#include "types.hpp"

Collaboration diagram for cv::Moments:

Public Member Functions
	Moments ()
	the default constructor More...

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

Public Attributes
spatial moments
double	m00

double	m10

double	m01

double	m20

double	m11

double	m02

double	m30

double	m21

double	m12

double	m03

central moments
double	mu20

double	mu11

double	mu02

double	mu30

double	mu21

double	mu12

double	mu03

central normalized moments
double	nu20

double	nu11

double	nu02

double	nu30

double	nu21

double	nu12

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

cv::Moments::Moments ( )

the default constructor

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

double cv::Moments::m00

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

Member Data Documentation