I want to enlarge an image to a bigger size. This will cause pixelation. So I want to apply some treatment to it in Photoshop that will suppress some of this pixelation. Of course I cannot generate new pixel information, only smoothen it etc. so that the pixelation is not so much apparent in full views and prints. Example, one effect popular with photographers is to copy the image into a second layer, set its blending mode to overlay or soft light etc., then apply a blur to it. This somewhat smoothens the image. But it also changes its appearance into a glowy kind of look (which is the aim, usually). I want a treatment that will fake the appearance of a higher-res smooth image without too many side-effects.
Any tricks of this kind that anyone knows of?