WelzlEncloser (Hipparchus 1.4 API)

java.lang.Object
- org.hipparchus.geometry.enclosing.WelzlEncloser<S,P>

Type Parameters:

S - Space type.

P - Point type.

All Implemented Interfaces:

Encloser<S,P>
```
public class WelzlEncloser<S extends Space,P extends Point<S>>
extends Object
implements Encloser<S,P>
```
Class implementing Emo Welzl algorithm to find the smallest enclosing ball in linear time.
The class implements the algorithm described in paper Smallest Enclosing Disks (Balls and Ellipsoids) by Emo Welzl, Lecture Notes in Computer Science 555 (1991) 359-370. The pivoting improvement published in the paper Fast and Robust Smallest Enclosing Balls, by Bernd Gärtner and further modified in paper Efficient Computation of Smallest Enclosing Balls in Three Dimensions by Linus Källberg to avoid performing local copies of data have been included.

Constructor Summary

Constructors
Constructor Description

WelzlEncloser(double tolerance, SupportBallGenerator<S,P> generator)
Simple constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`EnclosingBall<S,P>`	`enclose(Iterable<P> points)`	Find a ball enclosing a list of points.
`P`	`selectFarthest(Iterable<P> points, EnclosingBall<S,P> ball)`	Select the point farthest to the current ball.

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

- Constructor Detail
  - WelzlEncloser
```
public WelzlEncloser(double tolerance,
                     SupportBallGenerator<S,P> generator)
```
    Simple constructor.
    
    Parameters:
    
    tolerance - below which points are consider to be identical
    
    generator - generator for balls on support
- Method Detail
  - enclose
```
public EnclosingBall<S,P> enclose(Iterable<P> points)
```
    Find a ball enclosing a list of points.
    
    Specified by:
    
    enclose in interface Encloser<S extends Space,P extends Point<S>>
    
    Parameters:
    
    points - points to enclose
    
    Returns:
    
    enclosing ball
  - selectFarthest
```
public P selectFarthest(Iterable<P> points,
                        EnclosingBall<S,P> ball)
```
    Select the point farthest to the current ball.
    
    Parameters:
    
    points - points to be enclosed
    
    ball - current ball
    
    Returns:
    
    farthest point