Classes | |
| class | NormalConeT |
| class | PlaneT |
| class | QuadricT |
Typedefs | |
| typedef PlaneT< float > | Planef |
| typedef PlaneT< double > | Planed |
| typedef QuadricT< float > | Quadricf |
| Quadric using floats. | |
| typedef QuadricT< double > | Quadricd |
| Quadric using double. | |
Functions | |
| template<typename Scalar > | |
| bool | baryCoord (const VectorT< Scalar, 3 > &_p, const VectorT< Scalar, 3 > &_u, const VectorT< Scalar, 3 > &_v, const VectorT< Scalar, 3 > &_w, VectorT< Scalar, 3 > &_result) |
| template<class Vec > | |
| Vec::value_type | triangleAreaSquared (const Vec &_v0, const Vec &_v1, const Vec &_v2) |
| return squared area of triangle (_v0, _v1, _v2) | |
| template<class Vec > | |
| Vec::value_type | distPointLineSquared (const Vec &_p, const Vec &_v0, const Vec &_v1, Vec *_min_v=0) |
| squared distance from point _p to line (_v0,_v1) | |
| template<class Vec > | |
| Vec::value_type | distPointTriangleSquared (const Vec &_p, const Vec &_v0, const Vec &_v1, const Vec &_v2, Vec &_nearestPoint) |
| squared distance from point _p to triangle (_v0, _v1, _v2) | |
| template<typename Scalar > | |
| Scalar | distLineLineSquared (const VectorT< Scalar, 3 > &_v00, const VectorT< Scalar, 3 > &_v01, const VectorT< Scalar, 3 > &_v10, const VectorT< Scalar, 3 > &_v11, VectorT< Scalar, 3 > *_min_v0=0, VectorT< Scalar, 3 > *_min_v1=0, bool _fastApprox=false) |
| squared distance of lines (_v00, _v01) and (_v10, _v11) | |
| template<typename Scalar > | |
| bool | circumCenter (const VectorT< Scalar, 3 > &_v0, const VectorT< Scalar, 3 > &_v1, const VectorT< Scalar, 3 > &_v2, VectorT< Scalar, 3 > &_result) |
| return circumcenter of triangle (_v0,_v1,_v2) | |
| template<typename Scalar > | |
| Scalar | circumRadiusSquared (const VectorT< Scalar, 3 > &_v0, const VectorT< Scalar, 3 > &_v1, const VectorT< Scalar, 3 > &_v2) |
| return squared radius of circumcircle of triangle (_v0,_v1,_v2) | |
| template<typename Scalar > | |
| bool | minSphere (const VectorT< Scalar, 3 > &_v0, const VectorT< Scalar, 3 > &_v1, const VectorT< Scalar, 3 > &_v2, VectorT< Scalar, 3 > &_center, Scalar &_radius) |
| construct min. enclosing sphere | |
| template<typename Scalar > | |
| Scalar | minRadiusSquared (const VectorT< Scalar, 3 > &_v0, const VectorT< Scalar, 3 > &_v1, const VectorT< Scalar, 3 > &_v2) |
| return squared radius of min. enclosing circle of triangle (_v0,_v1,_v2) | |
| template<typename Scalar > | |
| bool | circumCenter (const VectorT< Scalar, 3 > &_v0, const VectorT< Scalar, 3 > &_v1, const VectorT< Scalar, 3 > &_v2, const VectorT< Scalar, 3 > &_v3, VectorT< Scalar, 3 > &_result) |
| return circumcenter of tetrahedron (_v0,_v1,_v2,_v3) | |
| template<typename Scalar > | |
| VectorT< Scalar, 3 > | perpendicular (const VectorT< Scalar, 3 > &_v) |
| find a vector that's perpendicular to _v | |
| template<typename Scalar > | |
| bool | baryCoord (const VectorT< Scalar, 2 > &_p, const VectorT< Scalar, 2 > &_u, const VectorT< Scalar, 2 > &_v, const VectorT< Scalar, 2 > &_w, VectorT< Scalar, 3 > &_result) |
| barycentric coord of _p w.r.t. (_u,_v,_w) in 2D | |
| template<typename Scalar > | |
| bool | lineIntersection (const VectorT< Scalar, 2 > &_v0, const VectorT< Scalar, 2 > &_v1, const VectorT< Scalar, 2 > &_v2, const VectorT< Scalar, 2 > &_v3, Scalar &_t1, Scalar &_t2) |
| intersect two line segments (_v0,_v1) and (_v2,_v3) | |
| template<typename Scalar > | |
| bool | circumCenter (const VectorT< Scalar, 2 > &_v0, const VectorT< Scalar, 2 > &_v1, const VectorT< Scalar, 2 > &_v2, VectorT< Scalar, 2 > &_result) |
| return circumcenter of triangle (_v0,_v1,_v2) | |
| template<typename Scalar , int N> | |
| Scalar | aspectRatio (const VectorT< Scalar, N > &_v0, const VectorT< Scalar, N > &_v1, const VectorT< Scalar, N > &_v2) |
| return aspect ratio of triangle | |
| template<typename Scalar , int N> | |
| Scalar | roundness (const VectorT< Scalar, N > &_v0, const VectorT< Scalar, N > &_v1, const VectorT< Scalar, N > &_v2) |
| return roundness of triangle: 1=equilateral, 0=colinear | |
| template<class Vec > | |
| Vec::value_type | triangleArea (const Vec &_v0, const Vec &_v1, const Vec &_v2) |
| return area of triangle (_v0, _v1, _v2) | |
| template<class Vec > | |
| Vec::value_type | distPointLine (const Vec &_p, const Vec &_v0, const Vec &_v1, Vec *_min_v=0) |
| distance from point _p to line (_v0,_v1) | |
| template<class Vec > | |
| Vec::value_type | distPointTriangle (const Vec &_p, const Vec &_v0, const Vec &_v1, const Vec &_v2, Vec &_nearestPoint) |
| distance from point _p to triangle (_v0, _v1, _v2) | |
| template<typename Scalar > | |
| Scalar | distLineLine (const VectorT< Scalar, 3 > &_v00, const VectorT< Scalar, 3 > &_v01, const VectorT< Scalar, 3 > &_v10, const VectorT< Scalar, 3 > &_v11, VectorT< Scalar, 3 > *_min_v0=0, VectorT< Scalar, 3 > *_min_v1=0) |
| distance of lines (_v00, _v01) and (_v10, _v11) | |
| template<typename Scalar > | |
| Scalar | minRadius (const VectorT< Scalar, 3 > &_v0, const VectorT< Scalar, 3 > &_v1, const VectorT< Scalar, 3 > &_v2) |
| return radius of min. enclosing circle of triangle (_v0,_v1,_v2) | |
| template<typename Scalar > | |
| Scalar | circumRadius (const VectorT< Scalar, 3 > &_v0, const VectorT< Scalar, 3 > &_v1, const VectorT< Scalar, 3 > &_v2) |
| return radius of circumcircle of triangle (_v0,_v1,_v2) | |
| template<typename Scalar > | |
| Scalar | circumRadiusSquared (const VectorT< Scalar, 3 > &_v0, const VectorT< Scalar, 3 > &_v1, const VectorT< Scalar, 3 > &_v2, const VectorT< Scalar, 3 > &_v3) |
| return squared radius of circumcircle of tetrahedron (_v0,_v1,_v2,_v3) | |
| template<typename Scalar > | |
| Scalar | circumRadius (const VectorT< Scalar, 3 > &_v0, const VectorT< Scalar, 3 > &_v1, const VectorT< Scalar, 3 > &_v2, const VectorT< Scalar, 3 > &_v3) |
| return radius of circumcircle of tetrahedron (_v0,_v1,_v2,_v3) | |
| template<typename Scalar > | |
| bool | isInTriangle (const VectorT< Scalar, 2 > &_p, const VectorT< Scalar, 2 > &_u, const VectorT< Scalar, 2 > &_v, const VectorT< Scalar, 2 > &_w) |
| is point _p in triangle (_v0,_v1,_v2)? | |
| template<typename Scalar > | |
| Scalar | pointLineOrientation (const VectorT< Scalar, 2 > &_p, const VectorT< Scalar, 2 > &_v0, const VectorT< Scalar, 2 > &_v1) |
| orientation of point _p w.r.t. line through _v0,_v1 | |
| template<typename Scalar > | |
| bool | isCCW (const VectorT< Scalar, 2 > &_v0, const VectorT< Scalar, 2 > &_v1, const VectorT< Scalar, 2 > &_v2) |
| are 3 vertices in counterclockwise order? | |
| template<typename Scalar > | |
| bool | isCW (const VectorT< Scalar, 2 > &_v0, const VectorT< Scalar, 2 > &_v1, const VectorT< Scalar, 2 > &_v2) |
| are 3 vertices in clockwise order? | |
This namespace holds some geometric types as well as geometry algorithms.
| bool ACG::Geometry::baryCoord | ( | const VectorT< Scalar, 3 > & | _p, | |
| const VectorT< Scalar, 3 > & | _u, | |||
| const VectorT< Scalar, 3 > & | _v, | |||
| const VectorT< Scalar, 3 > & | _w, | |||
| VectorT< Scalar, 3 > & | _result | |||
| ) | [inline] |
barycentric coord of _p w.r.t. (_u,_v,_w) in 3D _p has to lie in plane (_u,_v,_w)
Referenced by isInTriangle().
Project OpenFlipper,
© Computer Graphics Group, RWTH Aachen.
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