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| BSplineBase< ORDER, T > Class Template Reference Mathematical Functions |

`#include <vigra/splines.hxx>`

Inheritance diagram for BSplineBase< ORDER, T >:

List of all members.

## Public Types

typedef T | argument_type
typedef T | first_argument_type
typedef T | result_type
typedef unsigned int | second_argument_type
enum | StaticOrder
typedef T | value_type

## Public Member Functions

| BSplineBase (unsigned int derivativeOrder=0)
unsigned int | derivativeOrder () const
result_type | operator() (argument_type x) const
result_type | operator() (first_argument_type x, second_argument_type derivative_order) const
value_type | operator[] (value_type x) const
ArrayVector< double > const & | prefilterCoefficients () const
double | radius () const

## Static Public Member Functions

static WeightMatrix & | weights ()

## Detailed Description

### template<int ORDER, class T = double>
class vigra::BSplineBase< ORDER, T >

Basic interface of the spline functors.

Implements the spline functions defined by the recursion

and

where * denotes convolution, and n is the spline order given by the template parameter `ORDER`. These spline classes can be used as unary and binary functors, as kernels for resamplingConvolveImage(), and as arguments for vigra::SplineImageView. Note that the spline order is given as a template argument.

#include <vigra/splines.hxx>
Namespace: vigra

## Member Typedef Documentation

typedef T value_type

the value type if used as a kernel in resamplingConvolveImage().

typedef T argument_type

the functor's unary argument type

typedef T first_argument_type

the functor's first binary argument type

typedef unsigned int second_argument_type

the functor's second binary argument type

typedef T result_type

the functor's result type (unary and binary)

## Member Enumeration Documentation

enum StaticOrder

the spline order

## Constructor & Destructor Documentation

BSplineBase | ( | unsigned int | derivativeOrder = `0` | ) | `[explicit]`

Create functor for given derivative of the spline. The spline's order is specified spline by the template argument `ORDER`.

## Member Function Documentation

result_type operator() | ( | argument_type | x | ) | const

Unary function call. Returns the value of the spline with the derivative order given in the constructor. Note that only derivatives up to `ORDER-1` are continuous, and derivatives above `ORDER+1` are zero.

result_type operator() | ( | first_argument_type | x,
|  | second_argument_type | derivative_order
| ) |  | const

Binary function call. The given derivative order is added to the derivative order specified in the constructor. Note that only derivatives up to `ORDER-1` are continuous, and derivatives above `ORDER+1` are zero.

value_type operator[] | ( | value_type | x | ) | const

Index operator. Same as unary function call.

double radius | ( |  | ) | const

Get the required filter radius for a discrete approximation of the spline. Always equal to `(ORDER + 1) / 2.0`.

unsigned int derivativeOrder | ( |  | ) | const

Get the derivative order of the Gaussian.

ArrayVector<double> const& prefilterCoefficients | ( |  | ) | const

Get the prefilter coefficients required for interpolation. To interpolate with a B-spline, resamplingConvolveImage() can be used. However, the image to be interpolated must be pre-filtered using recursiveFilterX() and recursiveFilterY() with the filter coefficients given by this function. The length of the array corresponds to how many times the above recursive filtering has to be applied (zero length means no prefiltering necessary).

static WeightMatrix& weights | ( |  | ) | `[static]`

Get the coefficients to transform spline coefficients into the coefficients of the corresponding polynomial. Currently internally used in SplineImageView; needs more documentation ???

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

- vigra/splines.hxx

© Ullrich Köthe (ullrich.koethe@iwr.uni-heidelberg.de) Heidelberg Collaboratory for Image Processing, University of Heidelberg, Germany | html generated using doxygen and Python vigra 1.9.0 (Tue Nov 6 2012)