endrov.unsortedImageFilters
Class GeometricMomentum

java.lang.Object
  endrov.unsortedImageFilters.GeometricMomentum

public class GeometricMomentum
extends java.lang.Object

Geometric momentum, defined as m_pq=sum_ij x^p y^q f(x,y), can be used for shape recognition and localization.
Central moment is calculated as: mu_pq=sum_ij (x-x_0)^p (y-y_0)^q f(x,y) with (x_0,y_0)=(m_10,m_01)/m_00, that is, the geometric center.
See "Moment functions in image analysis", R Makundan, K R Ramakrishnan
Examples:
m_pq/(m_00^((p+q+2)/2)) is scale invariant mu_pq/(mu_00^((p+q+2)/2)) is scale and translation invariant
rotation invariants exists.

Constructor Summary

GeometricMomentum()

Method Summary

static double

momentum(ProgressHandle ph, EvPixels in, int p, int q) Calculate momentum: m_pq=sum_ij x^p y^q f(x,y) TODO special faster versions can be deployed if image is binary Complexity O(w*h*(p+q))

Methods inherited from class java.lang.Object

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

Constructor Detail

GeometricMomentum

public GeometricMomentum()

Method Detail

momentum

public static double momentum(ProgressHandle ph,
                              EvPixels in,
                              int p,
                              int q)

Calculate momentum: m_pq=sum_ij x^p y^q f(x,y) TODO special faster versions can be deployed if image is binary Complexity O(w*h*(p+q))