function bg_img_resize() 
{
var w = $(window).width();
var h = $(window).height();
var iw = $('#the-background img').attr('width');
var ih = $('#the-background img').attr('height');
var rw = iw / ih;
var rh = ih / iw;
var sc = h * rw;
  if (sc >= w) {
   nh = h;
   nw = sc;
  } else {
      sc = w * rh;
       nh = sc;
      nw = w;
     }
  $('#the-background img').css({height: nh, width: nw});
 }
$(document).ready(function(){ bg_img_resize(); });
 $(window).resize(function(){ bg_img_resize(); });