A cubic spline with four guide points and continuous curvature. More...
#include <geomc/shape/CubicSpline.h>
Inheritance diagram for BSpline< 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 | BSpline (const VecType< T, N > pts[4]) |
| Construct the spline from an array of control points. | |
| constexpr | BSpline (VecType< T, N > s0, VecType< T, N > s1, VecType< T, N > s2, VecType< T, N > s3) |
| 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. | |
| 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 > | s0 |
| Guide point for s = -1. | |
| VecType< T, N > | s1 |
| Guide point for s = 0. | |
| VecType< T, N > | s2 |
| Guide point for s = 1. | |
| VecType< T, N > | s3 |
| Guide point for 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> | |
| BSpline< T, N > | operator* (const Xf &xf, const BSpline< T, N > &spline) |
| template<typename T, index_t N, Transform< T, N > Xf> | |
| BSpline< T, N > | operator/ (const BSpline< T, N > &spline, const Xf &xf) |
Detailed Description
template<typename T, index_t N>
class geom::BSpline< T, N >
class geom::BSpline< T, N >
A cubic spline with four guide points and continuous curvature.
The curve does not necessarily pass through the guide points. Concatenated B-splines which share three consecutive guide points are continuous in position, velocity, and 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:
= {
{3, -3, 2, 0},
{3, 0, -1, 0},
{3, 3, 2, 0},
{3, 6, 11, 18},
}
◆ ControlToCoefficients
template<typename T, index_t N>
|
staticconstexpr |
Initial value:
= {
{ 1, 4, 1, 0},
{-3, 0, 3, 0},
{ 3, -6, 3, 0},
{-1, 3, -3, 1},
}
The documentation for this class was generated from the following file:
- geomc/shape/CubicSpline.h
Generated on Mon Feb 17 2025 15:19:55 for geomc by
1.13.2