Classes
class	BBox

class	Plane

class	Point

class	Tensor

class	Transform

class	Vector

Functions
SCISHARE void	Pio (Piostream &, BBox &)

double	distance_to_line2 (const Point &p, const Point &a, const Point &b, const double epsilon)

void	distance_to_line2_aux (Point &result, const Point &p, const Point &a, const Point &b, const double epsilon)

void	distance_to_line2_aux (Point &result, int &node, const Point &p, const Point &a, const Point &b, const double epsilon)

void	closest_point_on_tri (Point &result, const Point &orig, const Point &p0, const Point &p1, const Point &p2, const double epsilon)

void	closest_point_on_tri (Point &result, int &edge, int &node, const Point &orig, const Point &p0, const Point &p1, const Point &p2, const double epsilon)

void	est_closest_point_on_quad (Point &result, const Point &orig, const Point &p0, const Point &p1, const Point &p2, const Point &p3, const double epsilon)

double	RayPlaneIntersection (const Point &p, const Vector &dir, const Point &p0, const Vector &pn, const double epsilon)

bool	RayTriangleIntersection (double &t, double &u, double &v, bool backface_cull, const Point &orig, const Vector &dir, const Point &p0, const Point &p1, const Point &p2, const double epsilon)

bool	closest_line_to_line (double &s, double &t, const Point &a0, const Point &a1, const Point &b0, const Point &b1, const double epsilon)

void	uniform_sample_triangle (Point &p, const Point &p0, const Point &p1, const Point &p2, MusilRNG &rng)

void	uniform_sample_tetrahedra (Point &p, const Point &p0, const Point &p1, const Point &p2, const Point &p3, MusilRNG &rng)

double	tetrahedra_volume (const Point &p0, const Point &p1, const Point &p2, const Point &p3)

void	TriTriIntersection (const Point &A0, const Point &A1, const Point &A2, const Point &B0, const Point &B1, const Point &B2, std::vector< Point > &results)

SCISHARE bool	operator== (const Point &p1, const Point &p2)

SCISHARE bool	operator!= (const Point &p1, const Point &p2)

SCISHARE Point	AffineCombination (const Point &, double, const Point &, double, const Point &, double, const Point &, double)

SCISHARE Point	AffineCombination (const Point &, double, const Point &, double, const Point &, double)

SCISHARE Point	AffineCombination (const Point &, double, const Point &, double)

SCISHARE void	Pio (Piostream &, Point &)

Point	operator* (double d, const Point &p)

Point	operator+ (const Vector &v, const Point &p)

SCISHARE std::ostream &	operator<< (std::ostream &os, const Point &p)

SCISHARE std::istream &	operator>> (std::istream &os, Point &p)

SCISHARE Point	centroid (const std::vector< Point > &points)

Point	Min (const Point &p1, const Point &p2)

Point	Max (const Point &p1, const Point &p2)

double	Dot (const Vector &v1, const Vector &v2)

double	Dot (const Vector &v, const Point &p)

Point	Interpolate (const Point &v1, const Point &v2, double weight)

double	Dot (const Point &p, const Vector &v)

double	Dot (const Point &p1, const Point &p2)

SCISHARE void	Pio (Piostream &, Tensor &)

bool	operator< (Tensor t1, Tensor t2)

bool	operator<= (Tensor t1, Tensor t2)

bool	operator> (Tensor t1, Tensor t2)

bool	operator>= (Tensor t1, Tensor t2)

Tensor	operator* (double d, const Tensor &t)

SCISHARE std::ostream &	operator<< (std::ostream &os, const Tensor &t)

SCISHARE std::istream &	operator>> (std::istream &os, Tensor &t)

SCISHARE const TypeDescription *	get_type_description (Tensor *)

SCISHARE Point	operator* (Transform &t, const Point &d)

SCISHARE Vector	operator* (Transform &t, const Vector &d)

SCISHARE Tensor	operator* (const Transform &t, const Tensor &d)

SCISHARE Tensor	operator* (const Tensor &d, const Transform &t)

SCISHARE void	Pio (Piostream &, Transform *&)

SCISHARE void	Pio_old (Piostream &, Transform &)

SCISHARE const TypeDescription *	get_type_description (Transform *)

template<typename T >
const T &	Min (const T &t1, const T &t2, const T &t3)

template<typename T >
const T &	Max (const T &t1, const T &t2, const T &t3)

SCISHARE bool	operator== (const Vector &v1, const Vector &v2)

SCISHARE bool	operator!= (const Vector &v1, const Vector &v2)

SCISHARE std::ostream &	operator<< (std::ostream &os, const Vector &p)

SCISHARE std::istream &	operator>> (std::istream &os, Vector &p)

Vector	operator* (const double s, const Vector &v)

Vector	Min (const Vector &v1, const Vector &v2)

Vector	Max (const Vector &v1, const Vector &v2)

SCISHARE void	Pio (Piostream &, Vector &)

bool	operator< (Vector v1, Vector v2)

bool	operator<= (Vector v1, Vector v2)

bool	operator> (Vector v1, Vector v2)

bool	operator>= (Vector v1, Vector v2)

Vector	Abs (const Vector &v)

Vector	Cross (const Vector &v1, const Vector &v2)

Vector	Interpolate (const Vector &v1, const Vector &v2, double weight)

SCISHARE const TypeDescription *	get_type_description (Vector *)

Function Documentation

Vector SCIRun::Core::Geometry::Abs ( const Vector & v )

inline

SCISHARE Point SCIRun::Core::Geometry::AffineCombination	(	const Point &	,
		double	,
		const Point &	,
		double	,
		const Point &	,
		double	,
		const Point &	,
		double
	)

SCISHARE Point SCIRun::Core::Geometry::AffineCombination	(	const Point &	,
		double	,
		const Point &	,
		double	,
		const Point &	,
		double
	)

SCISHARE Point SCIRun::Core::Geometry::AffineCombination	(	const Point &	,
		double	,
		const Point &	,
		double
	)

SCISHARE Point SCIRun::Core::Geometry::centroid ( const std::vector< Point > & points )

SCISHARE bool closest_line_to_line	(	double &	s,
		double &	t,
		const Point &	A0,
		const Point &	A1,
		const Point &	B0,
		const Point &	B1,
		const double	epsilon = `1e-12`
	)

Compute s and t such that the distance between A0 + s * (A1 - AO) and B0 + t * (B1 - B0) is minimal. Return false if the lines are parallel, true otherwise.

SCISHARE void closest_point_on_tri	(	Point &	result,
		const Point &	P,
		const Point &	A,
		const Point &	B,
		const Point &	C,
		const double	epsilon = `1e-12`
	)

Compute the point on the triangle closest to the given point. The distance to the triangle will be (P - result).length())

SCISHARE void closest_point_on_tri	(	Point &	result,
		int &	edge,
		int &	node,
		const Point &	orig,
		const Point &	p0,
		const Point &	p1,
		const Point &	p2,
		const double	epsilon
	)

Vector SCIRun::Core::Geometry::Cross	(	const Vector &	v1,
		const Vector &	v2
	)

inline

SCISHARE double distance_to_line2	(	const Point &	p,
		const Point &	a,
		const Point &	b,
		const double	epsilon = `1e-12`
	)

Compute the distance squared from the point to the given line, where the line is specified by two end points. This function actually computes the distance to the line segment between the given points and not to the line itself.

SCISHARE void distance_to_line2_aux	(	Point &	result,
		const Point &	p,
		const Point &	a,
		const Point &	b,
		const double	epsilon
	)

SCISHARE void distance_to_line2_aux	(	Point &	result,
		int &	node,
		const Point &	p,
		const Point &	a,
		const Point &	b,
		const double	epsilon
	)

double SCIRun::Core::Geometry::Dot	(	const Vector &	v1,
		const Vector &	v2
	)

inline

double SCIRun::Core::Geometry::Dot	(	const Vector &	v,
		const Point &	p
	)

inline

double SCIRun::Core::Geometry::Dot	(	const Point &	p,
		const Vector &	v
	)

inline

double SCIRun::Core::Geometry::Dot	(	const Point &	p1,
		const Point &	p2
	)

inline

SCISHARE void est_closest_point_on_quad	(	Point &	result,
		const Point &	P,
		const Point &	A,
		const Point &	B,
		const Point &	C,
		const Point &	D,
		const double	epsilon = `1e-12`
	)

This is only an estimate for an element that is not flat, it is exact for a flat element.

SCISHARE const TypeDescription* SCIRun::Core::Geometry::get_type_description ( Transform * )

const TypeDescription * get_type_description ( Tensor * )

const TypeDescription * get_type_description ( Vector * )

Point SCIRun::Core::Geometry::Interpolate	(	const Point &	v1,
		const Point &	v2,
		double	weight
	)

inline

Vector SCIRun::Core::Geometry::Interpolate	(	const Vector &	v1,
		const Vector &	v2,
		double	weight
	)

inline

const T& SCIRun::Core::Geometry::Max	(	const T &	t1,
		const T &	t2,
		const T &	t3
	)

inline

Point SCIRun::Core::Geometry::Max	(	const Point &	p1,
		const Point &	p2
	)

inline

Vector SCIRun::Core::Geometry::Max	(	const Vector &	v1,
		const Vector &	v2
	)

inline

const T& SCIRun::Core::Geometry::Min	(	const T &	t1,
		const T &	t2,
		const T &	t3
	)

inline

Todo:: move to math header

Point SCIRun::Core::Geometry::Min	(	const Point &	p1,
		const Point &	p2
	)

inline

Vector SCIRun::Core::Geometry::Min	(	const Vector &	v1,
		const Vector &	v2
	)

inline

bool operator!=	(	const Point &	p1,
		const Point &	p2
	)

bool operator!=	(	const Vector &	v1,
		const Vector &	v2
	)

Point operator*	(	Transform &	t,
		const Point &	d
	)

Vector operator*	(	Transform &	t,
		const Vector &	d
	)

Tensor SCIRun::Core::Geometry::operator*	(	double	d,
		const Tensor &	t
	)

inline

Tensor operator*	(	const Transform &	t,
		const Tensor &	d
	)

Tensor operator*	(	const Tensor &	d,
		const Transform &	t
	)

Point SCIRun::Core::Geometry::operator*	(	double	d,
		const Point &	p
	)

inline

Vector SCIRun::Core::Geometry::operator*	(	const double	s,
		const Vector &	v
	)

inline

Point SCIRun::Core::Geometry::operator+	(	const Vector &	v,
		const Point &	p
	)

inline

bool SCIRun::Core::Geometry::operator<	(	Tensor	t1,
		Tensor	t2
	)

inline

bool SCIRun::Core::Geometry::operator<	(	Vector	v1,
		Vector	v2
	)

inline

std::ostream & operator<<	(	std::ostream &	os,
		const Vector &	p
	)

SCISHARE std::ostream& SCIRun::Core::Geometry::operator<<	(	std::ostream &	os,
		const Tensor &	t
	)

std::ostream & operator<<	(	std::ostream &	os,
		const Point &	p
	)

bool SCIRun::Core::Geometry::operator<=	(	Tensor	t1,
		Tensor	t2
	)

inline

bool SCIRun::Core::Geometry::operator<=	(	Vector	v1,
		Vector	v2
	)

inline

bool operator==	(	const Point &	p1,
		const Point &	p2
	)

bool operator==	(	const Vector &	v1,
		const Vector &	v2
	)

bool SCIRun::Core::Geometry::operator>	(	Tensor	t1,
		Tensor	t2
	)

inline

bool SCIRun::Core::Geometry::operator>	(	Vector	v1,
		Vector	v2
	)

inline

bool SCIRun::Core::Geometry::operator>=	(	Tensor	t1,
		Tensor	t2
	)

inline

bool SCIRun::Core::Geometry::operator>=	(	Vector	v1,
		Vector	v2
	)

inline

SCISHARE std::istream& SCIRun::Core::Geometry::operator>>	(	std::istream &	os,
		Vector &	p
	)

SCISHARE std::istream& SCIRun::Core::Geometry::operator>>	(	std::istream &	os,
		Tensor &	t
	)

std::istream & operator>>	(	std::istream &	os,
		Point &	p
	)

void Pio	(	Piostream &	stream,
		Tensor &	t
	)

void Pio	(	Piostream &	stream,
		Transform *&	obj
	)

void Pio	(	Piostream &	stream,
		Point &	p
	)

void Pio	(	Piostream &	stream,
		Vector &	p
	)

SCISHARE void SCIRun::Core::Geometry::Pio	(	Piostream &	,
		BBox &
	)

void Pio_old	(	Piostream &	stream,
		Transform &	obj
	)

SCISHARE double RayPlaneIntersection	(	const Point &	p,
		const Vector &	dir,
		const Point &	p0,
		const Vector &	pn,
		const double	epsilon
	)

SCISHARE bool RayTriangleIntersection	(	double &	t,
		double &	u,
		double &	v,
		bool	backface_cull,
		const Point &	orig,
		const Vector &	dir,
		const Point &	p0,
		const Point &	p1,
		const Point &	p2,
		const double	epsilon
	)

SCISHARE double tetrahedra_volume	(	const Point &	p0,
		const Point &	p1,
		const Point &	p2,
		const Point &	p3
	)

SCISHARE void TriTriIntersection	(	const Point &	A0,
		const Point &	A1,
		const Point &	A2,
		const Point &	B0,
		const Point &	B1,
		const Point &	B2,
		std::vector< Point > &	results
	)

SCISHARE void uniform_sample_tetrahedra	(	Point &	p,
		const Point &	p0,
		const Point &	p1,
		const Point &	p2,
		const Point &	p3,
		MusilRNG &	rng
	)

SCISHARE void uniform_sample_triangle	(	Point &	p,
		const Point &	p0,
		const Point &	p1,
		const Point &	p2,
		MusilRNG &	rng
	)

Classes

Functions

Function Documentation