diff --git a/src/main/java/Presenter/Algorithms/LeastMedianOfSquaresEstimator.java b/src/main/java/Presenter/Algorithms/LeastMedianOfSquaresEstimator.java
index 3d3752c..3b116ad 100644
--- a/src/main/java/Presenter/Algorithms/LeastMedianOfSquaresEstimator.java
+++ b/src/main/java/Presenter/Algorithms/LeastMedianOfSquaresEstimator.java
@@ -1,11 +1,9 @@
 package Presenter.Algorithms;
 
 import Model.Coordinates;
+import sun.awt.image.ImageWatched;
 
-import java.util.Iterator;
-import java.util.LinkedList;
-import java.util.Set;
-import java.util.TreeSet;
+import java.util.*;
 
 /**
  * Implementierung verschiedener Algorithmen zur Berechnung von Ausgleichsgeraden.
@@ -18,6 +16,7 @@ public class LeastMedianOfSquaresEstimator extends Algorithm {
 
 
     private LinkedList<Coordinates> set = new LinkedList<>();
+    private LinkedList<Coordinates> sortedIntersections = new LinkedList<>();
     private int n;
     private double quantile = 0.5;
     private double quantileError;
@@ -32,6 +31,8 @@ public class LeastMedianOfSquaresEstimator extends Algorithm {
     private double umin;
     private double umax;
     private double heightsigmaMin;
+    private Coordinates sigmaMinStart;
+    private Coordinates sigmaMinEnd;
     private int numberOfIntersections;
     private final int constant = 1;
     private Coordinates kMinusBracelet;
@@ -119,10 +120,35 @@ public class LeastMedianOfSquaresEstimator extends Algorithm {
     }
 
     public void upperBound(double point){
+        ArrayList<Coordinates> temp = new ArrayList<>();
+        ArrayList<Double> min = new ArrayList<>();
+        double height;
+        for (Coordinates p : set) {
+                temp.add(new Coordinates(point, (p.getX() * point) + p.getY()));
+        }
+
+        Collections.sort(temp);
+
+        for (int i=1;i<(n-(kMinus+1));i++){
+            height = temp.get(i+(((int) kMinus) - 1)).getY() - temp.get(i).getY();
+
+            if (height < heightsigmaMin)
+                sigmaMinStart = new Coordinates(point, temp.get(i+(((int) kMinus) - 1)).getY());
+                sigmaMinEnd   = new Coordinates(point, temp.get(i).getY());
+        }
 
     }
 
     public void lowerBound(Slab slab){
+        double[] alpha = new double[n];
+        double[] beta  = new double[n];
+
+        alpha[0] = 0;
+        beta[0]  = 0;
+
+        for (int i=1;i < n; i++){
+            
+        }
 
         // if Ui is active on return add it to the list of active slabs..!!!
     }