Rotation2DHelpers (Fiji Javadocs 0-SNAPSHOT API)

java.lang.Object
- bigwarp.util.Rotation2DHelpers

public class Rotation2DHelpers
extends Object

Field Summary

Fields
Modifier and Type Field and Description

static double eps

static double PI

static double PIo2

static double PIo2t3

static double PIt2

static double sqrt2

Fields
Modifier and Type	Field and Description
`static double`	`eps`
`static double`	`PI`
`static double`	`PIo2`
`static double`	`PIo2t3`
`static double`	`PIt2`
`static double`	`sqrt2`

Constructor Summary

Constructors
Constructor and Description

Rotation2DHelpers()

Constructors
Constructor and Description
`Rotation2DHelpers()`

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method and Description
`static double`	`angle2d(AffineTransform3D xfm, int r)`
`static void`	`angleMult(double[] pt, double[] res, double angle)`
`static void`	`compareCos(AffineTransform3D xfm, double trueAngle)`
`static double`	`cosAngle2d(AffineTransform3D xfm)`
`static void`	`cosSinMult(double[] pt, double[] res, double cosAngle, double sinAngle)`
`static double`	`determinant2d(AffineTransform2D xfm)` Return the determinant of the 2d transform
`static double`	`determinant2d(AffineTransform3D xfm)` Return the determinant of the top-left 2x2 transformation matrix.
`static double`	`extractRotation(AffineTransform3D xfm)`
`static double`	`extractScale(AffineTransform3D transform, int axis)`
`static double`	`getAngle(double x, double y)` Returns the angle in radians of the given polar coordinates correcting Math.atan2 output to a pattern I can digest.
`static boolean`	`isSimilarity(AffineTransform3D xfm)`
`static void`	`main(String[] args)`
`static void`	`printXfm(AffineTransform3D transform)`
`static void`	`printXfm2d(AffineTransform3D xfm)`
`static void`	`rotateByBasisRow(AffineTransform3D transform, int row, boolean clockwise, double[] tmpRow)`
`static void`	`rotateByBasisRowCCW(AffineTransform3D transform, int row, double[] tmpRow)`
`static void`	`rotateByBasisRowCW(AffineTransform3D transform, int row, double[] tmpRow)`
`static double[][]`	`rotationToMatrix(double theta)`
`static double[][]`	`rotationToMatrix(double theta, boolean isZFlipped)`
`static double[][]`	`rotationToMatrixLeftHanded(double theta)` Left handed coordinate system.
`static AffineTransform3D`	`rotationToTransform(double theta)`
`static AffineTransform3D`	`rotationToTransform(double theta, AffineTransform3D transform)`
`static double`	`rowMag2d(AffineTransform3D xfm, int r)`
`static double`	`shorterAngleBetweenRotations(double angleStart, double angleEnd)` Returns the shorter angle between the starting and ending angle.
`static AffineTransform3D`	`targetViewerTransform2d(AffineTransform3D currentView, boolean clockwise)`
`static AffineTransform3D`	`targetViewerTransform2dOld(AffineTransform3D currentView, boolean clockwise)`

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

PI
```
public static final double PI
```
See Also:

Constant Field Values

PIo2
```
public static final double PIo2
```
See Also:

Constant Field Values

PIo2t3
```
public static final double PIo2t3
```
See Also:

Constant Field Values

PIt2
```
public static final double PIt2
```
See Also:

Constant Field Values

sqrt2
```
public static final double sqrt2
```

eps
```
public static final double eps
```
See Also:

Constant Field Values

Constructor Detail
- Rotation2DHelpers
```
public Rotation2DHelpers()
```

Method Detail

rotateByBasisRow

public static void rotateByBasisRow(AffineTransform3D transform,
                                    int row,
                                    boolean clockwise,
                                    double[] tmpRow)

rotateByBasisRowCCW

public static void rotateByBasisRowCCW(AffineTransform3D transform,
                                       int row,
                                       double[] tmpRow)

rotateByBasisRowCW

public static void rotateByBasisRowCW(AffineTransform3D transform,
                                      int row,
                                      double[] tmpRow)

targetViewerTransform2d

public static AffineTransform3D targetViewerTransform2d(AffineTransform3D currentView,
                                                        boolean clockwise)

targetViewerTransform2dOld

public static AffineTransform3D targetViewerTransform2dOld(AffineTransform3D currentView,
                                                           boolean clockwise)

angle2d

public static double angle2d(AffineTransform3D xfm,
                             int r)

compareCos

public static void compareCos(AffineTransform3D xfm,
                              double trueAngle)

determinant2d
```
public static double determinant2d(AffineTransform3D xfm)
```
Return the determinant of the top-left 2x2 transformation matrix.

Parameters:

xfm - a 3d transform

Returns:

the determinant

cosAngle2d

public static double cosAngle2d(AffineTransform3D xfm)

rowMag2d

public static double rowMag2d(AffineTransform3D xfm,
                              int r)

determinant2d
```
public static double determinant2d(AffineTransform2D xfm)
```
Return the determinant of the 2d transform

Parameters:

xfm - a 3d transform

Returns:

the determinant

shorterAngleBetweenRotations
```
public static double shorterAngleBetweenRotations(double angleStart,
                                                  double angleEnd)
```
Returns the shorter angle between the starting and ending angle.

Parameters:

angleStart - starting angle

angleEnd - ending angle

Returns:

the angle

extractScale

public static double extractScale(AffineTransform3D transform,
                                  int axis)

isSimilarity

public static boolean isSimilarity(AffineTransform3D xfm)

extractRotation

public static double extractRotation(AffineTransform3D xfm)

getAngle
```
public static double getAngle(double x,
                              double y)
```
Returns the angle in radians of the given polar coordinates correcting Math.atan2 output to a pattern I can digest. Adjusting so that 0 is 3 o'clock, PI+PI/2 is 12 o'clock, PI is 9 o'clock, and PI/2 is 6 o'clock Taken from http://albert.rierol.net/java_tricks.html

Parameters:

x - x coordinate

y - y coordinate

Returns:

the angle

angleMult

public static void angleMult(double[] pt,
                             double[] res,
                             double angle)

cosSinMult

public static void cosSinMult(double[] pt,
                              double[] res,
                              double cosAngle,
                              double sinAngle)

rotationToMatrixLeftHanded
```
public static double[][] rotationToMatrixLeftHanded(double theta)
```
Left handed coordinate system.

Parameters:

theta - angle

Returns:

rotation matrix

rotationToMatrix

public static double[][] rotationToMatrix(double theta)

rotationToMatrix

public static double[][] rotationToMatrix(double theta,
                                          boolean isZFlipped)

rotationToTransform

public static AffineTransform3D rotationToTransform(double theta,
                                                    AffineTransform3D transform)

rotationToTransform

public static AffineTransform3D rotationToTransform(double theta)

printXfm2d

public static void printXfm2d(AffineTransform3D xfm)

printXfm

public static void printXfm(AffineTransform3D transform)

main

public static void main(String[] args)

Class Rotation2DHelpers

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

PI

PIo2

PIo2t3

PIt2

sqrt2

eps

Constructor Detail

Rotation2DHelpers

Method Detail

rotateByBasisRow

rotateByBasisRowCCW

rotateByBasisRowCW

targetViewerTransform2d

targetViewerTransform2dOld

angle2d

compareCos

determinant2d

cosAngle2d

rowMag2d

determinant2d

shorterAngleBetweenRotations

extractScale

isSimilarity

extractRotation

getAngle

angleMult

cosSinMult

rotationToMatrixLeftHanded

rotationToMatrix

rotationToMatrix

rotationToTransform

rotationToTransform

printXfm2d

printXfm

main