PolynomialTransform2D (Fiji Javadocs 0-SNAPSHOT API)

java.lang.Object
- mpicbg.models.PolynomialTransform2D

All Implemented Interfaces:

Serializable, CoordinateTransform

Direct Known Subclasses:

PolynomialTransform2D
```
public class PolynomialTransform2D
extends Object
implements CoordinateTransform
```
Author:

Stephan Saalfeld <saalfelds@janelia.hhmi.org>

See Also:

Serialized Form

Field Summary

Fields
Modifier and Type	Field and Description
`protected double[]`	`a` holds two coefficients for each polynomial coefficient, including 1 initialized at 0 order, i.e.
`protected int`	`order` order of the polynomial transform
`protected double[]`	`polTerms` register to hold all polynomial terms during applyInPlace following the order specified at http://bishopw.loni.ucla.edu/AIR5/2Dnonlinear.html#polylist excluding 1 because we want to avoid repeated multiplication with 1

Constructor Summary

Constructors
Constructor and Description

PolynomialTransform2D()

Constructors
Constructor and Description
`PolynomialTransform2D()`

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`double[]`	`apply(double[] location)` Apply the `CoordinateTransform` to a location.
`void`	`applyInPlace(double[] location)` Apply the `CoordinateTransform` to a location.
`static void`	`main(String... args)`
`static int`	`numPolTerms(int order)` Calculate the number of polynomial terms for a 2d polynomial transform of given order.
`static int`	`orderOf(int numPolTerms)` Calculate the maximum order of a polynom whose number of polyynomial terms is smaller or equal a given number.
`protected void`	`populateTerms(double x, double y)`
`protected void`	`printTerms()`
`void`	`set(double... a)` Set the coefficients.

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

- Field Detail
  - order
```
protected int order
```
    order of the polynomial transform
  - a
```
protected double[] a
```
    holds two coefficients for each polynomial coefficient, including 1 initialized at 0 order, i.e. translation, the order follows that specified at http://bishopw.loni.ucla.edu/AIR5/2Dnonlinear.html#polylist two times
  - polTerms
```
protected double[] polTerms
```
    register to hold all polynomial terms during applyInPlace following the order specified at http://bishopw.loni.ucla.edu/AIR5/2Dnonlinear.html#polylist excluding 1 because we want to avoid repeated multiplication with 1
- Constructor Detail
  - PolynomialTransform2D
```
public PolynomialTransform2D()
```
- Method Detail
  - orderOf
```
public static final int orderOf(int numPolTerms)
```
    Calculate the maximum order of a polynom whose number of polyynomial terms is smaller or equal a given number.
    
    Parameters:
    
    numPolTerms -
    
    Returns:
  - numPolTerms
```
public static final int numPolTerms(int order)
```
    Calculate the number of polynomial terms for a 2d polynomial transform of given order.
    
    Parameters:
    
    order -
    
    Returns:
  - set
```
public void set(double... a)
```
    Set the coefficients. The number of coefficients implicitly specifies the order of the PolynomialTransform2D which is set to the highest order that is fully specified by the provided coefficients. The coefficients are interpreted in the order specified at http://bishopw.loni.ucla.edu/AIR5/2Dnonlinear.html#polylist , first for x', then for y'. It is thus not possible to omit higher order coefficients assuming that they would become 0. The passed vararg array is used directly without copy which enables direct access to the coefficients from calling code. Use this option wisely.
    
    Parameters:
    
    a - coefficients
  - populateTerms
```
protected void populateTerms(double x,
                             double y)
```
  - printTerms
```
protected void printTerms()
```
  - apply
```
public double[] apply(double[] location)
```
    Description copied from interface: CoordinateTransform
    
    Apply the CoordinateTransform to a location.
    
    Specified by:
    
    apply in interface CoordinateTransform
    
    Returns:
    
    transformed location
  - applyInPlace
```
public void applyInPlace(double[] location)
```
    Description copied from interface: CoordinateTransform
    
    Apply the CoordinateTransform to a location.
    
    Specified by:
    
    applyInPlace in interface CoordinateTransform
  - main
```
public static final void main(String... args)
```

Class PolynomialTransform2D

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

order

a

polTerms

Constructor Detail

PolynomialTransform2D

Method Detail

orderOf

numPolTerms

set

populateTerms

printTerms

apply

applyInPlace

main