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

All Implemented Interfaces:

java.awt.event.ActionListener, java.awt.event.WindowListener, java.lang.Runnable, java.util.EventListener
```
public class AlgorithmHepticLagrangian
extends AlgorithmBase
```
This is a polynomial p of degree 7 which interpolates a given function f at the points x(-3), x(-2), x(-1), x(0), x(1), x(2), x(3), and x(4) and is given by p(x) = sum from i = -3 to i = 4 of li(x)*f(xi), where li, i = -3,-2,-1,0,1,2,3,4 which are called the fundamental polynomials, are given by li(x) = product from k = -3 to k = 4 for k != i of (x - xk)/(xi - xk). li(-3) = (x - -2)/(-3 - -2) * (x - -1)/(-3 - -1) * (x - 0)/(-3 - 0) * (x-1)/(-3 - 1) * (x - 2)/(-3 - 2) * (x - 3)/(-3 - 3) * (x - 4)/(-3 - 4) = (x * (x*x - 1) * (x*x - 4) * (x - 3) * (4 - x))/5040 li(-2) = (x - -3)/(-2 - -3) * (x - -1)/(-2 - -1) * (x - 0)/(-2 - 0) * (x-1)/(-2 - 1) * (x-2)/(-2 - 2) * (x-3)/(-2 - 3) * (x - 4)/(-2 - 4) = (x * (x*x - 1) * (x - 2) * (x*x - 9) * (x - 4))/720 li(-1) = (x - -3)/(-1 - -3) * (x - -2)/(-1 - -2) * (x - 0)/(-1 - 0)* (x-1)/(-1 - 1) * (x - 2)/(-1 - 2) * (x - 3)/(-1 - 3) * (x - 4)/(-1 - 4) = (x * (x - 1) * (x*x- 4) * (x*x - 9) * (4 - x)))/240 li(0) = (x - -3)/(0 - -3) * (x - -2)/(0 - -2) * (x - -1)/(0 - -1) * (x - 1)/(0 - 1) * (x - 2)/(0 - 2) * (x - 3)/(0 - 3) * (x - 4)/(0 - 4) = ((x*x - 1) * (x*x - 4) * (x*x - 9) * (x - 4))/144 li(1) = (x - -3)/(1 - -3) * (x - -2)/(1 - -2) * (x - -1)/(1 - -1) * (x - 0)/(1 - 0) * (x - 2)/(1 - 2) * (x - 3)/(1 - 3) * (x - 4)/(1 - 4) = (x * (x+1) * (x*x - 4) * (x*x - 9) * (4 - x))/144 li(2) = (x - -3)/(2 - -3) * (x - -2)/(2 - -2) * (x - -1)/(2 - -1) * (x - 0)/(2 - 0) * (x - 1)/(2 - 1) * (x - 3)/(2 - 3) * (x - 4)/(2 - 4) = (x * (x*x - 1) * (x+2) * (x*x - 9) * (x - 4))/240 li(3) = (x - -3)/(3 - -3) *(x - -2)/(3 - -2) * (x - -1)/(3 - -1) * (x - 0)/(3 - 0) * (x - 1)/(3 - 1) * (x - 2)/(3 - 2) * (x - 4)/(3 - 4) = (x * (x*x - 1) * (x*x - 4) * (x + 3) * (4 - x))/720 li(4) = (x - -3)/(4 - -3) * (x - -2)/(4 - -2) * (x - -1)/(4 - -1) * (x - 0)/(4 - 0) * (x - 1)/(4 - 1) * (x - 2)/(4 - 2) * (x - 3)/(4 - 3) = (x * (x*x - 1) * (x*x - 4) * (x*x - 9))/5040

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

Field Summary

Fields
Modifier and Type	Field	Description
`private double`	`alphaMax`	DOCUMENT ME!
`private double`	`alphaMin`	DOCUMENT ME!
`private double`	`blueMax`	DOCUMENT ME!
`private double`	`blueMin`	DOCUMENT ME!
`private boolean`	`clip`	DOCUMENT ME!
`private double`	`greenMax`	DOCUMENT ME!
`private double`	`greenMin`	DOCUMENT ME!
`private double`	`inputMax`	DOCUMENT ME!
`private double`	`inputMin`	DOCUMENT ME!
`private double`	`redMax`	DOCUMENT ME!
`private double`	`redMin`	DOCUMENT ME!
`private int`	`sliceSize`	DOCUMENT ME!
`private double[]`	`volume`	DOCUMENT ME!
`private double[][]`	`wt`	DOCUMENT ME!
`private int`	`xD`	DOCUMENT ME!
`private int`	`xdim`	DOCUMENT ME!
`private int`	`yD`	DOCUMENT ME!
`private int`	`ydim`	DOCUMENT ME!
`private int`	`zD`	DOCUMENT ME!
`private int`	`zdim`	DOCUMENT ME!

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

AlgorithmHepticLagrangian()
AlgorithmHepticLagrangian - default constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`void`	`finalize()`	finalize -
`double`	`hepticLagrangian2D(double x, double y)`	2D heptic Lagrangian function.
`double[]`	`hepticLagrangian2DC(double x, double y)`	2D heptic Lagrangian function for color.
`double`	`hepticLagrangian3D(double x, double y, double z)`	3D heptic Lagrangian function.
`double[]`	`hepticLagrangian3DC(double x, double y, double z)`	3D heptic Lagrangian function for color (3 channel images).
`void`	`runAlgorithm()`	run - default method that is not really appropiate for this class but must be defined because this class extends AlgorithmBase.
`void`	`setup2DHepticLagrangian(double[] vol, int[] extents, boolean clip)`	Setup 2D hepticLagrangian.
`void`	`setup2DHepticLagrangianC(double[] vol, int[] extents, float argbMax, boolean clip)`	Setup 2D hepticLagrangian for color.
`void`	`setup3DHepticLagrangian(double[] vol, int[] extents, boolean clip)`	Setup 3D heptic Lagrangian.
`void`	`setup3DHepticLagrangianC(double[] vol, int[] extents, float argbMax, boolean clip)`	Setup 3D heptic Lagrangian for color.

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

- Field Detail
  - alphaMax
```
private double alphaMax
```
    DOCUMENT ME!
  - alphaMin
```
private double alphaMin
```
    DOCUMENT ME!
  - blueMax
```
private double blueMax
```
    DOCUMENT ME!
  - blueMin
```
private double blueMin
```
    DOCUMENT ME!
  - clip
```
private boolean clip
```
    DOCUMENT ME!
  - greenMax
```
private double greenMax
```
    DOCUMENT ME!
  - greenMin
```
private double greenMin
```
    DOCUMENT ME!
  - inputMax
```
private double inputMax
```
    DOCUMENT ME!
  - inputMin
```
private double inputMin
```
    DOCUMENT ME!
  - redMax
```
private double redMax
```
    DOCUMENT ME!
  - redMin
```
private double redMin
```
    DOCUMENT ME!
  - sliceSize
```
private int sliceSize
```
    DOCUMENT ME!
  - volume
```
private double[] volume
```
    DOCUMENT ME!
  - wt
```
private double[][] wt
```
    DOCUMENT ME!
  - xD
```
private int xD
```
    DOCUMENT ME!
  - yD
```
private int yD
```
    DOCUMENT ME!
  - zD
```
private int zD
```
    DOCUMENT ME!
  - xdim
```
private int xdim
```
    DOCUMENT ME!
  - ydim
```
private int ydim
```
    DOCUMENT ME!
  - zdim
```
private int zdim
```
    DOCUMENT ME!
- Constructor Detail
  - AlgorithmHepticLagrangian
```
public AlgorithmHepticLagrangian()
```
    AlgorithmHepticLagrangian - default constructor.
- Method Detail
  - finalize
```
public void finalize()
```
    finalize -
    
    Overrides:
    
    finalize in class AlgorithmBase
  - hepticLagrangian2D
```
public double hepticLagrangian2D(double x,
                                 double y)
```
    2D heptic Lagrangian function.
    
    Parameters:
    
    x - double point index
    
    y - double point index
    
    Returns:
    
    the heptic Lagrangian interpolated data point
  - hepticLagrangian2DC
```
public double[] hepticLagrangian2DC(double x,
                                    double y)
```
    2D heptic Lagrangian function for color.
    
    Parameters:
    
    x - double point index
    
    y - double point index
    
    Returns:
    
    the heptic Lagrangian interpolated data point
  - hepticLagrangian3D
```
public final double hepticLagrangian3D(double x,
                                       double y,
                                       double z)
```
    3D heptic Lagrangian function.
    
    Parameters:
    
    x - double point index
    
    y - double point index
    
    z - double point index
    
    Returns:
    
    the hepticLagrangian3D interpolated data point
  - hepticLagrangian3DC
```
public double[] hepticLagrangian3DC(double x,
                                    double y,
                                    double z)
```
    3D heptic Lagrangian function for color (3 channel images).
    
    Parameters:
    
    x - double point index
    
    y - double point index
    
    z - double point index
    
    Returns:
    
    the hepticLagrangian3D interpolated data point
  - runAlgorithm
```
public void runAlgorithm()
```
    run - default method that is not really appropiate for this class but must be defined because this class extends AlgorithmBase.
    
    Specified by:
    
    runAlgorithm in class AlgorithmBase
  - setup2DHepticLagrangian
```
public void setup2DHepticLagrangian(double[] vol,
                                    int[] extents,
                                    boolean clip)
```
    Setup 2D hepticLagrangian.
    
    Parameters:
    
    vol - volume comprising control points for the heptic Lagrangian
    
    extents - vol extents (xdim, ydim)
    
    clip - if true clip output to range of input image
  - setup2DHepticLagrangianC
```
public void setup2DHepticLagrangianC(double[] vol,
                                     int[] extents,
                                     float argbMax,
                                     boolean clip)
```
    Setup 2D hepticLagrangian for color.
    
    Parameters:
    
    vol - volume comprising control points for the heptic Lagrangian
    
    extents - vol extents (xdim, ydim)
    
    argbMax - maximum possible color value
    
    clip - if true clip output to range of input image
  - setup3DHepticLagrangian
```
public void setup3DHepticLagrangian(double[] vol,
                                    int[] extents,
                                    boolean clip)
```
    Setup 3D heptic Lagrangian.
    
    Parameters:
    
    vol - volume comprising control points for the heptic Lagrangian
    
    extents - vol extents (xdim, ydim, zdim)
    
    clip - if true clip output to range of input image
  - setup3DHepticLagrangianC
```
public void setup3DHepticLagrangianC(double[] vol,
                                     int[] extents,
                                     float argbMax,
                                     boolean clip)
```
    Setup 3D heptic Lagrangian for color.
    
    Parameters:
    
    vol - volume comprising control points for the heptic Lagrangian
    
    extents - vol extents (xdim, ydim, zdim)
    
    argbMax - maximum possible color value
    
    clip - if true clip output to range of input image

Class AlgorithmHepticLagrangian

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

Field Detail

alphaMax

alphaMin

blueMax

blueMin

clip

greenMax

greenMin

inputMax

inputMin

redMax

redMin

sliceSize

volume

wt

xD

yD

zD

xdim

ydim

zdim

Constructor Detail

AlgorithmHepticLagrangian

Method Detail

finalize

hepticLagrangian2D

hepticLagrangian2DC

hepticLagrangian3D

hepticLagrangian3DC

runAlgorithm

setup2DHepticLagrangian

setup2DHepticLagrangianC

setup3DHepticLagrangian

setup3DHepticLagrangianC