Frenet frame generator. More...

#include <C:/Users/Andres/source/repos/casm_viewer/external/tinc/external/allolib/include/al/spatial/al_Curve.hpp>

Public Member Functions
	Frenet (const Vec3 &p2=Vec3(0, -0.01, 0), const Vec3 &p1=Vec3(0, 0, 0))

const Vec3 &	point () const
	Get point one ahead of currently stored frame.

const Vec3 &	db () const
	Get backward first difference.

const Vec3 &	df () const
	Get forward first difference.

Vec3	d2 () const
	Get (central) second difference.

void	operator() (const Vec3 &p0)
	Compute Frenet frame one point back from input point.

template<bool NormalizeT, bool NormalizeN, bool NormalizeB, bool ComputeN, bool ComputeB>
void	next (const Vec3 &p0)
	Compute Frenet frame one point back from input point. More...

void	init (const Vec3 &p2, const Vec3 &p1)
	(Re)initialize with previous two points

Public Attributes
Vec3	T
	Tangent vector of current frame.

Vec3	N
	Normal vector of current frame.

Vec3	B
	Binormal vector of current frame.

Protected Attributes
Vec3	mp1

Vec3	mdb

Vec3	mdf

Detailed Description

template<class Vec3>
struct al::Frenet< Vec3 >

Frenet frame generator.

This class generates a sequence of Frenet frames given a corresponding sequence of discrete points along a curve. A Frenet frame is computed from a run of three consecutive points and corresponds to the middle point. A Frenet frame is an orthonormal reference frame describing the local tangent (T), normal (N), and binormal (B) unit vectors of a curve. The frame is based on a right-handed coordinate system so that T = N x B, N = B x T, and B = T x N.

Template Parameters

Vec3	3-vector type

Definition at line 75 of file al_Curve.hpp.

Constructor & Destructor Documentation

◆ Frenet()

template<class Vec3 >

al::Frenet< Vec3 >::Frenet	(	const Vec3 &	p2 = `Vec3(0, -0.01, 0)`,
		const Vec3 &	p1 = `Vec3(0, 0, 0)`
	)

inline

Parameters

[in]	p2	two points back
[in]	p1	one point back

Definition at line 82 of file al_Curve.hpp.

Member Function Documentation

◆ next()

template<class Vec3 >

template<bool NormalizeT, bool NormalizeN, bool NormalizeB, bool ComputeN, bool ComputeB>

void al::Frenet< Vec3 >::next ( const Vec3 & p0 )

inline

Compute Frenet frame one point back from input point.

For best results, avoid runs of 3 or more colinear points and 2 or more duplicate points. Colinear points result in ambiguous normal and binormal vectors. Duplicated points make the first derivative undefined. Both of these situations are guaranteed to wreak numerical havok.

Definition at line 109 of file al_Curve.hpp.

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

al_Curve.hpp

Public Member Functions

Public Attributes