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| CoscotFunction< T > Class Template Reference Mathematical Functions |

`#include <vigra/resizeimage.hxx>`

List of all members.

## Public Types
typedef T | argument_type
typedef T | result_type
typedef T | value_type
## Public Member Functions
unsigned int | derivativeOrder () const
result_type | operator() (argument_type x) const
value_type | operator[] (value_type x) const
ArrayVector< double > const & | prefilterCoefficients () const
double | radius () const

## Detailed Description

### template<class T>
class vigra::CoscotFunction< T >

The Coscot interpolation function.

Implements the Coscot interpolation function proposed by Maria Magnusson Seger (maria@isy.liu.se) in the context of tomographic reconstruction. It provides a fast transition between the pass- and stop-bands and minimal ripple outside the transition region. Both properties are important for this application and can be tuned by the parameters m and h (with defaults 3 and 0.5). The function is defined by

It can be used as a functor, and as a kernel for resamplingConvolveImage() to create a differentiable interpolant of an image.

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

## Member Typedef Documentation

typedef T value_type

the kernel's value type

typedef T argument_type

the unary functor's argument type

typedef T result_type

the splines polynomial order

## Member Function Documentation

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

function (functor) call

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

index operator -- same as operator()

double radius | ( |  | ) | const

Radius of the function's support. Needed for resamplingConvolveImage(), equals m.

unsigned int derivativeOrder | ( |  | ) | const

Derivative order of the function: always 0.

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

Prefilter coefficients for compatibility with vigra::BSpline. (array has zero length, since prefiltering is not necessary).

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

- vigra/resizeimage.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)