Package gov.nih.mipav.model.algorithms

Class AlgorithmNearlyCircleToCircle

java.lang.Object

java.lang.Thread

gov.nih.mipav.model.algorithms.AlgorithmBase

gov.nih.mipav.model.algorithms.AlgorithmNearlyCircleToCircle

All Implemented Interfaces:

ActionListener, WindowListener, Runnable, EventListener

public class AlgorithmNearlyCircleToCircle
extends AlgorithmBase

This program performs the conformal mapping of a nearly circular region to a circle. The conformal mapping is done in 3 steps: 1.) Translate the circle from the center of the square image to the origin and convert to a unit disc by dividing the distance from the center by the radius. 2.) Map from the unit circle to a unit nearly circular region at the origin. 3.) Map from the unit nearly circlular region at the origin to the original nearly circular region by 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.) Conformal Mapping by Zeev Nehari, Dover Publications, Inc., 1952, Chapter V, Conformal Mapping of Simply Connected Domains, Section 11, Conformal Mapping of Nearly Circular Domains, pp. 263 - 265. 3.) "On the Conformal Mapping of Nearly-Circular Domains" by Zeev Nehari and Vikramaditya Singh, Proceedings of the American Mathematical Society, 1956, pp. 370-378. According to the Nehari book: The function: F(z) = z + ((eps*z)/(2*PI))*Integral from 0 to 2*PI of ((exp(i*theta) + z)/(exp(i*theta) - z))*p(theta)d(theta) maps abs(z) invalid input: '<' 1 onto the nearly circular domain whose boundary has the polar equation r = 1 + eps*p(theta), where p(theta) is bounded and piecewise continuous and eps is a small positive parameter. The Nehari article further assumes: p(theta) > 0. Multiply both the numerator and the denominator of the integral by (exp(i*theta) - z)* = (exp(-i*theta) - z*) to create a real denominator denom = 1 - 2xcos(theta) - 2ysin(theta) + x**2 + y**2 The real part of the integral equals: Integral from 0 to 2*PI of ((1 - x**2 - y**2)/denom)p(theta)d(theta) The imaginary part of the integral equals: Integral from 0 to 2*PI of ((-2xsin(theta) + 2ycos(theta))/denom)p(theta)d(theta) 0 to 2*PI direction would be counterclockwise. Suppose curve is clockwise, then the theta increments are negative. So both a counterclockwise integral and the negative of the clockwise integral are realized by taking the absolute value of the theta angle increment.

Nested Class Summary

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

Thread.Builder, Thread.State, 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
AlgorithmNearlyCircleToCircle()	AlgorithmNearlyCircleToCircle - default constructor.
AlgorithmNearlyCircleToCircle(ModelImage destImg, ModelImage srcImg)	AlgorithmNearlyCircleToCircle.

Method Summary

Modifier and Type	Method	Description
void	finalize()	finalize -
void	runAlgorithm()	Starts the program.
private void	selfTest()
private void	zmlt(double ar, double ai, double br, double bi, double[] cr, double[] ci)	complex multiply c = a * b.

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, isVirtual, join, join, join, join, ofPlatform, ofVirtual, onSpinWait, resume, setContextClassLoader, setDaemon, setDefaultUncaughtExceptionHandler, setName, setPriority, setUncaughtExceptionHandler, sleep, sleep, sleep, start, startVirtualThread, stop, suspend, threadId, toString, yield

Methods inherited from class java.lang.Object

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

Constructor Details

AlgorithmNearlyCircleToCircle

public AlgorithmNearlyCircleToCircle()

AlgorithmNearlyCircleToCircle - default constructor.

AlgorithmNearlyCircleToCircle

public AlgorithmNearlyCircleToCircle(ModelImage destImg,
 ModelImage srcImg)

AlgorithmNearlyCircleToCircle.

Parameters:

destImg - DOCUMENT ME!

srcImg - DOCUMENT ME!

Method Details

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[]

selfTest

private void selfTest()