struct returned by cv::moments More...

#include <types.hpp>

Public Member Functions
	Moments ()
	the default constructor

	Moments (double m00, double m10, double m01, double m20, double m11, double m02, double m30, double m21, double m12, double m03)
	the full constructor

Public Attributes
spatial moments
CV_PROP_RW double	m00

CV_PROP_RW double	m10

CV_PROP_RW double	m01

CV_PROP_RW double	m20

CV_PROP_RW double	m11

CV_PROP_RW double	m02

CV_PROP_RW double	m30

CV_PROP_RW double	m21

CV_PROP_RW double	m12

CV_PROP_RW double	m03

central moments
CV_PROP_RW double	mu20

CV_PROP_RW double	mu11

CV_PROP_RW double	mu02

CV_PROP_RW double	mu30

CV_PROP_RW double	mu21

CV_PROP_RW double	mu12

CV_PROP_RW double	mu03

central normalized moments
CV_PROP_RW double	nu20

CV_PROP_RW double	nu11

CV_PROP_RW double	nu02

CV_PROP_RW double	nu30

CV_PROP_RW double	nu21

CV_PROP_RW double	nu12

CV_PROP_RW double	nu03

Detailed Description

struct returned by cv::moments

The spatial moments $\texttt{Moments::m}_{ji}$ are computed as:

$\texttt{m} _{ji}= \sum _{x,y} \left ( \texttt{array} (x,y) \cdot x^j \cdot y^i \right )$

The central moments $\texttt{Moments::mu}_{ji}$ are computed as:

$\texttt{mu} _{ji}= \sum _{x,y} \left ( \texttt{array} (x,y) \cdot (x - \bar{x} )^j \cdot (y - \bar{y} )^i \right )$

where $(\bar{x}, \bar{y})$ is the mass center:

$\bar{x} = \frac{\texttt{m}_{10}}{\texttt{m}_{00}} , \; \bar{y} = \frac{\texttt{m}_{01}}{\texttt{m}_{00}}$

The normalized central moments $\texttt{Moments::nu}_{ij}$ are computed as:

$\texttt{nu} _{ji}= \frac{\texttt{mu}_{ji}}{\texttt{m}_{00}^{(i+j)/2+1}} .$

Note: $\texttt{mu}_{00}=\texttt{m}_{00}$ , $\texttt{nu}_{00}=1$ $\texttt{nu}_{10}=\texttt{mu}_{10}=\texttt{mu}_{01}=\texttt{mu}_{10}=0$ , hence the values are not stored.

The moments of a contour are defined in the same way but computed using the Green's formula (see http://en.wikipedia.org/wiki/Green_theorem). So, due to a limited raster resolution, the moments computed for a contour are slightly different from the moments computed for the same rasterized contour.

Note: Since the contour moments are computed using Green formula, you may get seemingly odd results for contours with self-intersections, e.g. a zero area (m00) for butterfly-shaped contours.

Constructor & Destructor Documentation

◆ Moments() [1/2]

cv::Moments::Moments ( )

the default constructor

◆ Moments() [2/2]

cv::Moments::Moments	(	double	m00,
		double	m10,
		double	m01,
		double	m20,
		double	m11,
		double	m02,
		double	m30,
		double	m21,
		double	m12,
		double	m03
	)

the full constructor

Member Data Documentation

◆ m00

CV_PROP_RW double cv::Moments::m00

◆ m01

CV_PROP_RW double cv::Moments::m01

◆ m02

CV_PROP_RW double cv::Moments::m02

◆ m03

CV_PROP_RW double cv::Moments::m03

◆ m10

CV_PROP_RW double cv::Moments::m10

◆ m11

CV_PROP_RW double cv::Moments::m11

◆ m12

CV_PROP_RW double cv::Moments::m12

◆ m20

CV_PROP_RW double cv::Moments::m20

◆ m21

CV_PROP_RW double cv::Moments::m21

◆ m30

CV_PROP_RW double cv::Moments::m30

◆ mu02

CV_PROP_RW double cv::Moments::mu02

◆ mu03

CV_PROP_RW double cv::Moments::mu03

◆ mu11

CV_PROP_RW double cv::Moments::mu11

◆ mu12

CV_PROP_RW double cv::Moments::mu12

◆ mu20

CV_PROP_RW double cv::Moments::mu20

◆ mu21

CV_PROP_RW double cv::Moments::mu21

◆ mu30

CV_PROP_RW double cv::Moments::mu30

◆ nu02

CV_PROP_RW double cv::Moments::nu02

◆ nu03

CV_PROP_RW double cv::Moments::nu03

◆ nu11

CV_PROP_RW double cv::Moments::nu11

◆ nu12

CV_PROP_RW double cv::Moments::nu12

◆ nu20

CV_PROP_RW double cv::Moments::nu20

◆ nu21

CV_PROP_RW double cv::Moments::nu21

◆ nu30

CV_PROP_RW double cv::Moments::nu30

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

build/release/_deps/opencv-src/include/opencv4/opencv2/core/types.hpp

Public Member Functions

Public Attributes