MR::TriPoint< T > Struct Template Reference

encodes a point inside a triangle using barycentric coordinates More...

#include <MRTriPoint.h>

Public Member Functions
constexpr	TriPoint () noexcept
	TriPoint (NoInit) noexcept
constexpr	TriPoint (T a, T b) noexcept
template<typename U >
constexpr	TriPoint (const TriPoint< U > &s)
	TriPoint (const Vector3< T > &p, const Vector3< T > &v0, const Vector3< T > &v1, const Vector3< T > &v2)
	given a point coordinates and triangle (v0,v1,v2) computes barycentric coordinates of the point
	TriPoint (const Vector3< T > &p, const Vector3< T > &v1, const Vector3< T > &v2)
	given a point coordinates and triangle (0,v1,v2) computes barycentric coordinates of the point
template<typename U >
U	interpolate (const U &v0, const U &v1, const U &v2) const
	given three values in three vertices, computes interpolated value at this barycentric coordinates
TriPoint	lnext () const
	represents the same point relative to next edge in the same triangle
constexpr int	inVertex () const
	returns [0,2] if the point is in a vertex or -1 otherwise
constexpr int	onEdge () const
constexpr bool	operator== (const TriPoint &rhs) const =default
	returns true if two points have equal (a,b) representation

Public Attributes
T	a
	a in [0,1], a=0 => point is on [v2,v0] edge, a=1 => point is in v1
T	b
	b in [0,1], b=0 => point is on [v0,v1] edge, b=1 => point is in v2

Static Public Attributes
static constexpr auto	eps = SegmPoint<T>::eps

Detailed Description

template<typename T>
struct MR::TriPoint< T >

encodes a point inside a triangle using barycentric coordinates

Notations used below: v0, v1, v2 - points of the triangle

Constructor & Destructor Documentation

TriPoint() [1/6]

template<typename T >

MR::TriPoint< T >::TriPoint ( )

inlineconstexprnoexcept

TriPoint() [2/6]

template<typename T >

MR::TriPoint< T >::TriPoint ( NoInit )

inlineexplicitnoexcept

TriPoint() [3/6]

template<typename T >

MR::TriPoint< T >::TriPoint ( T a, T b )

inlineconstexprnoexcept

TriPoint() [4/6]

template<typename T >

template<typename U >

MR::TriPoint< T >::TriPoint ( const TriPoint< U > & s )

inlineconstexpr

TriPoint() [5/6]

template<typename T >

MR::TriPoint< T >::TriPoint ( const Vector3< T > & p, const Vector3< T > & v0, const Vector3< T > & v1, const Vector3< T > & v2 )

inline

given a point coordinates and triangle (v0,v1,v2) computes barycentric coordinates of the point

TriPoint() [6/6]

template<typename T >

MR::TriPoint< T >::TriPoint	(	const Vector3< T > &	p,
		const Vector3< T > &	v1,
		const Vector3< T > &	v2 )

given a point coordinates and triangle (0,v1,v2) computes barycentric coordinates of the point

Member Function Documentation

interpolate()

template<typename T >

template<typename U >

U MR::TriPoint< T >::interpolate ( const U & v0, const U & v1, const U & v2 ) const

inline

given three values in three vertices, computes interpolated value at this barycentric coordinates

inVertex()

template<typename T >

int MR::TriPoint< T >::inVertex ( ) const

constexpr

returns [0,2] if the point is in a vertex or -1 otherwise

lnext()

template<typename T >

TriPoint MR::TriPoint< T >::lnext ( ) const

inlinenodiscard

represents the same point relative to next edge in the same triangle

onEdge()

template<typename T >

int MR::TriPoint< T >::onEdge ( ) const

constexpr

returns [0,2] if the point is on edge or -1 otherwise: 0 means edge [v1,v2]; 1 means edge [v2,v0]; 2 means edge [v0,v1]

operator==()

template<typename T >

bool MR::TriPoint< T >::operator== ( const TriPoint< T > & rhs ) const

nodiscardconstexprdefault

returns true if two points have equal (a,b) representation

Member Data Documentation

a

template<typename T >

T MR::TriPoint< T >::a

a in [0,1], a=0 => point is on [v2,v0] edge, a=1 => point is in v1

barycentric coordinates: a+b in [0,1], a+b=0 => point is in v0, a+b=1 => point is on [v1,v2] edge

b

template<typename T >

T MR::TriPoint< T >::b

b in [0,1], b=0 => point is on [v0,v1] edge, b=1 => point is in v2

eps

template<typename T >

auto MR::TriPoint< T >::eps = SegmPoint<T>::eps

staticconstexpr

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

• MRMesh/MRTriPoint.h