Wow, thanks Giles! What you said worked like a charm!
It finally got to work.
With the code below, i can draw my selection from 
anywhere in the image, to anywhere in the image,
and the selection will correspond perfectly!
Greets,
Vincent. 
Code:
int venster,start,geslacht,startX,startY;
int startX_klein,startY_klein,moveX,moveY;
PImage klas,selectie,klas_klein;
PFont lettertype1;
void setup(){
  
   size(500,500);
   textAlign(CENTER);
   imageMode(CENTER);
   lettertype1=createFont("Verdana",20);
   textFont(lettertype1);
   klas_klein=loadImage("klas_klein.jpg");
   klas=loadImage("klas.jpg");}
   
   
void mousePressed(){
  
  if(venster==2){
    
   if((mouseX>=70)&&
	(mouseX<=430)&&
	(mouseY>=165)&&
	(mouseY<=335)){
	  
    start=1;
    startX_klein=mouseX;
    startY_klein=mouseY;}}}
void mouseReleased(){
  
  if(venster==0){
    
   if((mouseX>=215)&&
	(mouseX<=285)&&
	(mouseY>=235)&&
	(mouseY<=265)){
			  
    {venster=1;}}}
  if(venster>0){ 
    
   if((mouseX>=30)&&
	(mouseX<=100)&&
	(mouseY>=30)&&
	(mouseY<=60))
			 
    {start=0;
     venster=venster-1;}}
  if(venster==1){
    
   if((mouseX>=140)&&
	(mouseX<=210)&&
	(mouseY>=235)&&
	(mouseY<=265))
	
    {geslacht=1; 
     venster=2;}
   if((mouseX>=290)&&
	(mouseX<=360)&&
	(mouseY>=235)&&
	(mouseY<=265))
						  
    {geslacht=2;
     venster=2;}}
  if(venster==2){
    
   if(start==1){
   
    if((mouseX<70)||
	(mouseX>430)||
	(mouseY<165)||
	(mouseY>335))
			 
     {start=0;}
     
    if((mouseX>=70)&&
	 (mouseX<=430)&&
	 (mouseY>=165)&&
	 (mouseY<=335))
			  
     {background(255);
	float startX=map(startX_klein,70,430,0,1440);
	float startY=map(startY_klein,165,335,0,680);
	float moveX=map(mouseX,70,430,0,1440);
	float moveY=map(mouseY,165,335,0,680);
	selectie=klas.get(min(int(moveX),int(startX)),
	min(int(moveY),int(startY)),abs(int(moveX)-int(startX)),
	abs(int(moveY)-int(startY)));
	venster=3;}}}}
	
	
void draw(){
  
  if(venster>0)
  
   {background(255);
    fill(255);
    rect(30,30,70,30);
    fill(0);
    text("<-",65,53);}
    
  if(venster==0)
  
   {background(255);
    fill(0);
    rect(215,235,70,30);
    text("Welcome to the Body-program.",250,450);
    fill (255);
    text("Start",250,257);}
    
  if(venster==1)
  
   {fill(0);
    rect(150,235,60,30);
    rect(290,235,60,30);
    text("First choose your gender.",250,450);
    fill(255);
    text("M",180,257);
    text("F",320,257);}
    
  if(venster==2){
    
   {fill(0);
    rect(65,160,370,180);
    text("Now select your head.",250,450);
    image(klas_klein,250,250);}
    
    if(start==1)
    
     {fill(255,50);
	rect(startX_klein,startY_klein,
	mouseX-startX_klein,mouseY-startY_klein);}}
	
  if(venster==3)
  
   {text("Is this the head you wanted?",250,450);
    image(selectie,250,250);}}