implementation of 2d line with parametric equation. More...
#include <line_2d_parametric.h>
Public Member Functions | |
| Line2DParametric () | |
| initializes to an invalid state. | |
| Line2DParametric (const TPoint &iSupport, const TPoint &iPoint) | |
| Construct a line through three points. | |
| Line2DParametric (const TPoint &iSupport, const TVector &iDir) | |
| construct a line through a support point and by two direction vectors. | |
| Line2DParametric (const TVector &iNormal, const TPoint &iSupport) | |
| Construct a line through a support point and by a normal vector. | |
| Line2DParametric (const TVector &iNormal, TParam iD) | |
| Construct a line by a cartesian equation N.P + d == 0. | |
| const TPoint & | support () const |
| return support point. | |
| const TVector & | direction () const |
| return direction vector. | |
| const TValue | equation (const TPoint &iPoint) const |
| Return value of point in equation. | |
| const TValue | equation (const TPoint &iPoint, TParam iRelativeTolerance) const |
| Return value of point in equation. | |
| const TVector | reject (const TPoint &iPoint) const |
| return the vector that, if added to the PROJECTION of iPoint, you get iPoint again. | |
| const TVector | reject (const TVector &iVector) const |
| return the part of iVector that is orthogonal to the line. | |
| const TPoint | project (const TPoint &iPoint) const |
| project a point orthogonally onto the line | |
| const TVector | project (const TVector &iVector) const |
| project a vector orthogonally onto the line | |
| const TPoint | reflect (const TPoint &iPoint) const |
| reflect a point orthogonally into the line. | |
| const TVector | reflect (const TVector &iVector) const |
| reflect a vector orthogonally to the line | |
| const TPoint | point (TParam iT) const |
| return point by filling in the parametric equation: P(t) = S + t * U | |
| const TValue | t (const TPoint &iPoint) const |
| return UV pair of parameters | |
| bool | isValid () const |
| return true if line is a valid line (no normal or direction vectors that are zero). | |
Detailed Description
class lass::prim::impl::Line2DParametric< T, NormalizingPolicy >
implementation of 2d line with parametric equation.
Definition at line 65 of file line_2d_parametric.h.
Constructor & Destructor Documentation
◆ Line2DParametric() [1/4]
| lass::prim::impl::Line2DParametric< T, NP >::Line2DParametric | ( | const TPoint & | iSupport, |
| const TPoint & | iPoint ) |
Construct a line through three points.
- support point S is given by the first point iSupport.
- direction vector U is choosen from iSupport to iPointU and iPointV respectively (U = iPoint - iSupport).
Definition at line 78 of file line_2d_parametric.inl.
◆ Line2DParametric() [2/4]
| lass::prim::impl::Line2DParametric< T, NP >::Line2DParametric | ( | const TPoint & | iSupport, |
| const TVector & | iDirection ) |
construct a line through a support point and by two direction vectors.
- support point S is given by the point iSupport.
- direction vector U is given by iDirection.
Definition at line 92 of file line_2d_parametric.inl.
◆ Line2DParametric() [3/4]
| lass::prim::impl::Line2DParametric< T, NP >::Line2DParametric | ( | const TVector & | iNormal, |
| const TPoint & | iSupport ) |
Construct a line through a support point and by a normal vector.
- support point S is given by the point iSupport.
- direction vector U is automatically generated so that iNormal is perp of U.
Definition at line 106 of file line_2d_parametric.inl.
◆ Line2DParametric() [4/4]
| lass::prim::impl::Line2DParametric< T, NP >::Line2DParametric | ( | const TVector & | iNormal, |
| TParam | iD ) |
Construct a line by a cartesian equation N.P + d == 0.
- support point S automatically generated so that iNormal.S + iD == 0.
- direction vector U is automatically generated so that iNormal is perp of U.
Definition at line 120 of file line_2d_parametric.inl.
Member Function Documentation
◆ reject() [1/2]
| const Line2DParametric< T, NP >::TVector lass::prim::impl::Line2DParametric< T, NP >::reject | ( | const TPoint & | iPoint | ) | const |
return the vector that, if added to the PROJECTION of iPoint, you get iPoint again.
iPoint == (almost) project(iPoint) + reject(iPoint)
Definition at line 214 of file line_2d_parametric.inl.
References reject().
Referenced by reject().
◆ reject() [2/2]
| const Line2DParametric< T, NP >::TVector lass::prim::impl::Line2DParametric< T, NP >::reject | ( | const TVector & | iVector | ) | const |
return the part of iVector that is orthogonal to the line.
it's the vector that, if added to the PROJECTION of iVector, you get iVector again. iVector == (almost) project(iVector) + reject(iVector).
Definition at line 227 of file line_2d_parametric.inl.
The documentation for this class was generated from the following files:
