将背景过滤器应用于svg path元素

我有一个带有一些背景图片的页面.

在body标签中,我有一个只有一个内部路径元素的svg元素.

如何将path-filter添加到路径元素,以便它可以模糊非矩形形状的背景？

$(function() {

  var pattern = "M0,{offsetTop} C{ax1},{power},{ax2},{power},{width},{offsetTop} L{width},{height},0,{height}Z";

  var $svg = $('svg#footer');
  var $path = $svg.find('path');

  var settings = {
    width: 1200,
    height: 200,
    offsetTop: 200,
    power: 200
  }

  settings.ax1 = settings.width / 3 * 1;
  settings.ax2 = settings.width / 3 * 2;

  function render() {
    var newPath = pattern;
    for (var i in settings) {
      newPath = newPath.split('{' + i + '}').join(settings[i]);
    }
    $path.attr('d', newPath);
  }

  TweenMax.set($svg, {
    force3D: true
  })

  var opened = false;

  function open() {
    if (opened) {
      return
    }
    opened = true;
    TweenMax.to(settings, 0.35, {
      overwrite: true,
      offsetTop: 80,
      ease: Strong.easeOut,
      onUpdate: render
    })
    TweenMax.to(settings, 1, {
      power: 80,
      ease: Elastic.easeOut,
      onUpdate: render
    })
  }

  function close() {
    if (!opened) {
      return
    }
    opened = false;
    TweenMax.to(settings, 0.35, {
      overwrite: true,
      offsetTop: 200,
      ease: Back.easeIn,
      onUpdate: render
    })
    TweenMax.to(settings, 0.35, {
      power: 200,
      delay: 0.15,
      ease: Back.easeOut,
      onUpdate: render
    })
  }

  $(window).on('mousedown touchstart', function(e) {
    opened ? close() : open();
  })

  open();
})

html,
body {
  margin: 0;
  padding: 0;
  width: 100%;
  height: 100%;
}

body {
  background-image: url('http://i839.photobucket.com/albums/zz314/mrkanpuc/stuffs/1PZ1.jpg');
  background-repeat: no-repeat;
  background-size: cover;
}

svg {
  position: absolute;
  bottom: 0;
  width: 100%;
  height: 200px;
}

svg path {
  fill: rgba(0, 0, 0, 0.5);
}