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HTML 

              
                
<div class="box">
  <div class="image-wrap">
    <div class="image image-0"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>Sugar plum</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-1"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>apple pie</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-2"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>gummy bears</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-3"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>sesame snaps</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-4"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>chupa chups</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-5"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>chocolate cookie</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-6"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>cheescake muffin</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-7"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>sweet toffee</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-8"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>carrot cake</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-9"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>lollipop</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-10"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>macaroon</span>
  </div>
</div>

<div class="box">
  <div class="image-wrap">
    <div class="image image-11"></div>
  </div>
  <div class="border"></div>
  <div class="text">
    <span>lemon tart</span>
  </div>
</div>

<div class="unsplash-info">all images in this demo are from <a target="_blank" href="https://unsplash.com">unsplash.com</a></div>
!

CSS 

              
                html, body {
  width: 100%;
}

body {
  font-size: 40px;
  font-family: 'Bungee Shade', cursive;
  color: #222;
  background: #222;
}

.box {
  position: relative;
  overflow: hidden;
  cursor: pointer;
  float: left;
  
  &:hover {
    .border {
      transform: scale(0.94);
      transition-duration: 140ms;
    }
    
    .text {
      opacity: 1;
      transform: translate3d(0,0,0);
      transition-duration: 140ms;
    }
    
    .image-wrap {
      transform: scale(1);
      opacity: 1;
      transition-duration: 140ms;
    }
  }
}

.border, .text, .image {
  width: 100%;
  height: 100%;
  position: absolute;
  pointer-events: none;
}

.image-wrap {
  position: absolute;
  width: 130%;
  height: 130%;
  left: -15%;
  top: -15%;
  transform: scale(0.8);
  transition: 280ms ease-out;
  pointer-events: none;
  opacity: 0.74;
}

.border {
  left: -30px;
  top: -30px;
  border: 30px solid #222;
  box-sizing: content-box;
  transition: 360ms ease-in-out;
}

.text {
  display: flex;
  align-items: center;
  justify-content: center;
  opacity: 0;
  transform: translate3d(0, -4%, 0);
  transition: 280ms ease-out;
  text-align: center;
}

.unsplash-info {
  background: #111;
  color: #fff;
  width: 100%;
  position: fixed;
  bottom: 0px;
  font-family: Arial, sans-serif;
  font-size: 14px;
  padding: 2px 8px;
  a {
    text-decoration: none;
    color: #eee;
  }
}

.image {
  background-size: cover;
}

/* box sizing */
.box {
  width: 100%;
  height: 100vw;
  float: left;
}

@media (min-width: 500px) {
  .box {
    width: 50%;
    height: 50vw;
  }
}

@media (min-width: 800px) {
  .box {
    width: 33.333333%;
    height: 33.33333vw;
  }
}

@media (min-width: 1200px) {
  .box {
    width: 25%;
    height: 25vw;
  }
}

/* image backgrounds */
.image-0 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_0.jpg);
}

.image-1 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_1.jpg);
}

.image-2 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_2.jpg);
}

.image-3 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_3.jpg);
}

.image-4 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_4.jpg);
}

.image-5 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_5.jpg);
}

.image-6 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_6.jpg);
}

.image-7 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_7.jpg);
}

.image-8 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_8.jpg);
}

.image-9 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_9.jpg);
}

.image-10 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_10.jpg);
}

.image-11 {
  background: url(https://s3-us-west-2.amazonaws.com/s.cdpn.io/53148/box-image_11.jpg);
}
!

JS 

              
                // for storing mouse x / y position
var mousePos = {
  x: -10,
  y: -10
};

// select the .box DOM elements
var boxElements = document.getElementsByClassName('box');

// create an array of objects to store the box elements and their image
// positions
var boxes = [];
for (var i = 0; i < boxElements.length; i++) {
  boxes.push({
    el: boxElements[i],
    targetX: 0,
    targetY: 0,
    prevX: 0,
    prevY: 0,
    x: 0,
    y: 0,
    left: boxElements[i].offsetLeft,
    top: boxElements[i].offsetTop,
    size: boxElements[i].offsetWidth
  })
}

function mousemove(e) {
  // update mouse position
  mousePos.x = e.pageX;
  mousePos.y = e.pageY;
}

function updateBox(box) {
  // check if mouse is in box area
  if (mousePos.x > box.left && mousePos.x < (box.left+box.size) &&
    mousePos.y > box.top && mousePos.y < (box.top+box.size)) {
    // the mouse is in the space over the box - update the box image target position dependent on how far the mouse position is from the center of the box (box size/2)
    box.targetX = (box.size/2 - (mousePos.x - box.left)) * 0.1;
    box.targetY = (box.size/2 - (mousePos.y - box.top)) * 0.1;
  } else {
    // otherwise the box isn't being hovered, its target is 0
    box.targetX = 0;
    box.targetY = 0;
  }
  
  // update the image element position by lerping position to target
  // https://codepen.io/rachsmith/post/animation-tip-lerp
  box.x += (box.targetX - box.x)*0.2;
  box.y += (box.targetY - box.y)*0.2;
  
  // check that the values aren't really small already, to overcome javascripts poor handling of high precision math
  if(Math.abs(box.x) < .001) box.x = 0;
  if(Math.abs(box.y) < .001) box.y = 0;
  
  // only update CSS if the position has changed since last loop
  if (box.prevX !== box.x && box.prevY !== box.y) {
    // update css of image element
    box.el.children[0].children[0].style.transform = 'translate3d('+box.x+'px, '+box.y+'px, 0)';
  }
  
  // update prev values for next comparison
  box.prevX = box.x;
  box.prevY = box.y;
}

function loop() {
  // in the loop - updated each of the boxes
  for (var i = 0, l = boxes.length; i < l; i++) {
    updateBox(boxes[i]);
  }
  requestAnimationFrame(loop);  
}

function resize() {
  // the box positions/sizes have updated on resize, so they need to be
  // reset
  for (var i = 0; i < boxes.length; i++) {
    boxes[i].left = boxes[i].el.offsetLeft;
    boxes[i].top = boxes[i].el.offsetTop;
    boxes[i].size = boxes[i].el.offsetWidth;
  }
}

// attach the mouse event listener to the document
document.addEventListener('mousemove', mousemove);
// listen for resize event, so box sizes can be updated
window.addEventListener('resize', resize);
// run the animation loop
loop();
!
999px

Console