GaussianMultiDLM (Fiji Javadocs 0-SNAPSHOT API)

java.lang.Object
- mpicbg.imglib.algorithm.peak.GaussianMultiDLM

All Implemented Interfaces:

FitFunction
```
public class GaussianMultiDLM
extends Object
implements FitFunction
```
A n-dimensional Gaussian peak function, representing an elliptical Gaussian, with axis constrained to be aligned with the main axis.
This fitting target function is defined over dimension n, by the following 2n+1 parameters:
```
k = 0       - A
k = 1..n    - x₀ᵢ (with i = k-1)
k = n+1..2n - bᵢ (with i = k-n-1)
```
with
```
f(x) = A × exp( - S )
```
and
```
S = ∑ bᵢ × (xᵢ - x₀ᵢ)² 
```
Author:

Jean-Yves Tinevez 2012

Constructor Summary

Constructors
Constructor and Description

GaussianMultiDLM()

Constructors
Constructor and Description
`GaussianMultiDLM()`

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`double`	`grad(double[] x, double[] a, int k)` Partial derivatives indices are ordered as follow:
`double`	`hessian(double[] x, double[] a, int r, int c)` Not used but hey.
`double`	`val(double[] x, double[] a)` Evaluate this function at point `x`.

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

- Constructor Detail
  - GaussianMultiDLM
```
public GaussianMultiDLM()
```
- Method Detail
  - val
```
public final double val(double[] x,
                        double[] a)
```
    Description copied from interface: FitFunction
    
    Evaluate this function at point x. The function is otherwise defined over an array of parameters a, that is the target of the fitting procedure.
    
    Specified by:
    
    val in interface FitFunction
    
    Parameters:
    
    x - the multidimensional to evaluate the fonction at
    
    a - the set of parameters that defines the function
    
    Returns:
    
    a double value, the function evaluated at x
  - grad
```
public final double grad(double[] x,
                         double[] a,
                         int k)
```
    Partial derivatives indices are ordered as follow:
```
k = 0       - A
k = 1..n    - x_i (with i = k-1)
k = n+1..2n - b_i (with i = k-n-1)
```
    Specified by:
    
    grad in interface FitFunction
    
    Parameters:
    
    x - the point to evaluate the gradient at
    
    a - the set of parameters that defines the function
    
    k - the index of the parameter to compute the gradient
    
    Returns:
    
    the kth component of the gradient df(x,a)/da_k
    
    See Also:
    
    FitFunction.val(double[], double[])
  - hessian
```
public final double hessian(double[] x,
                            double[] a,
                            int r,
                            int c)
```
    Not used but hey.
    
    Returns:
    
    the hessian value for row r and column c

Class GaussianMultiDLM

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

GaussianMultiDLM

Method Detail

val

grad

hessian