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| BSplineBase Class Template Reference |
--- | --- | ---

`#include "vigra/splines.hxx"`

Inheritance diagram for BSplineBase:

## Public Types

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

## Public Methods

| BSplineBase (unsigned int derivativeOrder=0)
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
double | radius () const
unsigned int | derivativeOrder () const
ArrayVector< double > const & | prefilterCoefficients () const

## Static Public Methods

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 argument_type

| the functor's unary argument type

typedef T first_argument_type

| the functor's first binary argument type

typedef T result_type

| the functor's result type (unary and binary)

typedef unsigned int second_argument_type

| the functor's second binary argument type

typedef T value_type

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

## Member Enumeration Documentation

enum StaticOrder

| the spline order

## Constructor & Destructor Documentation

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

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

## Member Function Documentation

unsigned int derivativeOrder | ( |  | ) | const`[inline]`

| Get the derivative order of the Gaussian.

result_type operator() | ( | first_argument_type | x,
|  | second_argument_type | derivative_order
| ) | const`[inline]`

| 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 continous, and derivatives above `ORDER+1` are zero.

result_type operator() | ( | argument_type | x | ) | const`[inline]`

| 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 continous, and derivatives above `ORDER+1` are zero.

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

| Index operator. Same as unary function call.

ArrayVector<double> const& prefilterCoefficients | ( |  | ) | const`[inline]`

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 recursiveFilterImage() with the filter coefficients given by this function. The length of the array corresponds to the number of times recursiveFilterImage() has to be applied (zero length means no prefiltering necessary).

double radius | ( |  | ) | const`[inline]`

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

WeightMatrix& weights | ( |  | ) | `[inline, 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 (koethe@informatik.uni-hamburg.de) Cognitive Systems Group, University of Hamburg, Germany | html generated using doxygen and Python VIGRA 1.5.0 (7 Dec 2006)