JSFiddle - React, Tailwind, and code Playground

HTML

<div class="blur pic"><img src="http://i.imgur.com/IGKVr8r.png" alt="plane" /></div>
<div id="blurr"></div>

CSS

.pic{
    display:inline-block;
}
/*below CSS for the blurring div*/
#blurr{
    position:absolute;
    display:none;
    width:30px;
    height:30px;
    background-color:rgb(240,240,240);
    border-radius:50%;
    -moz-border-radius:50%;
    -webkit-border-radius:50%;
    box-shadow:0px 0px 10px 10px white;
    -moz-box-shadow:0px 0px 10px 10px white;
    -webkit-box-shadow:0px 0px 10px 10px white;
    opacity:0.8;
    filter:alpha(opacity=80); /* For IE8 and earlier */
}

JavaScript

$('.pic').mousemove(function(event){
    event.preventDefault();
    var upX=event.clientX;
    var upY=event.clientY;
    $('#blurr').css({'display':'block','top':''+(upY-15)+'px','left':''+(upX-15)+'px'});
});