#include <CardinalSpline.h>
Public Types | |
| typedef vnl_vector_fixed < double, 3 > | Vector3D |
Public Member Functions | |
| CardinalSpline () | |
| CardinalSpline (vcl_vector< Vector3D > &cPoints) | |
| CardinalSpline (const CardinalSpline &cs) | |
| CardinalSpline & | operator= (const CardinalSpline &cs) |
| ~CardinalSpline () | |
| Vector3D | getPoint (double t) const |
| Returns the relevant point on the spline parameterised by t. | |
| vcl_vector< Vector3D > | getPoints (int num_points) const |
| Return a list of points on the boundary of the curve. | |
| vcl_vector< Vector3D > | getControlPoints () const |
| void | setT (double t) |
| Vector3D | closest_point (const Vector3D &point) const |
| double | closest_point_t (const Vector3D &point) const |
| Return the t value of the closest point to the input point. | |
| Vector3D | firstDerivative (double t) const |
| Gradient of the spline functions - ie $[d_c(x)/du d_c(y)/du d_c(z)/du]^T$. | |
| Vector3D | secondDerivative (double t) const |
| Second derivative of the spline functions - ie $[d^2_c(x)/du^2 d^2_c(y)/du^2 d^2_c(z)/du^2]^T$. | |
| Vector3D | mean_control_pts () const |
| void | b_write (vsl_b_ostream &os) const |
| void | b_read (vsl_b_istream &os) |
| short | version () const |
| void | print_summary (vcl_ostream &os) const |
| vcl_string | is_a () const |
| bool | is_class (const vcl_string &s) const |
| bool | operator== (const CardinalSpline &c) const |
| bool | operator!= (const CardinalSpline &c) const |
| void | translate (const Vector3D &t) |
Private Member Functions | |
| double | distanceFunctionFirstDerivative (double t, const Vector3D &point) const |
| Derivative of the distance function from a point to the curve at parameter t. | |
| double | distanceFunctionSecondDerivative (double t, const Vector3D &point) const |
| Vector3D | getVal (const vnl_matrix_fixed< double, 1, 4 > &uvec, int pk) const |
| double | convert_t (double t) const |
| void | setMc (double s_) |
Private Attributes | |
| vcl_vector< Vector3D > | controlPoints |
| vnl_matrix< double > | Mc |
| double | s |
Definition at line 32 of file CardinalSpline.h.
| typedef vnl_vector_fixed<double, 3> CardinalSpline::Vector3D |
Definition at line 35 of file CardinalSpline.h.
| CardinalSpline::CardinalSpline | ( | ) | [inline] |
Definition at line 36 of file CardinalSpline.h.
| CardinalSpline::CardinalSpline | ( | vcl_vector< Vector3D > & | cPoints | ) | [inline] |
Definition at line 37 of file CardinalSpline.h.
| CardinalSpline::CardinalSpline | ( | const CardinalSpline & | cs | ) | [inline] |
Definition at line 42 of file CardinalSpline.h.
| CardinalSpline::~CardinalSpline | ( | ) | [inline] |
Definition at line 53 of file CardinalSpline.h.
| void CardinalSpline::b_read | ( | vsl_b_istream & | os | ) |
Definition at line 226 of file CardinalSpline.cxx.
| void CardinalSpline::b_write | ( | vsl_b_ostream & | os | ) | const |
Definition at line 219 of file CardinalSpline.cxx.
Definition at line 59 of file CardinalSpline.h.
| double CardinalSpline::closest_point_t | ( | const Vector3D & | point | ) | const |
Return the t value of the closest point to the input point.
This is calculated using Newton's method after an initial estimate is bracketed using the control points of the spline.
Definition at line 136 of file CardinalSpline.cxx.
| double CardinalSpline::convert_t | ( | double | t | ) | const [inline, private] |
Definition at line 115 of file CardinalSpline.h.
| double CardinalSpline::distanceFunctionFirstDerivative | ( | double | t, |
| const Vector3D & | point | ||
| ) | const [private] |
Derivative of the distance function from a point to the curve at parameter t.
Useful for finding the closest point to the curve.
Definition at line 113 of file CardinalSpline.cxx.
| double CardinalSpline::distanceFunctionSecondDerivative | ( | double | t, |
| const Vector3D & | point | ||
| ) | const [private] |
Definition at line 122 of file CardinalSpline.cxx.
| CardinalSpline::Vector3D CardinalSpline::firstDerivative | ( | double | t | ) | const |
Gradient of the spline functions - ie $[d_c(x)/du d_c(y)/du d_c(z)/du]^T$.
Definition at line 71 of file CardinalSpline.cxx.
| vcl_vector<Vector3D> CardinalSpline::getControlPoints | ( | ) | const [inline] |
Definition at line 57 of file CardinalSpline.h.
| CardinalSpline::Vector3D CardinalSpline::getPoint | ( | double | t | ) | const |
Returns the relevant point on the spline parameterised by t.
t should be between 0 and 1, 0 being the start of the curve, 1 at the end. Actually, in this implementation, it is a closed curve, so 0 and 1 will return the same point.
I am currently double checking this, I'm not convinced getPoint, firstDeriv etc work near t=0.0 and t=1.0
Definition at line 53 of file CardinalSpline.cxx.
| vcl_vector< CardinalSpline::Vector3D > CardinalSpline::getPoints | ( | int | num_points | ) | const |
Return a list of points on the boundary of the curve.
This is intended for drawing the curve as a list of line segments.
| int | num_points: the number of points to return. |
Definition at line 11 of file CardinalSpline.cxx.
| CardinalSpline::Vector3D CardinalSpline::getVal | ( | const vnl_matrix_fixed< double, 1, 4 > & | uvec, |
| int | pk | ||
| ) | const [private] |
Definition at line 26 of file CardinalSpline.cxx.
| vcl_string CardinalSpline::is_a | ( | ) | const [inline] |
Definition at line 87 of file CardinalSpline.h.
| bool CardinalSpline::is_class | ( | const vcl_string & | s | ) | const [inline] |
Definition at line 88 of file CardinalSpline.h.
| Vector3D CardinalSpline::mean_control_pts | ( | ) | const [inline] |
Definition at line 69 of file CardinalSpline.h.
| bool CardinalSpline::operator!= | ( | const CardinalSpline & | c | ) | const [inline] |
Definition at line 100 of file CardinalSpline.h.
| CardinalSpline& CardinalSpline::operator= | ( | const CardinalSpline & | cs | ) | [inline] |
Definition at line 44 of file CardinalSpline.h.
| bool CardinalSpline::operator== | ( | const CardinalSpline & | c | ) | const [inline] |
Definition at line 96 of file CardinalSpline.h.
| void CardinalSpline::print_summary | ( | vcl_ostream & | os | ) | const [inline] |
Definition at line 81 of file CardinalSpline.h.
| CardinalSpline::Vector3D CardinalSpline::secondDerivative | ( | double | t | ) | const |
Second derivative of the spline functions - ie $[d^2_c(x)/du^2 d^2_c(y)/du^2 d^2_c(z)/du^2]^T$.
Definition at line 92 of file CardinalSpline.cxx.
| void CardinalSpline::setMc | ( | double | s_ | ) | [inline, private] |
Definition at line 123 of file CardinalSpline.h.
| void CardinalSpline::setT | ( | double | t | ) | [inline] |
Definition at line 58 of file CardinalSpline.h.
| void CardinalSpline::translate | ( | const Vector3D & | t | ) | [inline] |
Definition at line 104 of file CardinalSpline.h.
| short CardinalSpline::version | ( | ) | const [inline] |
Definition at line 80 of file CardinalSpline.h.
vcl_vector<Vector3D> CardinalSpline::controlPoints [private] |
Definition at line 131 of file CardinalSpline.h.
vnl_matrix<double> CardinalSpline::Mc [private] |
Definition at line 132 of file CardinalSpline.h.
double CardinalSpline::s [private] |
Definition at line 133 of file CardinalSpline.h.
1.7.5.1