed to a kernel convolution). The more smoothing iterations applied, the higher the degree of polynomial approximating the low-pass filter transfer function. Each smoothing iteration, therefore, applies the next higher term of the Chebyshev filter approximation to the polyhedron. This decoupling of the filter into an iteratively applied polynomial is possible since the Chebyshev polynomials are orthogonal, i.e. increasing the order of the approximation to the filter transfer function does not alter the previously calculated coefficients for the low order terms.

Note: Care must be taken to avoid smoothing with too few iterations. A Chebyshev approximation with too few terms is an poor approximation. The first few smoothing iterations represent a severe scaling and translation of the data. Subsequent iterations cause the smoothed polyhedron to converge to the true location and scale of the object. We have attempted to protect against this by automatically adjusting the filter, effectively widening the pass band. This adjustment is only possible if the number of iterations is greater than 1. Note that this sacrifices some degree of smoothing for model integrity. For those interested, the filter is adjusted by searching for a value sigma such that the actual pass band is k_pb + sigma and such that the filter transfer function evaluates to unity at k_pb, i.e. f(k_pb) = 1

This implementation is currently limited to using an interpolation kernel based on Hamming windows. Other windows (such as Hann, Blackman, Kaiser, Lanczos, Gaussian, and exponential windows) could be used instead.

There are some special instance variables used to control the execution of this filter. (These ivars basically control what vertices can be smoothed, and the creation of the connectivity array.) The BoundarySmoothing ivar enables/disables the smoothing operation on vertices that are on the "boundary" of the mesh. A boundary vertex is one that is surrounded by a semi-cycle of polygons (or used by a single line).

Another important ivar is FeatureEdgeSmoothing. If this ivar is enabled, then interior vertices are classified as either "simple", "interior edge", or "fixed", and smoothed differently. (Interior vertices are manifold vertices surrounded by a cycle of polygons; or used by two line cells.) The classification is based on the number of feature edges attached to v. A feature edge occurs when the angle between the two surface normals of a polygon sharing an edge is greater than the FeatureAngle ivar. Then, vertices used by no feature edges are classified "simple", vertices used by exactly two feature edges are classified "interior edge", and all others are "fixed" vertices.

Once the classification is known, the vertices are smoothed differently. Corner (i.e., fixed) vertices are not smoothed at all. Simple vertices are smoothed as before . Interior edge vertices are smoothed only along their two connected edges, and only if the angle between the edges is less than the EdgeAngle ivar.

The total smoothing can be controlled by using two ivars. The NumberOfIterations determines the maximum number of smoothing passes. The NumberOfIterations corresponds to the degree of the polynomial that is used to approximate the windowed sinc function. Ten or twenty iterations is all the is usually necessary. Contrast this with vtkSmoothPolyDataFilter which usually requires 100 to 200 smoothing iterations. vtkSmoothPolyDataFilter is also not an approximation to an ideal low-pass filter, which can cause the geometry to shrink as the amount of smoothing increases.

The second ivar is the specification of the PassBand for the windowed sinc filter. By design, the PassBand is specified as a floating point number between 0 and 2. Lower PassBand values produce more smoothing. A good default value for the PassBand is 0.1 (for those interested, the PassBand (and frequencies) for PolyData are based on the valence of the vertices, this limits all the frequency modes in a polyhedral mesh to between 0 and 2.)

There are two instance variables that control the generation of error data. If the ivar GenerateErrorScalars is on, then a scalar value indicating the distance of each vertex from its original position is computed. If the ivar GenerateErrorVectors is on, then a vector representing change in position is computed.

The smoothing operation reduces high frequency information in the geometry of the mesh. With excessive smoothing important details may be lost. Enabling FeatureEdgeSmoothing helps reduce this effect, but cannot entirely eliminate it.
See also:
vtkSmoothPolyDataFilter vtkDecimate vtkDecimatePro
vtkWindowedSincPolyDataFilter (examples)

Definition at line 164 of file vtkWindowedSincPolyDataFilter.h.

Constructor & Destructor Documentation

vtkWindowedSincPolyDataFilter::vtkWindowedSincPolyDataFilter   [protected]

vtkWindowedSincPolyDataFilter::~vtkWindowedSincPolyDataFilter   [inline, protected]

Definition at line 218 of file vtkWindowedSincPolyDataFilter.h.

vtkWindowedSincPolyDataFilter::vtkWindowedSincPolyDataFilter const vtkWindowedSincPolyDataFilter &    [inline, protected]

Definition at line 219 of file vtkWindowedSincPolyDataFilter.h.

Member Function Documentation

virtual const char* vtkWindowedSincPolyDataFilter::GetClassName   [virtual]

Return the class name as a string. This method is defined in all subclasses of vtkObject with the vtkTypeMacro found in vtkSetGet.h.

Reimplemented from vtkPolyDataToPolyDataFilter.

int vtkWindowedSincPolyDataFilter::IsTypeOf const char *    type [static]

Return 1 if this class type is the same type of (or a subclass of) the named class. Returns 0 otherwise. This method works in combination with vtkTypeMacro found in vtkSetGet.h.

Reimplemented from vtkPolyDataToPolyDataFilter.

virtual int vtkWindowedSincPolyDataFilter::IsA const char *    type [virtual]

Return 1 if this class is the same type of (or a subclass of) the named class. Returns 0 otherwise. This method works in combination with vtkTypeMacro found in vtkSetGet.h.

Reimplemented from vtkPolyDataToPolyDataFilter.

vtkWindowedSincPolyDataFilter* vtkWindowedSincPolyDataFilter::SafeDownCast vtkObject   o [static]

Will cast the supplied object to vtkObject* is this is a safe operation (i.e., a safe downcast); otherwise NULL is returned. This method is defined in all subclasses of vtkObject with the vtkTypeMacro found in vtkSetGet.h.

Reimplemented from vtkPolyDataToPolyDataFilter.

void vtkWindowedSincPolyDataFilter::PrintSelf ostream &    os,
vtkIndent    indent

Methods invoked by print to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from vtkSource.

vtkWindowedSincPolyDataFilter* vtkWindowedSincPolyDataFilter::New   [static]

Construct object with number of iterations 20; passband .1; feature edge smoothing turned off; feature angle 45 degrees; edge angle 15 degrees; and boundary smoothing turned on. Error scalars and vectors are not generated (by default). The convergence criterion is 0.0 of the bounding box diagonal.

Reimplemented from vtkPolyDataSource.

virtual void vtkWindowedSincPolyDataFilter::SetNumberOfIterations int    [virtual]

Specify the number of iterations (or degree of the polynomial approximating the windowed sinc function).

virtual int vtkWindowedSincPolyDataFilter::GetNumberOfIterations   [virtual]

virtual void vtkWindowedSincPolyDataFilter::SetPassBand float    [virtual]

Set the passband value for the windowed sinc filter

virtual float vtkWindowedSincPolyDataFilter::GetPassBand   [virtual]

virtual void vtkWindowedSincPolyDataFilter::SetFeatureEdgeSmoothing int    [virtual]

Turn on/off smoothing along sharp interior edges.

virtual int vtkWindowedSincPolyDataFilter::GetFeatureEdgeSmoothing   [virtual]

virtual void vtkWindowedSincPolyDataFilter::FeatureEdgeSmoothingOn   [virtual]

virtual void vtkWindowedSincPolyDataFilter::FeatureEdgeSmoothingOff   [virtual]

virtual void vtkWindowedSincPolyDataFilter::SetFeatureAngle float    [virtual]

Specify the feature angle for sharp edge identification.

virtual float vtkWindowedSincPolyDataFilter::GetFeatureAngle   [virtual]

virtual void vtkWindowedSincPolyDataFilter::SetEdgeAngle float    [virtual]

Specify the edge angle to control smoothing along edges (either interior or boundary).

virtual float vtkWindowedSincPolyDataFilter::GetEdgeAngle   [virtual]

virtual void vtkWindowedSincPolyDataFilter::SetBoundarySmoothing int    [virtual]

Turn on/off the smoothing of vertices on the boundary of the mesh.

virtual int vtkWindowedSincPolyDataFilter::GetBoundarySmoothing   [virtual]

virtual void vtkWindowedSincPolyDataFilter::BoundarySmoothingOn   [virtual]

virtual void vtkWindowedSincPolyDataFilter::BoundarySmoothingOff   [virtual]

virtual void vtkWindowedSincPolyDataFilter::SetGenerateErrorScalars int    [virtual]

Turn on/off the generation of scalar distance values.

virtual int vtkWindowedSincPolyDataFilter::GetGenerateErrorScalars   [virtual]

virtual void vtkWindowedSincPolyDataFilter::GenerateErrorScalarsOn   [virtual]

virtual void vtkWindowedSincPolyDataFilter::GenerateErrorScalarsOff   [virtual]

virtual void vtkWindowedSincPolyDataFilter::SetGenerateErrorVectors int    [virtual]

Turn on/off the generation of error vectors.

virtual int vtkWindowedSincPolyDataFilter::GetGenerateErrorVectors   [virtual]

virtual void vtkWindowedSincPolyDataFilter::GenerateErrorVectorsOn   [virtual]

virtual void vtkWindowedSincPolyDataFilter::GenerateErrorVectorsOff   [virtual]

void vtkWindowedSincPolyDataFilter::operator= const vtkWindowedSincPolyDataFilter &    [inline, protected]

Definition at line 220 of file vtkWindowedSincPolyDataFilter.h.

void vtkWindowedSincPolyDataFilter::Execute   [protected, virtual]

Reimplemented from vtkSource.

Member Data Documentation

int vtkWindowedSincPolyDataFilter::NumberOfIterations [protected]

Definition at line 224 of file vtkWindowedSincPolyDataFilter.h.

float vtkWindowedSincPolyDataFilter::PassBand [protected]

Definition at line 225 of file vtkWindowedSincPolyDataFilter.h.

int vtkWindowedSincPolyDataFilter::FeatureEdgeSmoothing [protected]

Definition at line 226 of file vtkWindowedSincPolyDataFilter.h.

float vtkWindowedSincPolyDataFilter::FeatureAngle [protected]

Definition at line 227 of file vtkWindowedSincPolyDataFilter.h.

float vtkWindowedSincPolyDataFilter::EdgeAngle [protected]

Definition at line 228 of file vtkWindowedSincPolyDataFilter.h.

int vtkWindowedSincPolyDataFilter::BoundarySmoothing [protected]

Definition at line 229 of file vtkWindowedSincPolyDataFilter.h.

int vtkWindowedSincPolyDataFilter::GenerateErrorScalars [protected]

Definition at line 230 of file vtkWindowedSincPolyDataFilter.h.

int vtkWindowedSincPolyDataFilter::GenerateErrorVectors [protected]

Definition at line 231 of file vtkWindowedSincPolyDataFilter.h.

The documentation for this class was generated from the following file:
Generated on Wed Nov 21 13:03:22 2001 for VTK by doxygen1.2.11.1 written by Dimitri van Heesch, © 1997-2001