Why not ask ITV when they release a player for your Samsung?
http://forums.itv.com/thread/999974.aspx says they use Microsoft Silverlight. Silverlight is only available for Windows. And your TV doesn't run Windows, alas (in fact, no TV's do).
http://www.itv.com/itvplayer/android/ says they also have it for Android (that's what your netbook runs, probably) and iOS (that's iPad and iPhone). But apparently not yet for Samsung TV's. It says "Please refer to our FAQs for more information or contact us at: email@example.com". So that's the place to ask. Can you tell us what they answer?
However, if your PC or laptop has HDMI out, you can easily connect it to the HDMI of your PC and view ITV Player that way on the TV.
Having purchased a Samsung D7000 Smart TV and being able to view BBC iplayer I was disappointed that I cannot view the ITV Player. I'm told it is something to do with Apps authority. Why can I view it on a small Acer Tablet but not this so called super smart TV? It shouldn't be called smart because it isn't. Samsung support can give no indication of when and if this might be resolved.