java.lang.Object
- java.lang.Thread
- - gov.nih.mipav.model.algorithms.AlgorithmBase
  - - gov.nih.mipav.model.algorithms.AlgorithmEllipseToCircle

All Implemented Interfaces:

java.awt.event.ActionListener, java.awt.event.WindowListener, java.lang.Runnable, java.util.EventListener
```
public class AlgorithmEllipseToCircle
extends AlgorithmBase
```
This program performs the conformal mapping of an ellipse to a circle. Consider the original ellipse as having a tilt theta with the x axis. Then the conformal mapping is done in 3 steps. 1.) Translate the circle from the center of the square image to the origin, rotate around the circle by -theta and convert to a unit disc by dividing the distance from the center by the radius. 2.) Map from the unit circle to a standard ellipse on the x axis with foci at +- 1 and with the same major axis/minor axis ratio as the original ellipse. 3.) Map from the standard ellipse to the original ellipse by rotating, scaling, and translating.
References: 1.) Advanced Calculus For Applications Second Edition by F. B. Hildebrand, Section 10.4 Analytic Functions of a Complex Variable pages 550-554 and Section 11.4 Conformal Mapping pages 628-632, Prentice-Hall, Inc., 1976. 2.) "On Conformal Representations of the Interior of an Ellipse" by Stanislawa Kanas and Toshiyuki Sugawa, Annales Academiae Scientiarum Fennicae Mathematica, Volume 31, 2006, pp. 329-348. 3.) http://mathworld.com/InverseSine.html

Nested Class Summary
- Nested classes/interfaces inherited from class java.lang.Thread
  java.lang.Thread.State, java.lang.Thread.UncaughtExceptionHandler

Field Summary
- Fields inherited from class gov.nih.mipav.model.algorithms.AlgorithmBase
  destFlag, destImage, image25D, mask, maxProgressValue, minProgressValue, multiThreadingEnabled, nthreads, progress, progressModulus, progressStep, runningInSeparateThread, separable, srcImage, threadStopped
- Fields inherited from class java.lang.Thread
  MAX_PRIORITY, MIN_PRIORITY, NORM_PRIORITY

Constructor Summary

Constructors
Constructor	Description
`AlgorithmEllipseToCircle()`	AlgorithmEllipseToCircle - default constructor.
`AlgorithmEllipseToCircle(ModelImage destImg, ModelImage srcImg)`	AlgorithmEllipseToCircle.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`private double`	`cosh(double x)`
`void`	`finalize()`	finalize -
`void`	`runAlgorithm()`	Starts the program.
`private void`	`selfTest()`
`private double`	`sinh(double x)`
`private void`	`sqrtc(double zinr, double zini, double[] zsqr, double[] zsqi)`
`private double`	`zabs(double zr, double zi)`	zabs computes the absolute value or magnitude of a double precision complex variable zr + j*zi.
`private void`	`zlog(double ar, double ai, double[] br, double[] bi, int[] ierr)`	complex logarithm b = clog(a).
`private void`	`zmlt(double ar, double ai, double br, double bi, double[] cr, double[] ci)`	complex multiply c = a * b.
`private void`	`zsin(double inr, double ini, double[] outr, double[] outi)`

Methods inherited from class gov.nih.mipav.model.algorithms.AlgorithmBase
actionPerformed, addListener, addProgressChangeListener, calculateImageSize, calculatePrincipleAxis, computeElapsedTime, computeElapsedTime, convertIntoFloat, delinkProgressToAlgorithm, delinkProgressToAlgorithmMulti, displayError, errorCleanUp, fireProgressStateChanged, fireProgressStateChanged, fireProgressStateChanged, fireProgressStateChanged, fireProgressStateChanged, generateProgressValues, getDestImage, getElapsedTime, getMask, getMaxProgressValue, getMinProgressValue, getNumberOfThreads, getProgress, getProgressChangeListener, getProgressChangeListeners, getProgressModulus, getProgressStep, getProgressValues, getSrcImage, isCompleted, isImage25D, isMultiThreadingEnabled, isRunningInSeparateThread, isThreadStopped, linkProgressToAlgorithm, linkProgressToAlgorithm, makeProgress, notifyListeners, removeListener, removeProgressChangeListener, run, setCompleted, setImage25D, setMask, setMaxProgressValue, setMinProgressValue, setMultiThreadingEnabled, setNumberOfThreads, setProgress, setProgressModulus, setProgressStep, setProgressValues, setProgressValues, setRunningInSeparateThread, setSrcImage, setStartTime, setThreadStopped, startMethod, windowActivated, windowClosed, windowClosing, windowDeactivated, windowDeiconified, windowIconified, windowOpened

Methods inherited from class java.lang.Thread
activeCount, checkAccess, clone, countStackFrames, currentThread, dumpStack, enumerate, getAllStackTraces, getContextClassLoader, getDefaultUncaughtExceptionHandler, getId, getName, getPriority, getStackTrace, getState, getThreadGroup, getUncaughtExceptionHandler, holdsLock, interrupt, interrupted, isAlive, isDaemon, isInterrupted, join, join, join, onSpinWait, resume, setContextClassLoader, setDaemon, setDefaultUncaughtExceptionHandler, setName, setPriority, setUncaughtExceptionHandler, sleep, sleep, start, stop, suspend, toString, yield

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

Constructor Detail
- AlgorithmEllipseToCircle
```
public AlgorithmEllipseToCircle()
```
  AlgorithmEllipseToCircle - default constructor.
- AlgorithmEllipseToCircle
```
public AlgorithmEllipseToCircle(ModelImage destImg,
                                ModelImage srcImg)
```
  AlgorithmEllipseToCircle.
  
  Parameters:
  
  destImg - DOCUMENT ME!
  
  srcImg - DOCUMENT ME!

Method Detail

finalize
```
public void finalize()
```
finalize -

Overrides:

finalize in class AlgorithmBase

runAlgorithm
```
public void runAlgorithm()
```
Starts the program.

Specified by:

runAlgorithm in class AlgorithmBase

zmlt

private void zmlt(double ar,
                  double ai,
                  double br,
                  double bi,
                  double[] cr,
                  double[] ci)

complex multiply c = a * b.

Parameters:: ar - double; ai - double; br - double; bi - double; cr - double[]; ci - double[]

sqrtc

private void sqrtc(double zinr,
                   double zini,
                   double[] zsqr,
                   double[] zsqi)

zabs
```
private double zabs(double zr,
                    double zi)
```
zabs computes the absolute value or magnitude of a double precision complex variable zr + j*zi.

Parameters:

zr - double

zi - double

Returns:

double

zlog

private void zlog(double ar,
                  double ai,
                  double[] br,
                  double[] bi,
                  int[] ierr)

complex logarithm b = clog(a).

Parameters:: ar - double; ai - double; br - double[]; bi - double[]; ierr - int[] ierr = 0, normal return ierr = 1, z = cmplx(0.0, 0.0)

zsin

private void zsin(double inr,
                  double ini,
                  double[] outr,
                  double[] outi)

cosh
```
private double cosh(double x)
```

sinh
```
private double sinh(double x)
```

selfTest
```
private void selfTest()
```

Class AlgorithmEllipseToCircle

Nested Class Summary

Nested classes/interfaces inherited from class java.lang.Thread

Field Summary

Fields inherited from class gov.nih.mipav.model.algorithms.AlgorithmBase

Fields inherited from class java.lang.Thread

Constructor Summary

Method Summary

Methods inherited from class gov.nih.mipav.model.algorithms.AlgorithmBase

Methods inherited from class java.lang.Thread

Methods inherited from class java.lang.Object

Constructor Detail

AlgorithmEllipseToCircle

AlgorithmEllipseToCircle

Method Detail

finalize

runAlgorithm

zmlt

sqrtc

zabs

zlog

zsin

cosh

sinh

selfTest