cmtk::CubicSpline Class Reference [cmtkBase Library]

Class computing cubic splines. More...

#include <cmtkCubicSpline.h>

List of all members.

Static Public Member Functions
static Types::Coordinate	ApproxSpline0 (const Types::Coordinate t)
	Compute a value of the 0th approximating spline function.
static Types::Coordinate	ApproxSpline1 (const Types::Coordinate t)
	Compute a value of the 1st approximating spline function.
static Types::Coordinate	ApproxSpline2 (const Types::Coordinate t)
	Compute a value of the 2nd approximating spline function.
static Types::Coordinate	ApproxSpline3 (const Types::Coordinate t)
	Compute a value of the 3rd approximating spline function.
static Types::Coordinate	ApproxSpline (const int k, const Types::Coordinate t)
	Compute the value of a given approximating spline function.
static Types::Coordinate	DerivApproxSpline0 (const Types::Coordinate t)
	Compute the derivative of the 0th approximating spline function.
static Types::Coordinate	DerivApproxSpline1 (const Types::Coordinate t)
	Compute derivative of the 1st approximating spline function.
static Types::Coordinate	DerivApproxSpline2 (const Types::Coordinate t)
	Compute derivative of the 2nd approximating spline function.
static Types::Coordinate	DerivApproxSpline3 (const Types::Coordinate t)
	Compute derivative of the 3rd approximating spline function.
static Types::Coordinate	DerivApproxSpline (const int k, const Types::Coordinate t)
	Compute the derivative of a given approximating spline function.
static Types::Coordinate	SecondDerivApproxSpline0 (const Types::Coordinate t)
	Compute the second derivative of the 0th approximating spline function.
static Types::Coordinate	SecondDerivApproxSpline1 (const Types::Coordinate t)
	Compute second derivative of the 1st approximating spline function.
static Types::Coordinate	SecondDerivApproxSpline2 (const Types::Coordinate t)
	Compute second derivative of the 2nd approximating spline function.
static Types::Coordinate	SecondDerivApproxSpline3 (const Types::Coordinate t)
	Compute second derivative of the 3rd approximating spline function.
static Types::Coordinate	SecondDerivApproxSpline (const int k, const Types::Coordinate t)
	Compute the second derivative of a given approximating spline function.
static Types::Coordinate	InterpSpline0 (const Types::Coordinate t)
	Compute a value of the 0th interpolating spline function.
static Types::Coordinate	InterpSpline1 (const Types::Coordinate t)
	Compute a value of the 1st interpolating spline function.
static Types::Coordinate	InterpSpline2 (const Types::Coordinate t)
	Compute a value of the 2nd interpolating spline function.
static Types::Coordinate	InterpSpline3 (const Types::Coordinate t)
	Compute a value of the 3rd interpolating spline function.
static Types::Coordinate	InterpSpline (const int k, const Types::Coordinate t)
	Compute the value of a given interpolating spline function.
static Types::Coordinate	DerivInterpSpline0 (const Types::Coordinate t)
	Compute derivative of the 0th interpolating spline function.
static Types::Coordinate	DerivInterpSpline1 (const Types::Coordinate t)
	Compute derivative of the 1st interpolating spline function.
static Types::Coordinate	DerivInterpSpline2 (const Types::Coordinate t)
	Compute derivative of the 2nd interpolating spline function.
static Types::Coordinate	DerivInterpSpline3 (const Types::Coordinate t)
	Compute derivative of the 3rd interpolating spline function.
static Types::Coordinate	DerivInterpSpline (const int k, const Types::Coordinate t)
	Compute derivative of a given interpolating spline function.
static Types::Coordinate	SecondDerivInterpSpline0 (const Types::Coordinate t)
	Compute second derivative of the 0th interpolating spline function.
static Types::Coordinate	SecondDerivInterpSpline1 (const Types::Coordinate t)
	Compute second derivative of the 1st interpolating spline function.
static Types::Coordinate	SecondDerivInterpSpline2 (const Types::Coordinate t)
	Compute second derivative of the 2nd interpolating spline function.
static Types::Coordinate	SecondDerivInterpSpline3 (const Types::Coordinate t)
	Compute second derivative of the 3rd interpolating spline function.
static Types::Coordinate	SecondDerivInterpSpline (const int k, const Types::Coordinate t)
	Compute second derivative of a given interpolating spline function.

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Detailed Description

Class computing cubic splines.

This class is used for example by tri-cubic intensity interpolation and B-spline deformations. It supports both approximating splines (for deformations) and interpolating splines (for intensity interpolation).

Definition at line 53 of file cmtkCubicSpline.h.

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Member Function Documentation

static Types::Coordinate cmtk::CubicSpline::ApproxSpline0

(

const Types::Coordinate

t )

[inline, static]

Compute a value of the 0th approximating spline function.

Definition at line 57 of file cmtkCubicSpline.h.

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

• libs/Base/cmtkCubicSpline.h