Module imagingbook.common

Package imagingbook.common.geometry.moments

Class FlusserMoments

java.lang.Object

imagingbook.common.geometry.moments.FlusserMoments

public class FlusserMoments
extends Object

Naive implementation of Flusser's complex invariant moments [1]. See Sec. 8.6.5 (Eq. 8.51 - 8.54) of [2] for additional details.

[1] J. Flusser, B. Zitova, and T. Suk. "Moments and Moment Invariants in Pattern Recognition". John Wiley and Sons (2009).
[2] W. Burger, M.J. Burge, Digital Image Processing – An Algorithmic Introduction, 3rd ed, Springer (2022).

Version:

2022/12/28

Constructor Summary

Constructors

Constructor	Description
FlusserMoments(Iterable<Pnt2d> points)

Method Summary

Modifier and Type	Method	Description
Complex	getComplexMoment(int p, int q)	Returns the scale-normalized complex moment of order (p,q) for the 2D point set associated with this FlusserMoments instance.
double[]	getInvariantMoments()	Calculates and returns a vector of 11 invariant moments for the specified set of 2D points.
Complex	getScaleNormalizedMoment(int p, int q)	Returns the scale-normalized complex 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

Constructor Details

FlusserMoments

public FlusserMoments(Iterable<Pnt2d> points)

Method Details

getComplexMoment

public Complex getComplexMoment(int p,
 int q)

Returns the scale-normalized complex moment of order (p,q) for the 2D point set associated with this FlusserMoments instance.

Parameters:

p - order index p

q - order index q

Returns:

the complex moment of order (p,q)

getScaleNormalizedMoment

public Complex getScaleNormalizedMoment(int p,
 int q)

Returns the scale-normalized complex moment of order (p,q) for the specified set of 2D points.

Parameters:

p - order index p

q - order index q

Returns:

the complex moment of order (p,q)

getInvariantMoments

public double[] getInvariantMoments()

Calculates and returns a vector of 11 invariant moments for the specified set of 2D points.

Returns:

the vector of invariant moments