Matrix expression representation. More...

#include "mat.hpp"

Public Member Functions
	MatExpr ()

	MatExpr (const Mat &m)

	MatExpr (const MatOp *_op, int _flags, const Mat &_a=Mat(), const Mat &_b=Mat(), const Mat &_c=Mat(), double _alpha=1, double _beta=1, const Scalar &_s=Scalar())

MatExpr	col (int x) const

Mat	cross (const Mat &m) const

MatExpr	diag (int d=0) const

double	dot (const Mat &m) const

MatExpr	inv (int method=DECOMP_LU) const

MatExpr	mul (const MatExpr &e, double scale=1) const

MatExpr	mul (const Mat &m, double scale=1) const

	operator Mat () const

template<typename _Tp >
	operator Mat_< _Tp > () const

MatExpr	operator() (const Range &rowRange, const Range &colRange) const

MatExpr	operator() (const Rect &roi) const

MatExpr	row (int y) const

Size	size () const

MatExpr	t () const

int	type () const

Public Attributes
Mat	a

double	alpha

Mat	b

double	beta

Mat	c

int	flags

const MatOp *	op

Scalar	s

Related Functions
(Note that these are not member functions.)

MatExpr	operator+ (const Mat &a, const Mat &b)

MatExpr	operator+ (const Mat &a, const Scalar &s)

MatExpr	operator+ (const Scalar &s, const Mat &a)

MatExpr	operator+ (const MatExpr &e, const Mat &m)

MatExpr	operator+ (const Mat &m, const MatExpr &e)

MatExpr	operator+ (const MatExpr &e, const Scalar &s)

MatExpr	operator+ (const Scalar &s, const MatExpr &e)

MatExpr	operator+ (const MatExpr &e1, const MatExpr &e2)

MatExpr	operator- (const Mat &a, const Mat &b)

MatExpr	operator- (const Mat &a, const Scalar &s)

MatExpr	operator- (const Scalar &s, const Mat &a)

MatExpr	operator- (const MatExpr &e, const Mat &m)

MatExpr	operator- (const Mat &m, const MatExpr &e)

MatExpr	operator- (const MatExpr &e, const Scalar &s)

MatExpr	operator- (const Scalar &s, const MatExpr &e)

MatExpr	operator- (const MatExpr &e1, const MatExpr &e2)

MatExpr	operator- (const Mat &m)

MatExpr	operator- (const MatExpr &e)

MatExpr	operator* (const Mat &a, const Mat &b)

MatExpr	operator* (const Mat &a, double s)

MatExpr	operator* (double s, const Mat &a)

MatExpr	operator* (const MatExpr &e, const Mat &m)

MatExpr	operator* (const Mat &m, const MatExpr &e)

MatExpr	operator* (const MatExpr &e, double s)

MatExpr	operator* (double s, const MatExpr &e)

MatExpr	operator* (const MatExpr &e1, const MatExpr &e2)

MatExpr	operator/ (const Mat &a, const Mat &b)

MatExpr	operator/ (const Mat &a, double s)

MatExpr	operator/ (double s, const Mat &a)

MatExpr	operator/ (const MatExpr &e, const Mat &m)

MatExpr	operator/ (const Mat &m, const MatExpr &e)

MatExpr	operator/ (const MatExpr &e, double s)

MatExpr	operator/ (double s, const MatExpr &e)

MatExpr	operator/ (const MatExpr &e1, const MatExpr &e2)

MatExpr	operator< (const Mat &a, const Mat &b)

MatExpr	operator< (const Mat &a, double s)

MatExpr	operator< (double s, const Mat &a)

MatExpr	operator<= (const Mat &a, const Mat &b)

MatExpr	operator<= (const Mat &a, double s)

MatExpr	operator<= (double s, const Mat &a)

MatExpr	operator== (const Mat &a, const Mat &b)

MatExpr	operator== (const Mat &a, double s)

MatExpr	operator== (double s, const Mat &a)

MatExpr	operator!= (const Mat &a, const Mat &b)

MatExpr	operator!= (const Mat &a, double s)

MatExpr	operator!= (double s, const Mat &a)

MatExpr	operator>= (const Mat &a, const Mat &b)

MatExpr	operator>= (const Mat &a, double s)

MatExpr	operator>= (double s, const Mat &a)

MatExpr	operator> (const Mat &a, const Mat &b)

MatExpr	operator> (const Mat &a, double s)

MatExpr	operator> (double s, const Mat &a)

MatExpr	operator & (const Mat &a, const Mat &b)

MatExpr	operator & (const Mat &a, const Scalar &s)

MatExpr	operator & (const Scalar &s, const Mat &a)

MatExpr	operator\| (const Mat &a, const Mat &b)

MatExpr	operator\| (const Mat &a, const Scalar &s)

MatExpr	operator\| (const Scalar &s, const Mat &a)

MatExpr	operator^ (const Mat &a, const Mat &b)

MatExpr	operator^ (const Mat &a, const Scalar &s)

MatExpr	operator^ (const Scalar &s, const Mat &a)

MatExpr	operator~ (const Mat &m)

MatExpr	min (const Mat &a, const Mat &b)

MatExpr	min (const Mat &a, double s)

MatExpr	min (double s, const Mat &a)

MatExpr	max (const Mat &a, const Mat &b)

MatExpr	max (const Mat &a, double s)

MatExpr	max (double s, const Mat &a)

MatExpr	abs (const Mat &m)
	Calculates an absolute value of each matrix element. More...

MatExpr	abs (const MatExpr &e)

Detailed Description

Matrix expression representation.

This is a list of implemented matrix operations that can be combined in arbitrary complex expressions (here A, B stand for matrices ( Mat ), s for a scalar ( Scalar ), alpha for a real-valued scalar ( double )):

Addition, subtraction, negation: A+B, A-B, A+s, A-s, s+A, s-A, -A
Scaling: A*alpha
Per-element multiplication and division: A.mul(B), A/B, alpha/A
Matrix multiplication: A*B
Transposition: A.t() (means A^T)
Matrix inversion and pseudo-inversion, solving linear systems and least-squares problems: A.inv([method]) (~ A<sup>-1</sup>), A.inv([method])*B (~ X: AX=B)
Comparison: A cmpop B, A cmpop alpha, alpha cmpop A, where cmpop is one of >, >=, ==, !=, <=, <. The result of comparison is an 8-bit single channel mask whose elements are set to 255 (if the particular element or pair of elements satisfy the condition) or 0.
Bitwise logical operations: A logicop B, A logicop s, s logicop A, ~A, where logicop is one of &, |, ^.
Element-wise minimum and maximum: min(A, B), min(A, alpha), max(A, B), max(A, alpha)
Element-wise absolute value: abs(A)
Cross-product, dot-product: A.cross(B), A.dot(B)
Any function of matrix or matrices and scalars that returns a matrix or a scalar, such as norm, mean, sum, countNonZero, trace, determinant, repeat, and others.
Matrix initializers ( Mat::eye(), Mat::zeros(), Mat::ones() ), matrix comma-separated initializers, matrix constructors and operators that extract sub-matrices (see Mat description).
Mat_<destination_type>() constructors to cast the result to the proper type.
Note
Comma-separated initializers and probably some other operations may require additional explicit Mat() or Mat_<T>() constructor calls to resolve a possible ambiguity.
Here are examples of matrix expressions:
// compute pseudo-inverse of A, equivalent to A.inv(DECOMP_SVD)
SVD svd(A);
Mat pinvA = svd.vt.t()*Mat::diag(1./svd.w)*svd.u.t();
// compute the new vector of parameters in the Levenberg-Marquardt algorithm
x -= (A.t()*A + lambda*Mat::eye(A.cols,A.cols,A.type())).inv(DECOMP_CHOLESKY)*(A.t()*err);
// sharpen image using "unsharp mask" algorithm
Mat blurred; double sigma = 1, threshold = 5, amount = 1;
GaussianBlur(img, blurred, Size(), sigma, sigma);
Mat lowContrastMask = abs(img - blurred) < threshold;
Mat sharpened = img*(1+amount) + blurred*(-amount);
img.copyTo(sharpened, lowContrastMask);

Constructor & Destructor Documentation

§ MatExpr() [1/3]

cv::MatExpr::MatExpr ( )

§ MatExpr() [2/3]

cv::MatExpr::MatExpr ( const Mat & m )

explicit

§ MatExpr() [3/3]

cv::MatExpr::MatExpr	(	const MatOp *	_op,
		int	_flags,
		const Mat &	_a = `Mat()`,
		const Mat &	_b = `Mat()`,
		const Mat &	_c = `Mat()`,
		double	_alpha = `1`,
		double	_beta = `1`,
		const Scalar &	_s = `Scalar()`
	)

Member Function Documentation

§ col()

MatExpr cv::MatExpr::col ( int x ) const

§ cross()

Mat cv::MatExpr::cross ( const Mat & m ) const

§ diag()

MatExpr cv::MatExpr::diag ( int d = 0 ) const

§ dot()

double cv::MatExpr::dot ( const Mat & m ) const

§ inv()

MatExpr cv::MatExpr::inv ( int method = DECOMP_LU ) const

§ mul() [1/2]

MatExpr cv::MatExpr::mul	(	const MatExpr &	e,
		double	scale = `1`
	)		const

§ mul() [2/2]

MatExpr cv::MatExpr::mul	(	const Mat &	m,
		double	scale = `1`
	)		const

§ operator Mat()

cv::MatExpr::operator Mat ( ) const

§ operator Mat_< _Tp >()

template<typename _Tp >

cv::MatExpr::operator Mat_< _Tp > ( ) const

§ operator()() [1/2]

MatExpr cv::MatExpr::operator()	(	const Range &	rowRange,
		const Range &	colRange
	)		const

§ operator()() [2/2]

MatExpr cv::MatExpr::operator() ( const Rect & roi ) const

§ row()

MatExpr cv::MatExpr::row ( int y ) const

§ size()

Size cv::MatExpr::size ( ) const

§ t()

MatExpr cv::MatExpr::t ( ) const

Examples:: decompose_homography.cpp.

§ type()

int cv::MatExpr::type ( ) const

Friends And Related Function Documentation

§ abs() [1/2]

MatExpr abs ( const Mat & m )

abs is a meta-function that is expanded to one of absdiff or convertScaleAbs forms:

C = abs(A-B) is equivalent to absdiff(A, B, C)
C = abs(A) is equivalent to absdiff(A, Scalar::all(0), C)
C = Mat_<Vec<uchar,n> >(abs(A*alpha + beta)) is equivalent to convertScaleAbs(A, C, alpha, beta)

The output matrix has the same size and the same type as the input one except for the last case, where C is depth=CV_8U .

Parameters

m matrix.

See also: MatrixExpressions, absdiff, convertScaleAbs

§ abs() [2/2]

MatExpr abs ( const MatExpr & e )

Parameters

e	matrix expression.

§ max() [1/3]

MatExpr max	(	const Mat &	a,
		const Mat &	b
	)

MatExpr max	(	const Mat &	a,
		double	s
	)

MatExpr max	(	double	s,
		const Mat &	a
	)

MatExpr min	(	const Mat &	a,
		const Mat &	b
	)

MatExpr min	(	const Mat &	a,
		double	s
	)

MatExpr min	(	double	s,
		const Mat &	a
	)

MatExpr operator&	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator&	(	const Mat &	a,
		const Scalar &	s
	)

MatExpr operator&	(	const Scalar &	s,
		const Mat &	a
	)

MatExpr operator!=	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator!=	(	const Mat &	a,
		double	s
	)

MatExpr operator!=	(	double	s,
		const Mat &	a
	)

MatExpr operator*	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator*	(	const Mat &	a,
		double	s
	)

MatExpr operator*	(	double	s,
		const Mat &	a
	)

MatExpr operator*	(	const MatExpr &	e,
		const Mat &	m
	)

MatExpr operator*	(	const Mat &	m,
		const MatExpr &	e
	)

MatExpr operator*	(	const MatExpr &	e,
		double	s
	)

MatExpr operator*	(	double	s,
		const MatExpr &	e
	)

MatExpr operator*	(	const MatExpr &	e1,
		const MatExpr &	e2
	)

MatExpr operator+	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator+	(	const Mat &	a,
		const Scalar &	s
	)

MatExpr operator+	(	const Scalar &	s,
		const Mat &	a
	)

MatExpr operator+	(	const MatExpr &	e,
		const Mat &	m
	)

MatExpr operator+	(	const Mat &	m,
		const MatExpr &	e
	)

MatExpr operator+	(	const MatExpr &	e,
		const Scalar &	s
	)

MatExpr operator+	(	const Scalar &	s,
		const MatExpr &	e
	)

MatExpr operator+	(	const MatExpr &	e1,
		const MatExpr &	e2
	)

MatExpr operator-	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator-	(	const Mat &	a,
		const Scalar &	s
	)

MatExpr operator-	(	const Scalar &	s,
		const Mat &	a
	)

MatExpr operator-	(	const MatExpr &	e,
		const Mat &	m
	)

MatExpr operator-	(	const Mat &	m,
		const MatExpr &	e
	)

MatExpr operator-	(	const MatExpr &	e,
		const Scalar &	s
	)

MatExpr operator-	(	const Scalar &	s,
		const MatExpr &	e
	)

MatExpr operator-	(	const MatExpr &	e1,
		const MatExpr &	e2
	)

MatExpr operator- ( const Mat & m )

MatExpr operator- ( const MatExpr & e )

MatExpr operator/	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator/	(	const Mat &	a,
		double	s
	)

MatExpr operator/	(	double	s,
		const Mat &	a
	)

MatExpr operator/	(	const MatExpr &	e,
		const Mat &	m
	)

MatExpr operator/	(	const Mat &	m,
		const MatExpr &	e
	)

MatExpr operator/	(	const MatExpr &	e,
		double	s
	)

MatExpr operator/	(	double	s,
		const MatExpr &	e
	)

MatExpr operator/	(	const MatExpr &	e1,
		const MatExpr &	e2
	)

MatExpr operator<	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator<	(	const Mat &	a,
		double	s
	)

MatExpr operator<	(	double	s,
		const Mat &	a
	)

MatExpr operator<=	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator<=	(	const Mat &	a,
		double	s
	)

MatExpr operator<=	(	double	s,
		const Mat &	a
	)

MatExpr operator==	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator==	(	const Mat &	a,
		double	s
	)

MatExpr operator==	(	double	s,
		const Mat &	a
	)

MatExpr operator>	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator>	(	const Mat &	a,
		double	s
	)

MatExpr operator>	(	double	s,
		const Mat &	a
	)

MatExpr operator>=	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator>=	(	const Mat &	a,
		double	s
	)

MatExpr operator>=	(	double	s,
		const Mat &	a
	)

MatExpr operator^	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator^	(	const Mat &	a,
		const Scalar &	s
	)

MatExpr operator^	(	const Scalar &	s,
		const Mat &	a
	)

MatExpr operator\|	(	const Mat &	a,
		const Mat &	b
	)

MatExpr operator\|	(	const Mat &	a,
		const Scalar &	s
	)

MatExpr operator\|	(	const Scalar &	s,
		const Mat &	a
	)

MatExpr operator~ ( const Mat & m )

§ a

Mat cv::MatExpr::a

§ alpha

double cv::MatExpr::alpha

§ b

Mat cv::MatExpr::b

§ beta

double cv::MatExpr::beta

§ c

Mat cv::MatExpr::c

§ flags

int cv::MatExpr::flags

§ op

const MatOp* cv::MatExpr::op

§ s

Scalar cv::MatExpr::s

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

core/include/opencv2/core/mat.hpp

Public Member Functions

Public Attributes

Related Functions

Detailed Description

Constructor & Destructor Documentation

§ MatExpr() [1/3]

§ MatExpr() [2/3]

§ MatExpr() [3/3]

Member Function Documentation

§ col()

§ cross()

§ diag()

§ dot()

§ inv()

§ mul() [1/2]

§ mul() [2/2]

§ operator Mat()

§ operator Mat_< _Tp >()

§ operator()() [1/2]

§ operator()() [2/2]

§ row()

§ size()

§ t()

§ type()

Friends And Related Function Documentation

§ abs() [1/2]

§ abs() [2/2]

§ max() [1/3]

§ max() [2/3]

§ max() [3/3]

§ min() [1/3]

§ min() [2/3]

§ min() [3/3]

§ operator &() [1/3]

§ operator &() [2/3]

§ operator &() [3/3]

§ operator!=() [1/3]

§ operator!=() [2/3]

§ operator!=() [3/3]

§ operator*() [1/8]

§ operator*() [2/8]

§ operator*() [3/8]

§ operator*() [4/8]

§ operator*() [5/8]

§ operator*() [6/8]

§ operator*() [7/8]

§ operator*() [8/8]

§ operator+() [1/8]

§ operator+() [2/8]

§ operator+() [3/8]

§ operator+() [4/8]

§ operator+() [5/8]

§ operator+() [6/8]

§ operator+() [7/8]

§ operator+() [8/8]

§ operator-() [1/10]

§ operator-() [2/10]

§ operator-() [3/10]

§ operator-() [4/10]

§ operator-() [5/10]

§ operator-() [6/10]

§ operator-() [7/10]

§ operator-() [8/10]

§ operator-() [9/10]

§ operator-() [10/10]

§ operator/() [1/8]

§ operator/() [2/8]

§ operator/() [3/8]

§ operator/() [4/8]

§ operator/() [5/8]

§ operator/() [6/8]

§ operator/() [7/8]

§ operator/() [8/8]

§ operator<() [1/3]

§ operator<() [2/3]

§ operator<() [3/3]

§ operator<=() [1/3]

§ operator<=() [2/3]

§ operator<=() [3/3]

§ operator==() [1/3]