Catalano.Imaging.Tools

Class ImageMoments

java.lang.Object

Catalano.Imaging.Tools.ImageMoments

public final class ImageMoments
extends java.lang.Object

Image Moments. Moment invariants are properties of connected regions in binary images that are invariant to translation, rotation and scale. They are useful because they define a simply calculated set of region properties that can be used for shape classification and part recognition.

See Also:

HuMoments, ZernikeMoments

Method Summary

Modifier and Type	Method and Description
static double	getCentralMoment(FastBitmap fastBitmap, int p, int q) Compute central moment.
static double	getCentralMoment(FastBitmap fastBitmap, int p, int q, DoublePoint centroid) Compute central moment.
static DoublePoint	getCentroid(FastBitmap fastBitmap) Compute centroid components.
static DoublePoint	getCentroid(FastBitmap fastBitmap, double m00) Compute centroid components.
static double	getCovarianceXY(FastBitmap fastBitmap, int p, int q) Compute Covariance XY.
static double	getNormalizedCentralMoment(FastBitmap fastBitmap, int p, int q) Normalized Central Moment.
static double	getNormalizedCentralMoment(FastBitmap fastBitmap, int p, int q, DoublePoint centroid, double m00) Normalized Central Moment.
static double	getOrientation(FastBitmap fastBitmap) Compute orientation in radians.
static DoublePoint	getProjectionKurtosis(FastBitmap fastBitmap) Compute projection kurtosis.
static DoublePoint	getProjectionKurtosis(FastBitmap fastBitmap, DoublePoint centroid) Compute projection kurtosis.
static DoublePoint	getProjectionSkewness(FastBitmap fastBitmap) Compute projection skewness.
static DoublePoint	getProjectionSkewness(FastBitmap fastBitmap, DoublePoint centroid) Compute projection skewness.
static double	getRawMoment(FastBitmap fastBitmap, int p, int q) Compute Raw moment.
static double	getVarianceX(FastBitmap fastBitmap, int p, int q) Compute variance X.
static double	getVarianceY(FastBitmap fastBitmap, int p, int q) Compute variance Y.
static double	getZaidNormalizedCentralMoment(FastBitmap fastBitmap, int p, int q) Abo-Zaid Normalized Central Moment.

Methods inherited from class java.lang.Object

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

Method Detail

getRawMoment

public static double getRawMoment(FastBitmap fastBitmap,
                                  int p,
                                  int q)

Compute Raw moment.

Parameters:

fastBitmap - Image.

p - Order p.

q - Order q.

Returns:

Raw moment.

getCentralMoment

public static double getCentralMoment(FastBitmap fastBitmap,
                                      int p,
                                      int q)

Compute central moment.

Parameters:

fastBitmap - Image.

p - Order p.

q - Order q.

Returns:

Central moment.

getCentralMoment

public static double getCentralMoment(FastBitmap fastBitmap,
                                      int p,
                                      int q,
                                      DoublePoint centroid)

Compute central moment.

Parameters:

fastBitmap - Image.

p - Order p.

q - Order q.

centroid - Centroid.

Returns:

Central moment.

getCentroid

public static DoublePoint getCentroid(FastBitmap fastBitmap)

Compute centroid components.

Parameters:

fastBitmap - Image.

Returns:

Centroid.

getCentroid

public static DoublePoint getCentroid(FastBitmap fastBitmap,
                                      double m00)

Compute centroid components.

Parameters:

fastBitmap - Image.

m00 - M00.

Returns:

Centroid.

getCovarianceXY

public static double getCovarianceXY(FastBitmap fastBitmap,
                                     int p,
                                     int q)

Compute Covariance XY.

Parameters:

fastBitmap - Image.

p - Order p.

q - Order q.

Returns:

Covariance.

getVarianceX

public static double getVarianceX(FastBitmap fastBitmap,
                                  int p,
                                  int q)

Compute variance X.

Parameters:

fastBitmap - Image.

p - Order p.

q - Order q.

Returns:

Variance X.

getVarianceY

public static double getVarianceY(FastBitmap fastBitmap,
                                  int p,
                                  int q)

Compute variance Y.

Parameters:

fastBitmap - Image.

p - Order p.

q - Order q.

Returns:

Variace Y.

getOrientation

public static double getOrientation(FastBitmap fastBitmap)

Compute orientation in radians.

Parameters:

fastBitmap - Image.

Returns:

Orientation from the image.

getProjectionSkewness

public static DoublePoint getProjectionSkewness(FastBitmap fastBitmap)

Compute projection skewness.

Parameters:

fastBitmap - Image.

Returns:

Projection skewness.

getProjectionSkewness

public static DoublePoint getProjectionSkewness(FastBitmap fastBitmap,
                                                DoublePoint centroid)

Compute projection skewness.

Parameters:

fastBitmap - Image.

centroid - Centroid.

Returns:

Projection skewness.

getProjectionKurtosis

public static DoublePoint getProjectionKurtosis(FastBitmap fastBitmap)

Compute projection kurtosis.

Parameters:

fastBitmap - Image.

Returns:

Projection kurtorsis.

getProjectionKurtosis

public static DoublePoint getProjectionKurtosis(FastBitmap fastBitmap,
                                                DoublePoint centroid)

Compute projection kurtosis.

Parameters:

fastBitmap - Image.

centroid - Centroid.

Returns:

Projection kurtorsis.

getNormalizedCentralMoment

public static double getNormalizedCentralMoment(FastBitmap fastBitmap,
                                                int p,
                                                int q)

Normalized Central Moment.

Parameters:

fastBitmap - Image.

p - Order p.

q - Order q.

Returns:

Normalized central moment.

getNormalizedCentralMoment

public static double getNormalizedCentralMoment(FastBitmap fastBitmap,
                                                int p,
                                                int q,
                                                DoublePoint centroid,
                                                double m00)

Normalized Central Moment.

Parameters:

fastBitmap - Image.

p - Order p.

q - Order q.

centroid - Centroid.

m00 - M00 moment value.

Returns:

Normalized central moment.

getZaidNormalizedCentralMoment

public static double getZaidNormalizedCentralMoment(FastBitmap fastBitmap,
                                                    int p,
                                                    int q)

Abo-Zaid Normalized Central Moment.

Parameters:

fastBitmap - Image.

p - Order p.

q - Order q.

Returns:

Abo-Zaid normalized central moment.