vtkImageBSplineInternals Class Reference

BSpline code from P. More...

#include <vtkImageBSplineInternals.h>

Static Public Member Functions
static int	GetPoleValues (double poles[4], long &numPoles, long degree)
	Internal method. More...
static void	ConvertToInterpolationCoefficients (double data[], long size, long border, double poles[4], long numPoles, double tol)
	Internal method. More...
static int	GetInterpolationWeights (double weights[10], double w, long degree)
	Internal method. More...
static int	GetInterpolationWeights (float weights[10], double w, long degree)
	Internal method. More...
static int	InterpolatedValue (const double *coeffs, double *value, long width, long height, long slices, long depth, double x, double y, double z, long degree, long border)
	Internal method. More...
static int	InterpolatedValue (const float *coeffs, float *value, long width, long height, long slices, long depth, double x, double y, double z, long degree, long border)
	Internal method. More...

Protected Member Functions
	vtkImageBSplineInternals ()=default
	~vtkImageBSplineInternals ()=default

Static Protected Member Functions
static double	InitialCausalCoefficient (double data[], long size, long border, double pole, double tol)
static double	InitialAntiCausalCoefficient (double data[], long size, long border, double pole, double tol)

Detailed Description

BSpline code from P.

Thevenaz

vtkImageBSplineInternals provides code for image interpolation with b-splines of various degrees. This code computes the coefficients from the image, and computes the weights for the b-spline kernels.

This class is based on code provided by Philippe Thevenaz of EPFL, Lausanne, Switzerland. Please acknowledge his contribution by citing the following paper: [1] P. Thevenaz, T. Blu, M. Unser, "Interpolation Revisited," IEEE Transactions on Medical Imaging 19(7):739-758, 2000.

The clamped boundary condition (which is the default) is taken from code presented in the following paper: [2] D. Ruijters, P. Thevenaz, "GPU Prefilter for Accurate Cubic B-spline Interpolation," The Computer Journal, doi: 10.1093/comjnl/bxq086, 2010.

Definition at line 42 of file vtkImageBSplineInternals.h.

Constructor & Destructor Documentation

vtkImageBSplineInternals()

vtkImageBSplineInternals::vtkImageBSplineInternals ( )

protecteddefault

~vtkImageBSplineInternals()

vtkImageBSplineInternals::~vtkImageBSplineInternals ( )

protecteddefault

Member Function Documentation

GetPoleValues()

static int vtkImageBSplineInternals::GetPoleValues ( double  poles[4], long &  numPoles, long  degree  )

static

Internal method.

Get the poles for spline of given degree. Returns zero if an illegal degree is given (allowed range 2 to 9). The parameter numPoles will be set to a value between 1 and 4.

ConvertToInterpolationCoefficients()

static void vtkImageBSplineInternals::ConvertToInterpolationCoefficients ( double  data[], long  size, long  border, double  poles[4], long  numPoles, double  tol  )

static

Internal method.

Compute the coefficients for one row of data.

GetInterpolationWeights() [1/2]

static int vtkImageBSplineInternals::GetInterpolationWeights ( double  weights[10], double  w, long  degree  )

static

Internal method.

Get interpolation weights for offset w, where w is between 0 and 1. You must provide the degree of the spline.

GetInterpolationWeights() [2/2]

static int vtkImageBSplineInternals::GetInterpolationWeights ( float  weights[10], double  w, long  degree  )

static

Internal method.

Get interpolation weights for offset w, where w is between 0 and 1. You must provide the degree of the spline.

InterpolatedValue() [1/2]

static int vtkImageBSplineInternals::InterpolatedValue ( const double *  coeffs, double *  value, long  width, long  height, long  slices, long  depth, double  x, double  y, double  z, long  degree, long  border  )

static

Internal method.

Interpolate a value from the supplied 3D array of coefficients with dimensions width x height x slices.

InterpolatedValue() [2/2]

static int vtkImageBSplineInternals::InterpolatedValue ( const float *  coeffs, float *  value, long  width, long  height, long  slices, long  depth, double  x, double  y, double  z, long  degree, long  border  )

static

Internal method.

Interpolate a value from the supplied 3D array of coefficients with dimensions width x height x slices.

InitialCausalCoefficient()

static double vtkImageBSplineInternals::InitialCausalCoefficient ( double  data[], long  size, long  border, double  pole, double  tol  )

staticprotected

InitialAntiCausalCoefficient()

static double vtkImageBSplineInternals::InitialAntiCausalCoefficient ( double  data[], long  size, long  border, double  pole, double  tol  )

staticprotected

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The documentation for this class was generated from the following file:

• Imaging/Core/vtkImageBSplineInternals.h