The website I'm creating (test6.lazyfoxdesign.co.uk) is responsive and makes heavy use of images for the background. I use high resolution images and scale them down using CSS for smaller resolutions. In all web browsers, except desktop Safari images are nice and sharp.
I attached screenshot of the issue. Google Chrome on left and Safari on right.

Source: https://i.sstatic.net/CKhFd.jpg
(Enlarge the imgur image to see difference.)
In the screenshot below (actual size) Chrome is top, Safari is bottom:
