Library of Assembled Shared Sources
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implementation of lass::prim::Plane3D with a parametric equation More...
#include <plane_3d_parametric.h>
Public Member Functions | |
Plane3DParametric () | |
initializes to an invalid state. | |
Plane3DParametric (const TPoint &iSupport, const TPoint &iPointU, const TPoint &iPointV) | |
Construct a plane through three points. | |
Plane3DParametric (const TPoint &iSupport, const TVector &iDirectionU, const TVector &iDirectionV) | |
construct a plane through a support point and by two direction vectors. | |
Plane3DParametric (const TVector &iNormal, const TPoint &iSupport) | |
Construct a plane through a support point and by a normal vector. | |
Plane3DParametric (const TVector &iNormal, TParam iD) | |
Construct a plane by a cartesian equation N.P + d == 0. | |
const TPoint & | support () const |
return support point. | |
void | getDirections (TVector &oDirectionU, TVector &oDirectionV) const |
return U and V direction vectors | |
const TVector & | directionU () const |
return U direction vector. | |
const TVector & | directionV () const |
return V direction vector. | |
void | getReciprocals (TVector &oReciprocalU, TVector &oReciprocalV) const |
return reciprocal vectors for U and V direction vectors | |
const TVector | reciprocalU () const |
return reciprocal for U direction vector. | |
const TVector | reciprocalV () const |
return reciprocal for V 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 plane. | |
const TPoint | project (const TPoint &iPoint) const |
project a point orthogonally onto the plane | |
const TVector | project (const TVector &iVector) const |
project a vector orthogonally onto the plane | |
const TPoint | reflect (const TPoint &iPoint) const |
reflect a point orthogonally into the plane. | |
const TVector | reflect (const TVector &iVector) const |
reflect a vector orthogonally into the plane | |
const TPoint | point (TParam iU, TParam iV) const |
return point by filling in the parametric equation: P(u, v) = S + u * U + v * V | |
const TPoint | point (const TUV &iUV) const |
return point by filling in the parametric equation: P(u, v) = S + u * U + v * V | |
const TUV | uv (const TPoint &iPoint) const |
return UV pair of parameters | |
bool | isValid () const |
return true if plane is a valid plane (no direction vector is zero and they're not colinear. | |
implementation of lass::prim::Plane3D with a parametric equation
This implementation of the plane uses the parametric equation P(u, v) = S + u * U + v * V. with S a support point, U and V two direction vectors, and u and v two parameters.
Definition at line 72 of file plane_3d_parametric.h.
lass::prim::impl::Plane3DParametric< T, NP >::Plane3DParametric | ( | const TPoint & | iSupport, |
const TPoint & | iPointU, | ||
const TPoint & | iPointV ) |
Construct a plane through three points.
Definition at line 79 of file plane_3d_parametric.inl.
lass::prim::impl::Plane3DParametric< T, NP >::Plane3DParametric | ( | const TPoint & | iSupport, |
const TVector & | iDirectionU, | ||
const TVector & | iDirectionV ) |
construct a plane through a support point and by two direction vectors.
Definition at line 97 of file plane_3d_parametric.inl.
lass::prim::impl::Plane3DParametric< T, NP >::Plane3DParametric | ( | const TVector & | iNormal, |
const TPoint & | iSupport ) |
Construct a plane through a support point and by a normal vector.
Definition at line 115 of file plane_3d_parametric.inl.
lass::prim::impl::Plane3DParametric< T, NP >::Plane3DParametric | ( | const TVector & | iNormal, |
TParam | iD ) |
Construct a plane by a cartesian equation N.P + d == 0.
Definition at line 130 of file plane_3d_parametric.inl.
References lass::prim::impl::Plane3DImplDetail::generateDirections().
const Plane3DParametric< T, NP >::TVector lass::prim::impl::Plane3DParametric< T, NP >::reject | ( | const TPoint & | iPoint | ) | const |
const Plane3DParametric< T, NP >::TVector lass::prim::impl::Plane3DParametric< T, NP >::reject | ( | const TVector & | iVector | ) | const |
return the part of iVector that is orthogonal to the plane.
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 299 of file plane_3d_parametric.inl.