Perspective Line. More...

Inheritance diagram for PerspLine:

Collaboration diagram for PerspLine:

Public Member Functions
constexpr	PerspLine (std::array< int64_t, 3 > coord)
	Construct a new Persp Line object.

constexpr auto	perp () const -> PerspPoint
	Pole.

Public Member Functions inherited from PgObject< PerspLine, PerspPoint >
constexpr	PgObject (std::array< int64_t, 3 > coord)
	Construct a new Pg Object object.

constexpr auto	aux () const -> PerspPoint
	Return the dual object (auxiliary line/point).

constexpr auto	dot (const PerspPoint &other) const -> int64_t
	Dot product with the dual object.

constexpr auto	incident (const PerspPoint &other) const -> bool
	Check incidence with the dual object.

constexpr auto	meet (const PerspLine &rhs) const -> PerspPoint
	Meet (intersection) with another point to form a line.

Additional Inherited Members
Public Types inherited from PgObject< PerspLine, PerspPoint >
using	Dual = PerspPoint

Static Public Member Functions inherited from PgObject< PerspLine, PerspPoint >
static constexpr auto	parametrize (const int64_t &lambda_val, const PerspLine &pt_p, const int64_t &mu_val, const PerspLine &pt_q) -> PerspLine
	Homogeneous parametrization of point or line.

Public Attributes inherited from PgObject< PerspLine, PerspPoint >
std::array< int64_t, 3 >	coord

Detailed Description

Perspective Line.

Constructor & Destructor Documentation

constexpr PerspLine::PerspLine ( std::array< int64_t, 3 > coord )

inlineexplicitconstexpr

Construct a new Persp Line object.

Parameters

[in] coord Homogeneous coordinate

constexpr auto PerspLine::perp ( ) const -> PerspPoint

constexpr

Pole.

\[ l^\perp = \operatorname{parametrize}(l \cdot I_{\mathrm{re}},\; I_{\mathrm{re}},\; l \cdot I_{\mathrm{im}},\; I_{\mathrm{im}}) \]

The documentation for this class was generated from the following file: