Module imagingbook.common

Package imagingbook.common.geometry.moments

Class Moments2D

java.lang.Object

imagingbook.common.geometry.moments.Moments2D

public abstract class Moments2D
extends Object

This class defines methods for statistical moment calculations on 2D point sets. See Sec. 8.5 of [1] for details. This abstract class defines static methods only.

[1] W. Burger, M.J. Burge, Digital Image Processing – An Algorithmic Introduction, 3rd ed, Springer (2022).

Version:

2022/11/17

Method Summary

Modifier and Type	Method	Description
static double	centralMoment(Iterable<Pnt2d> points, int p, int q)	Calculates and returns the central moment of order (p,q) for the specified set of 2D points.
static double	normalizedCentralMoment(Iterable<Pnt2d> points, int p, int q)	Calculates and returns the normalized central moment of order (p,q) for the specified set of 2D points.
static double	ordinaryMoment(Iterable<Pnt2d> points, int p, int q)	Calculates and returns the ordinary moment of order (p,q) for the specified set of 2D points.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

ordinaryMoment

public static double ordinaryMoment(Iterable<Pnt2d> points,
 int p,
 int q)

Calculates and returns the ordinary moment of order (p,q) for the specified set of 2D points.

Parameters:

points - a set of 2D points

p - order index p

q - order index q

Returns:

the moment value

centralMoment

public static double centralMoment(Iterable<Pnt2d> points,
 int p,
 int q)

Calculates and returns the central moment of order (p,q) for the specified set of 2D points.

Parameters:

points - a set of 2D points

p - order index p

q - order index q

Returns:

the moment value

normalizedCentralMoment

public static double normalizedCentralMoment(Iterable<Pnt2d> points,
 int p,
 int q)

Calculates and returns the normalized central moment of order (p,q) for the specified set of 2D points.

Parameters:

points - a set of 2D points

p - order index p

q - order index q

Returns:

the moment value