A cubic spline which passes smoothly through four knots. More...
#include <geomc/shape/CubicSpline.h>
Inheritance diagram for CatromSpline< T, N >:
Public Types | |
| using | elem_t |
| The coordinate type of this object. | |
| using | point_t |
| The type of a point in this object's space. | |
Public Member Functions | |
| constexpr | CatromSpline (const VecType< T, N > pts[4]) |
| Construct the spline from an array of control points. | |
| constexpr | CatromSpline (VecType< T, N > p0, VecType< T, N > p1, VecType< T, N > p2, VecType< T, N > p3) |
| Construct the spline from four control points. | |
| constexpr Vec< T, N > | acceleration (T s) const |
| Compute the second derivative (acceleration) of the spline at a given parameter value. | |
| constexpr Rect< T, N > | bounds () const |
| Compute the bounding box of the spline. | |
| constexpr VecType< T, N > * | control_points () |
| constexpr const VecType< T, N > * | control_points () const |
| constexpr | operator PolynomialSpline< T, N > () const |
| Convert this spline to its coefficient representation. | |
| constexpr | operator Spline () const |
| Convert to another type of cubic spline. | |
| constexpr Vec< T, N > | operator() (T s) const |
| Evaluate the spline at a given parameter value. | |
| template<Transform< T, N > Xf> | |
| CatromSpline | operator* (Xf xf) const |
| Compute a transformation of the spline. | |
| constexpr Vec< T, N > | velocity (T s) const |
| Compute the derivative (velocity) of the spline at a given parameter value. | |
Static Public Member Functions | |
| static constexpr SimpleMatrix< T, 4, 4 > | basis () |
| static constexpr SimpleMatrix< T, 4, 4 > | inverse_basis () |
Public Attributes | |
| VecType< T, N > | p0 |
| Position at s = -1. | |
| VecType< T, N > | p1 |
| Position at s = 0. | |
| VecType< T, N > | p2 |
| Position at s = 1. | |
| VecType< T, N > | p3 |
| Position at s = 2. | |
Static Public Attributes | |
| static constexpr SimpleMatrix< T, 4, 4 > | CoefficientsToControl |
| static constexpr SimpleMatrix< T, 4, 4 > | ControlToCoefficients |
| static constexpr index_t | N |
| The dimension of this object. | |
Related Symbols | |
(Note that these are not member symbols.) | |
| template<typename T, index_t N, Transform< T, N > Xf> | |
| CatromSpline< T, N > | operator* (const Xf &xf, const CatromSpline< T, N > &spline) |
| template<typename T, index_t N, Transform< T, N > Xf> | |
| CatromSpline< T, N > | operator/ (const CatromSpline< T, N > &spline, const Xf &xf) |
Detailed Description
template<typename T, index_t N>
class geom::CatromSpline< T, N >
class geom::CatromSpline< T, N >
A cubic spline which passes smoothly through four knots.
Concatenated Catmull-Rom splines are continuous in position and velocity at the control points, but not in curvature.
Member Typedef Documentation
◆ point_t
|
inherited |
The type of a point in this object's space.
An N-vector of T if N > 1, otherwise a T.
Member Data Documentation
◆ CoefficientsToControl
template<typename T, index_t N>
|
staticconstexpr |
Initial value:
= {
{-1, -3, -1, -1},
{ 0, -1, -2, -1},
{-3, 4, -5, 0},
{ 0, -4, 2, -2},
}
◆ ControlToCoefficients
template<typename T, index_t N>
|
staticconstexpr |
Initial value:
= {
{ 0, 2, 0, 0},
{-1, 0, 1, 0},
{ 2, -5, 4, -1},
{-1, 3, -3, 1},
}
The documentation for this class was generated from the following file:
- geomc/shape/CubicSpline.h
Generated on for geomc by
1.16.1