#include <kigtransform.h>

Public Member Functions
	Transformation (double data[3][3], bool ishomothety)

	~Transformation ()

const Coordinate	apply (const double x0, const double x1, const double x2) const

const Coordinate	apply (const Coordinate &c) const

double	apply (double length) const

const Coordinate	apply0 (const Coordinate &c) const

const Coordinate	apply2by2only (const Coordinate &c) const

double	data (int r, int c) const

double	getAffineDeterminant () const

double	getProjectiveIndicator (const Coordinate &c) const

double	getRotationAngle () const

const Transformation	inverse (bool &valid) const

bool	isAffine () const

bool	isHomothetic () const

Static Public Member Functions
static const Transformation	affinityGI3P (const std::vector< Coordinate > &FromPoints, const std::vector< Coordinate > &ToPoints, bool &valid)

static const Transformation	castShadow (const Coordinate &ls, const LineData &d)

static const Transformation	harmonicHomology (const Coordinate &center, const LineData &axis)

static const Transformation	identity ()

static const Transformation	lineReflection (const LineData &l)

static const Transformation	pointReflection (const Coordinate &c)

static const Transformation	projectiveRotation (double alpha, const Coordinate &d, const Coordinate &t)

static const Transformation	projectivityGI4P (const std::vector< Coordinate > &FromPoints, const std::vector< Coordinate > &ToPoints, bool &valid)

static const Transformation	rotation (double angle, const Coordinate &center=Coordinate())

static const Transformation	scalingOverLine (double factor, const LineData &l)

static const Transformation	scalingOverPoint (double factor, const Coordinate &center=Coordinate())

static const Transformation	similitude (const Coordinate &center, double theta, double factor)

static const Transformation	translation (const Coordinate &c)

Friends
const Transformation	operator* (const Transformation &a, const Transformation &b)

bool	operator== (const Transformation &lhs, const Transformation &rhs)

Detailed Description

Class representing a transformation.

More specifically, this class represents a pretty generic 2-dimensional transformation. Various common transformations can be used. Construct a Transformation by using one of its static members, and use it either with its Transformation::apply method, or the ObjectImp::transform method.

Definition at line 37 of file kigtransform.h.

Constructor & Destructor Documentation

Transformation::~Transformation ( )

Definition at line 760 of file kigtransform.cpp.

Transformation::Transformation	(	double	data[3][3],
		bool	ishomothety
	)

Definition at line 772 of file kigtransform.cpp.

Member Function Documentation

const Transformation Transformation::affinityGI3P	(	const std::vector< Coordinate > &	FromPoints,
		const std::vector< Coordinate > &	ToPoints,
		bool &	valid
	)

static

Affinity given the image of 3 points.

Returns the unique affinity that transforms 3 given points into 3 given points.

Definition at line 391 of file kigtransform.cpp.

const Coordinate Transformation::apply	(	const double	x0,
		const double	x1,
		const double	x2
	)		const

Apply this Tranformation.

Apply this transformation to the Coordinate c. Can return an invalid Coordinate. apply0 assumes that c indicates a point at infinity, having [0, c.x, c.y] as homogeneous coordinates

Definition at line 611 of file kigtransform.cpp.

const Coordinate Transformation::apply ( const Coordinate & c ) const

Definition at line 633 of file kigtransform.cpp.

double Transformation::apply ( double length ) const

a homothetic transformation maintains the ratio's of lengths.

This means that every length is multiplied by a fixed number when it is projected... This function does that calculation for you..

Definition at line 764 of file kigtransform.cpp.

const Coordinate Transformation::apply0 ( const Coordinate & c ) const

Definition at line 653 of file kigtransform.cpp.

const Coordinate Transformation::apply2by2only ( const Coordinate & c ) const

Definition at line 723 of file kigtransform.cpp.

const Transformation Transformation::castShadow	(	const Coordinate &	ls,
		const LineData &	d
	)

static

Cast Shadow.

Returns a Transformation that transforms points in such a way that it appears to cast a shadow, given a certain light source, and a line indicating a plane.

Definition at line 550 of file kigtransform.cpp.

double Transformation::data	(	int	r,
		int	c
	)		const

Definition at line 732 of file kigtransform.cpp.

double Transformation::getAffineDeterminant ( ) const

Definition at line 711 of file kigtransform.cpp.

double Transformation::getProjectiveIndicator ( const Coordinate & c ) const

Definition at line 703 of file kigtransform.cpp.

double Transformation::getRotationAngle ( ) const

Definition at line 718 of file kigtransform.cpp.

const Transformation Transformation::harmonicHomology	(	const Coordinate &	center,
		const LineData &	axis
	)

static

Harmonic Homology.

Returns a Transformation that transforms points in such a way that it appears to cast a shadow, given a certain light source (center), and a line (axis) indicating a plane.

Definition at line 344 of file kigtransform.cpp.

const Transformation Transformation::identity ( )

static

Identity.

Returns the Identity Transformation, i.e. a Transformation that doesn't do anything.

Definition at line 250 of file kigtransform.cpp.

const Transformation Transformation::inverse ( bool & valid ) const

The inverse Transformation.

Returns the inverse Transformation of this Transformation.

Definition at line 737 of file kigtransform.cpp.

bool Transformation::isAffine ( ) const

Definition at line 686 of file kigtransform.cpp.

bool Transformation::isHomothetic ( ) const

Returns whether this is a homothetic (affine) transformation.

Definition at line 681 of file kigtransform.cpp.

const Transformation Transformation::lineReflection ( const LineData & l )

static

Line Reflection.

Returns a reflection over a line

Note: This equals scaling( -1, l );

Definition at line 316 of file kigtransform.cpp.

const Transformation Transformation::pointReflection ( const Coordinate & c )

static

Point Reflection.

Returns a reflection over a point

Note: This equals scaling( -1, c );

Definition at line 285 of file kigtransform.cpp.

const Transformation Transformation::projectiveRotation	(	double	alpha,
		const Coordinate &	d,
		const Coordinate &	t
	)

static

Projective Rotation.

This is really only a test example of a projective non-affine transformation...

Definition at line 591 of file kigtransform.cpp.

const Transformation Transformation::projectivityGI4P	(	const std::vector< Coordinate > &	FromPoints,
		const std::vector< Coordinate > &	ToPoints,
		bool &	valid
	)

static

Projectivity given the image of 4 points.

Returns the unique projectivity that transforms 4 given points into 4 given points.

Definition at line 482 of file kigtransform.cpp.

const Transformation Transformation::rotation	(	double	angle,
		const Coordinate &	center = `Coordinate()`
	)

static

Rotation.

Returns a Rotation by a certain angle, around a certain center.

Definition at line 658 of file kigtransform.cpp.

const Transformation Transformation::scalingOverLine	(	double	factor,
		const LineData &	l
	)

static

Scaling over Line.

Returns a Transformation that scales points by a certain factor with relation to a line. Note: This is not a homothetic transformation.

Definition at line 324 of file kigtransform.cpp.

const Transformation Transformation::scalingOverPoint	(	double	factor,
		const Coordinate &	center = `Coordinate()`
	)

static

Scaling over Point.

Returns a Transformation that scales points by a certain factor with relation to a center point.

Definition at line 260 of file kigtransform.cpp.

const Transformation Transformation::similitude	(	const Coordinate &	center,
		double	theta,
		double	factor
	)

static

Similitude.

Sequence of a rotation and a scaling with relation to a certain center.

Definition at line 794 of file kigtransform.cpp.

const Transformation Transformation::translation ( const Coordinate & c )

static

Translation.

Returns a Translation by a vector c.

Definition at line 273 of file kigtransform.cpp.

Friends And Related Function Documentation

const Transformation operator*	(	const Transformation &	a,
		const Transformation &	b
	)

friend

Sequence.

This creates a Transformation that executes first transformation b, and then a.

Definition at line 292 of file kigtransform.cpp.

bool operator==	(	const Transformation &	lhs,
		const Transformation &	rhs
	)

friend

Equality.

Tests two Transformation's for equality.

Definition at line 785 of file kigtransform.cpp.

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

kig

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

kig

kdeedu API Reference

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