Scale element proportional to Background Cover with jQuery

Solution for background-size:cover

I am trying to give you solution(or consider as an idea). You can check working demo here. Resize the window to see the result.

First,I didn't understand why you are using transform,top:50% and left:50%for hotspot. So I tried to solve this using minimal use-case and adjusted your markup and css for my convenience.

Here rImage is the aspect ratio of the original image.

 var imageWidth = 1920;
 var imageHeight = 1368;
 var h = {
   x: imageWidth / 2,
   y: imageHeight / 2,
   height: 100,
   width: 50
 };
 var rImage= imageWidth / imageHeight;

In window resize handler,calculate the aspect ration of viewport r. Next,the trick is to find the dimensions of the image when we resize the window. But,viewport will clip the image to maintain aspect ratio. So to calculate the image dimensions we need some formula.

When using background-size:cover to calculate the dimensions of image,below formulas are used.

if(actual_image_aspectratio <= viewport_aspectratio)
    image_width = width_of_viewport
    image_height = width_ofviewport / actual_image_aspectratio 

And

if(actual_image_aspectratio > viewport_aspectratio)
    image_width = height_of_viewport * actual_image_aspectratio 
    image_height = height_of_viewport

You can refer this URL for more understanding on image dimensions calculation when using background-size:cover.

After getting the dimensions of the image, we need to plot the hot-spot coordinates from actual image to new image dimensions.

To fit the image in viewport image will be clipped on top & bottom / left & right of the image. So we should consider this clipped image size as an offset while plotting hotspots.

offset_top=(image_height-viewport_height)/2
offset_left=(image_width-viewport_width)/2

add this offset values to each hotspot's x,y coordnates

var imageWidth = 1920;
var imageHeight = 1368;
var hotspots = [{
  x: 100,
  y: 200,
  height: 100,
  width: 50
}, {
  x: 300,
  y: 500,
  height: 200,
  width: 100
}, {
  x: 600,
  y: 600,
  height: 150,
  width: 100
}, {
  x: 900,
  y: 550,
  height: 100,
  width: 25
}];
var aspectRatio = imageWidth / imageHeight;

$(window).resize(function() {
  positionHotSpots();
});
var positionHotSpots = function() {
  $('.hotspot').remove();
  var wi = 0,
    hi = 0;
  var r = $('#image').width() / $('#image').height();
  if (aspectRatio <= r) {
    wi = $('#image').width();
    hi = $('#image').width() / aspectRatio;
  } else {
    wi = $('#image').height() * aspectRatio;
    hi = $('#image').height();
  }
  var offsetTop = (hi - $('#image').height()) / 2;
  var offsetLeft = (wi - $('#image').width()) / 2;
  $.each(hotspots, function(i, h) {

    var x = (wi * h.x) / imageWidth;
    var y = (hi * h.y) / imageHeight;

    var ww = (wi * (h.width)) / imageWidth;
    var hh = (hi * (h.height)) / imageHeight;

    var hotspot = $('<div>').addClass('hotspot').css({
      top: y - offsetTop,
      left: x - offsetLeft,
      height: hh,
      width: ww
    });
    $('body').append(hotspot);
  });
};
positionHotSpots();
html,
body {
  height: 100%;
  padding: 0;
  margin: 0;
}
#image {
  height: 100%;
  width: 100%;
  background: url('https://upload.wikimedia.org/wikipedia/commons/thumb/0/08/Alexanderplatz_Stadtmodell_1.jpg/1920px-Alexanderplatz_Stadtmodell_1.jpg');
  background-size: cover;
  background-repeat: no-repeat;
  background-position: center;
}
.hotspot {
  position: absolute;
  z-index: 1;
  background: red;
}
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div id='image'></div>

Solution for background-size:contain

When using background-size:contain to calculate the dimensions of image, below formulas are used.

if(actual_image_aspectratio <= viewport_aspectratio)
    image_width = height_of_viewport * actual_image_aspectratio 
    image_height = height_of_viewport

And

if(actual_image_aspectratio > viewport_aspectratio)
    image_width = width_of_viewport
    image_height = width_ofviewport / actual_image_aspectratio

To fit the image in viewport additional space will be added on top & bottom / left & right of the image. So we should consider this space as an offset while plotting hotspots.

offset_top=(viewport_height-image_height)/2
offset_left=(viewport_width-image_width)/2

Add this offset values to each hotspot's x,y coordnates

 var imageWidth = 1920;
 var imageHeight = 1368;
 var hotspots = [{
   x: 100,
   y: 200,
   height: 100,
   width: 50
 }, {
   x: 300,
   y: 500,
   height: 200,
   width: 100
 }, {
   x: 600,
   y: 600,
   height: 150,
   width: 100
 }, {
   x: 900,
   y: 550,
   height: 100,
   width: 25
 }];
 var aspectRatio = imageWidth / imageHeight;

 $(window).resize(function() {
   positionHotSpots();
 });
 var positionHotSpots = function() {
   $('.hotspot').remove();
   var wi = 0,
     hi = 0;

   var r = $('#image').width() / $('#image').height();
   if (aspectRatio <= r) {
     wi = $('#image').height() * aspectRatio;
     hi = $('#image').height();

   } else {
     wi = $('#image').width();
     hi = $('#image').width() / aspectRatio;
   }
   var offsetTop = ($('#image').height() - hi) / 2;
   var offsetLeft = ($('#image').width() - wi) / 2;
   $.each(hotspots, function(i, h) {

     var x = (wi * h.x) / imageWidth;
     var y = (hi * h.y) / imageHeight;

     var ww = (wi * (h.width)) / imageWidth;
     var hh = (hi * (h.height)) / imageHeight;

     var hotspot = $('<div>').addClass('hotspot').css({
       top: y + offsetTop,
       left: x + offsetLeft,
       height: hh,
       width: ww
     });
     $('body').append(hotspot);
   });
 };
 positionHotSpots();
html,
body {
  height: 100%;
  padding: 0;
  margin: 0;
}
#image {
  height: 100%;
  width: 100%;
  background: url('https://upload.wikimedia.org/wikipedia/commons/thumb/0/08/Alexanderplatz_Stadtmodell_1.jpg/1920px-Alexanderplatz_Stadtmodell_1.jpg');
  background-size: contain;
  background-repeat: no-repeat;
  background-position: center;
}
.hotspot {
  position: absolute;
  z-index: 1;
  background: red;
}
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div id='image'></div>

Solution for background-size:100% 100%

This is the solution if someone looking for background-size:100% 100% check the working demo here. Resize the window to see the result.

Here we don't need to calculate the image dimensions as the image will always fit to into the div. So we can just calculate the new coordinates of hotspot using height and width of viewport and actualimage.

var imageWidth = 1920;
var imageHeight = 1368;
var hotspots = [{
  x: 100,
  y: 200,
  height: 100,
  width: 50
}, {
  x: 300,
  y: 500,
  height: 200,
  width: 100
}, {
  x: 600,
  y: 600,
  height: 150,
  width: 100
}, {
  x: 900,
  y: 550,
  height: 100,
  width: 25
}];

$(window).resize(function() {
  positionHotSpots();
});


var positionHotSpots = function() {
  $('.hotspot').remove();

  $.each(hotspots, function(i, h) {
    var x = ($('#image').width() * h.x) / imageWidth;
    var y = ($('#image').height() * h.y) / imageHeight;

    var ww = ($('#image').width() * (h.width)) / imageWidth;
    var hh = ($('#image').height() * (h.height)) / imageHeight;
    var hotspot = $('<div>').addClass('hotspot').css({
      top: y,
      left: x,
      height: hh,
      width: ww
    });
    $('body').append(hotspot);
  });

};
positionHotSpots();
html,
body {
  height: 100%;
  margin: 0;
  padding: 0;
}
#image {
  height: 100%;
  width: 100%;
  background: url('https://upload.wikimedia.org/wikipedia/commons/thumb/0/08/Alexanderplatz_Stadtmodell_1.jpg/1920px-Alexanderplatz_Stadtmodell_1.jpg');
  background-size: 100% 100%;
}
.hotspot {
  position: absolute;
  z-index: 1;
  background: red;
}
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div id='image'></div>

Canvas solution

Based on comment by @JayMee , create a canvas with same dimensions as actual image and draw hotspots as rectangles on the canvas.

One advantage in this approach is we don't have to recalculate the hotspot coordinates on resizing window as the hotspot are drawn in image itself.

 var imageWidth = 1920;
 var imageHeight = 1368;
 var hotspots = [{
   x: 100,
   y: 200,
   height: 100,
   width: 50
 }, {
   x: 300,
   y: 500,
   height: 200,
   width: 100
 }, {
   x: 600,
   y: 600,
   height: 150,
   width: 100
 }, {
   x: 900,
   y: 550,
   height: 100,
   width: 25
 }];

 var positionHotSpots = function() {


   var canvas = document.createElement('canvas');
   canvas.height = imageHeight;
   canvas.width = imageWidth;
   var context = canvas.getContext('2d');
   var imageObj = new Image();
   imageObj.onload = function() {

     context.drawImage(imageObj, 0, 0);

     $.each(hotspots, function(i, h) {
       context.rect(h.x, h.y, h.width, h.height);
     });
     context.fillStyle = "red";
     context.fill();
     $('#image').css('background-image', 'url("' + canvas.toDataURL() + '")');
   };
   imageObj.setAttribute('crossOrigin', 'anonymous');
   imageObj.src = 'https://upload.wikimedia.org/wikipedia/commons/thumb/0/08/Alexanderplatz_Stadtmodell_1.jpg/1920px-Alexanderplatz_Stadtmodell_1.jpg';

 };
 positionHotSpots();
html,
body {
  height: 100%;
  padding: 0;
  margin: 0;
}
#image {
  height: 100%;
  width: 100%;
  background-size: cover;
  background-repeat: no-repeat;
  background-position: center;
}
<!DOCTYPE html>
<html>

<head>
  <script src="https://code.jquery.com/jquery-2.1.4.js"></script>
  <meta charset="utf-8">
  <meta name="viewport" content="width=device-width">
  <title>JS Bin</title>
</head>

<body>
  <div id='image'></div>
</body>

</html>

Okay, so not a lot of people know about the CSS units vh and vw (meaning ViewportHeight and ViewportWidth). I've created a script that runs one time at pageload (unlike some other answers that run at every resize).

It calculates the ratio of the background-image, adds two CSS rules to overlayContainer, and it's done.

There's also a div #square in there, the purpose of which is that we have a container with a ratio of 1:1 as a canvas. This ratio ensures that when you're making the overlaying elements, vertical and horizontal percentual distances are the same.

For background-size: cover, see this Fiddle.

For background-size: contain, see this Fiddle.

The HTML:

<div id="overlayContainer">
  <div id="square">
    <!-- Overlaying elements here -->
  </div>
</div>

The CSS:

#overlayContainer{
  position: absolute; /* Fixed if the background-image is also fixed */
  min-width:  100vw; /* When cover is applied */
  min-height: 100vh; /* When cover is applied */
  max-width:  100vw; /* When contain is applied */
  max-height: 100vh; /* When contain is applied */
  top:  50%;
  left: 50%;
  transform: translate(-50%, -50%);
}

#square{
  position: relative;
  padding-bottom: 100%;
}

/* When placing overlaying elements, make them all absolutely positioned, and work with percentages only */
/* Look at my Fiddles for examples */

The JavaScript (jQuery):

var image = new Image()
image.src = $('body').css('background-image').replace(/url\((['"])?(.*?)\1\)/gi,'$2').split(',')[0]

/* When cover is applied, use this: */
$('#overlayContainer').css({'height':100/(image.width/image.height)+'vw','width':100/(image.height/image.width)+'vh'})

/* When contain is applied, use this: */
$('#overlayContainer').css({'height':100*(image.height/image.width)+'vw','width':100*(image.width/image.height)+'vh'})

Hope this helps


Update by @LGSon

I didn't expect to find a CSS only solution, though here it is, hiding itself in this answer, and therefore I decided to add it into the same.

By adding these 2 lines to the #overlayContainer rule (works for both cover and contain), the script can be dropped.

width:  calc(100vh * (1920 / 1368));
height: calc(100vw * (1368 / 1920));

Of course the script version has the advantage of automatically get the values, though since the hotspot(s) has a specific location point in the background, the image size will most likely be known.

Sample with background-size: cover

html, body {
  height: 100%;
  overflow: hidden;
}

body {
  margin: 0;
  background-image: url('https://upload.wikimedia.org/wikipedia/commons/thumb/0/08/Alexanderplatz_Stadtmodell_1.jpg/1920px-Alexanderplatz_Stadtmodell_1.jpg');
  background-size: cover;
  background-repeat: no-repeat;
  background-position: center;
}

#overlayContainer {
  position: absolute;
  width:  calc(100vh * (1920 / 1368));
  height: calc(100vw * (1368 / 1920));
  min-width:  100vw;     /*  for cover    */
  min-height: 100vh;     /*  for cover    */
  /* max-width:  100vw;      for contain  */
  /* max-height: 100vh;      for contain  */
  top:  50%;
  left: 50%;
  transform: translate(-50%, -50%);
}

#square {
  position: relative;
  padding-bottom: 100%;
}

#square div {
  position: absolute;
  top: 19.75%;
  left: 49.75%;
  width: 4.75%;
  height: 4.75%;
  background-color: rgba(255,0,0,.7);
  border-radius: 50%;
}
<div id="overlayContainer">
  <div id="square">
    <div></div>
  </div>
</div>

Ok, so I tried to use your original idea, and modified only a few bits here and there.

Instead of using percentages, I found it easier to use pixel values. So:

$(this).css({
  'margin-top': yPos + 'px',
  'margin-left': xPos + 'px',
  'width': xSize + 'px',
  'height': ySize + 'px'
});

Then, all we have to do is check the proportion of the viewport to see how we have to modify the div's properties

if (windowAspectRatio > imageAspectRatio) {
  var ratio = windowWidth / imageWidth;
} else {
  var ratio = windowHeight / imageHeight;
}

xPos = xPos * ratio;
yPos = yPos * ratio;
xSize = xSize * ratio;
ySize = ySize * ratio;

Working example: http://codepen.io/jaimerodas/pen/RaGQVm

Stack snippet

var imageWidth = 1920,
    imageHeight = 1368,
    imageAspectRatio = imageWidth / imageHeight,
    $window = $(window);

var hotSpots = [{
  x: -210,
  y: -150,
  height: 250,
  width: 120
}, {
  x: 240,
  y: 75,
  height: 85,
  width: 175
}];

function appendHotSpots() {
  for (var i = 0; i < hotSpots.length; i++) {
    var $hotSpot = $('<div>').addClass('hot-spot');
    $('.container').append($hotSpot);
  }
  positionHotSpots();
}



function positionHotSpots() {
  var windowWidth = $window.width(),
    windowHeight = $window.height(),
    windowAspectRatio = windowWidth / windowHeight,
    $hotSpot = $('.hot-spot');

  $hotSpot.each(function(index) {
    var cambio = 1,
        xPos = hotSpots[index]['x'],
        yPos = hotSpots[index]['y'],
        xSize = hotSpots[index]['width'],
        ySize = hotSpots[index]['height'],
        desiredLeft = 0,
        desiredTop = 0;
    
    if (windowAspectRatio > imageAspectRatio) {
      var ratio = windowWidth / imageWidth;
    } else {
      var ratio = windowHeight / imageHeight;
    }
    
    xPos = xPos * ratio;
    yPos = yPos * ratio;
    xSize = xSize * ratio;
    ySize = ySize * ratio;

    $(this).css({
      'margin-top': yPos + 'px',
      'margin-left': xPos + 'px',
      'width': xSize + 'px',
      'height': ySize + 'px'
    });

  });
}

appendHotSpots();
$(window).resize(positionHotSpots);
html, body {
  margin: 0;
  width: 100%;
  height: 100%;
}

.container {
  width: 100%;
  height: 100%;
  position: relative;
  background-image: url(https://upload.wikimedia.org/wikipedia/commons/thumb/0/08/Alexanderplatz_Stadtmodell_1.jpg/1920px-Alexanderplatz_Stadtmodell_1.jpg);
  background-size: cover;
  background-repeat: no-repeat;
  background-position: center;
}

.hot-spot {
  background-color: red;
  border-radius: 0;
  position: absolute;
  top: 50%;
  left: 50%;
  z-index: 1;
  opacity: 0.8;
  content: "";
}
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div class="container"></div>