#include <vgl_plane_3d.h>
The equation of the plane is
Definition at line 31 of file vgl_plane_3d.h.
Public Member Functions | |
| vgl_plane_3d () | |
| vgl_plane_3d (T a, T b, T c, T d) | |
| Construct a vgl_plane_3d from its equation $ax+by+cz+d=0$. | |
| vgl_plane_3d (const T v[4]) | |
| Construct a vgl_plane_3d from its equation $v[0]x+v[1]y+v[2]z+v[3]=0$. | |
| vgl_plane_3d (vgl_homg_plane_3d< T > const &p) | |
| Construct from a homogeneous plane. | |
| vgl_plane_3d (vgl_vector_3d< T > const &normal, vgl_point_3d< T > const &p) | |
| Construct from Normal and a point. | |
| vgl_plane_3d (vgl_point_3d< T > const &p1, vgl_point_3d< T > const &p2, vgl_point_3d< T > const &p3) | |
| Construct from three non-collinear points. | |
| T | a () const |
| Return x coefficient. | |
| T | nx () const |
| T | b () const |
| Return y coefficient. | |
| T | ny () const |
| T | c () const |
| Return z coefficient. | |
| T | nz () const |
| T | d () const |
| Return constant coefficient. | |
| void | set (T a, T b, T c, T d) |
| Set this vgl_plane_3d to have the equation $ax+by+cz+d=0$. | |
| bool | operator== (vgl_plane_3d< T > const &p) const |
| the comparison operator. | |
| bool | operator!= (vgl_plane_3d< T >const &p) const |
| bool | ideal (T=(T) 0) const |
| Return true iff the plane is the plane at infinity. | |
| vgl_vector_3d< T > | normal () const |
| Return the normal direction, i.e. | |
Private Attributes | |
| T | a_ |
| T | b_ |
| T | c_ |
| T | d_ |
Related Functions | |
| (Note that these are not member functions.) | |
| vgl_point_3d< T > | vgl_intersection (const vcl_vector< vgl_plane_3d< T > > &p) |
| Return the intersection point of vector of planes. | |
| vgl_point_3d< T > | vgl_closest_point (vgl_plane_3d< T > const &pl, vgl_point_3d< T > const &p) |
| Return the point on the given plane closest to the given point. | |
| double | vgl_distance_origin (vgl_plane_3d< T > const &pl) |
| find the shortest distance of the plane to the origin. | |
| double | vgl_distance (vgl_plane_3d< T > const &l, vgl_point_3d< T > const &p) |
| return the perpendicular distance from a point to a plane in 3D. | |
| vgl_point_3d< T > | vgl_intersection (vgl_line_3d_2_points< T > const &line, vgl_plane_3d< T > const &plane) |
| Return the intersection point of a line and a plane. | |
| vgl_point_3d< T > | vgl_intersection (const vgl_plane_3d< T > &p1, const vgl_plane_3d< T > &p2, const vgl_plane_3d< T > &p3) |
| Return the intersection point of three planes. | |
| vcl_ostream & | operator<< (vcl_ostream &s, const vgl_plane_3d< T > &p) |
| Write to stream. | |
| vcl_istream & | operator>> (vcl_istream &is, vgl_plane_3d< T > &p) |
| Read from stream. | |
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Definition at line 44 of file vgl_plane_3d.h. |
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Construct a vgl_plane_3d from its equation $ax+by+cz+d=0$. At least one of a, b or c should be nonzero. Definition at line 59 of file vgl_plane_3d.h. |
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Construct a vgl_plane_3d from its equation $v[0]x+v[1]y+v[2]z+v[3]=0$. At least one of v[0], v[1] or v[2] should be nonzero. Definition at line 64 of file vgl_plane_3d.h. |
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Construct from a homogeneous plane.
Definition at line 15 of file vgl_plane_3d.txx. |
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Construct from Normal and a point. The plane goes through the point p and will be orthogonal to normal. Definition at line 41 of file vgl_plane_3d.txx. |
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Construct from three non-collinear points. The plane will contain all three points p1, p2 and p3. Definition at line 20 of file vgl_plane_3d.txx. |
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Return x coefficient.
Definition at line 84 of file vgl_plane_3d.h. |
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Return y coefficient.
Definition at line 87 of file vgl_plane_3d.h. |
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Return z coefficient.
Definition at line 90 of file vgl_plane_3d.h. |
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Return constant coefficient.
Definition at line 93 of file vgl_plane_3d.h. |
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Return true iff the plane is the plane at infinity. Always returns false Definition at line 105 of file vgl_plane_3d.h. |
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Return the normal direction, i.e. , a unit vector orthogonal to this plane. Definition at line 108 of file vgl_plane_3d.h. |
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Definition at line 85 of file vgl_plane_3d.h. |
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Definition at line 88 of file vgl_plane_3d.h. |
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Definition at line 91 of file vgl_plane_3d.h. |
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Definition at line 101 of file vgl_plane_3d.h. |
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the comparison operator. The equations need not be identical, but just equivalent. Definition at line 49 of file vgl_plane_3d.txx. |
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Set this vgl_plane_3d to have the equation $ax+by+cz+d=0$.
Definition at line 96 of file vgl_plane_3d.h. |
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Write to stream.
Definition at line 66 of file vgl_plane_3d.txx. |
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Read from stream.
Definition at line 75 of file vgl_plane_3d.txx. |
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Return the point on the given plane closest to the given point.
Definition at line 263 of file vgl_closest_point.txx. |
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return the perpendicular distance from a point to a plane in 3D.
Definition at line 236 of file vgl_distance.txx. |
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find the shortest distance of the plane to the origin.
Definition at line 192 of file vgl_distance.txx. |
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Return the intersection point of three planes.
Definition at line 288 of file vgl_intersection.txx. |
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Return the intersection point of a line and a plane.
Definition at line 249 of file vgl_intersection.txx. |
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Return the intersection point of vector of planes.
Definition at line 18 of file vgl_intersection.txx. |
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Definition at line 34 of file vgl_plane_3d.h. |
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Definition at line 35 of file vgl_plane_3d.h. |
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Definition at line 36 of file vgl_plane_3d.h. |
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Definition at line 37 of file vgl_plane_3d.h. |
1.4.4