Virtually anything will grow well in a raised bed, and certainly tomatoes. You're probably going to want to put up trellis around the raised bed so the vines can stay above ground level. Make sure you use a fairly rich soil with high nitrogen (or native soil with amendments if native soil is poor). Tomatoes need moderate drainage, but not excess drainage, their roots are much more prone to drying out than other plants. Assuming you have decent soil I'd recommend a 50/40/10 ratio (native soil, potting soil, perlite), or alternatively if your native soil is poor 40/50/10. You can always just toss the plants in the soil and see how they do in pure native soil, but if you're not in a place with soil that comes out damn near pitch black you'll probably have much better results with some amendments.
Also be aware that a raised bed is going to require a tinsy bit more watering-- being elevated it doesn't receive all of the insulation that being in the ground provides, thus it will be warmer and water will evaporate slightly quicker in the bed. I didn't see a link to what you reffered to, but as long as the bed is stable you won't have problems. My favorite plan uses pallets you can get for free at most box stores-- almost all of them have "bad" pallets they want done away with. I like it because it's recycling in a productive manner, although if you're looking for something "sharp and snazzy" the pallet bed is not what you're looking for, lol.