When I studied web design (it was 10 years ago, hehe. And I've never taken up that stuff seriously since) Corel went the first, Photoshop - the second. But right now when chatting with a web designer colleague I often learn that those pro-designers disregard Corel for some strange reason, and praise Photoshop. Dunno.
[Removed by J. H. Rasmussen - v7n only allow links to English languaged websites]