Core projective geometry object template (pg_object, PgObject, PgPoint, PgLine). More...
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Classes | |
| struct | fun::pg_object< _K, Self, DualType > |
| Generic projective geometry object (value-type templated) More... | |
| struct | PgObject< Point, Line > |
| Projective Point/Line (int64_t specialization) More... | |
| class | PgPoint |
| PG Point. More... | |
| class | PgLine |
| PG Line. More... | |
Namespaces | |
| namespace | fun |
Functions | |
| constexpr auto | dot (const std::array< int64_t, 3 > &pt_a, const std::array< int64_t, 3 > &pt_b) -> int64_t |
| Dot product of two homogeneous 3-vectors. | |
| constexpr auto | cross (const std::array< int64_t, 3 > &pt_a, const std::array< int64_t, 3 > &pt_b) -> std::array< int64_t, 3 > |
| Cross product of two homogeneous 3-vectors. | |
| constexpr auto | plckr (const int64_t &lambda, const std::array< int64_t, 3 > &pt_p, const int64_t &mu, const std::array< int64_t, 3 > &pt_q) -> std::array< int64_t, 3 > |
| Homogeneous parametrization of point or line. | |
Detailed Description
Function Documentation
◆ cross()
|
constexpr |
Cross product of two homogeneous 3-vectors.
\[ a \times b = (a_y b_z - a_z b_y,\; a_z b_x - a_x b_z,\; a_x b_y - a_y b_x)^T \]
- Parameters
-
[in] pt_a First vector [in] pt_b Second vector
- Returns
- std::array<int64_t, 3>
◆ dot()
|
constexpr |
Dot product of two homogeneous 3-vectors.
\[ a \cdot b = a_x b_x + a_y b_y + a_z b_z \]
- Parameters
-
[in] pt_a First vector [in] pt_b Second vector
- Returns
- int64_t
◆ plckr()
|
constexpr |
Homogeneous parametrization of point or line.
- Parameters
-
[in] lambda [in] pt_p [in] mu \[ \lambda p + \mu q \]
[in] pt_q
- Returns
- std::array<int64_t, 3>
