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BSplineBase< ORDER, T > Class Template Reference |  |
#include <vigra/splines.hxx>
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 const & | 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
![\[ B_0(x) = \left\{ \begin{array}{ll} 1 & -\frac{1}{2} \leq x < \frac{1}{2} \\ 0 & \mbox{otherwise} \end{array}\right. \]](form_88.png)
and
![\[ B_n(x) = B_0(x) * B_{n-1}(x) \]](form_89.png)
where * denotes convolution, and n is the spline order given by the template parameter ORDER with ORDER < 18. 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
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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).
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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