I have both and I concur with Jack, except that I think the Video section of DVE is easier to use than AVIA. That's because on AVIA, they go through the explanation of how to make the adjustment and then it puts up the test pattern. You only have a minute or two to do it and then it automatically goes on to the next setting. If you aren't done, you have to hit previous track and listen to the whole explanation again. DVE gives the instructions and then pauses. You have as much time as you want because it will not move to the next setting until you hit play again. DVE does far more test patterns but no information on how to use them and getting to the advanced patterns requires you to look up the title and chapter and enter that directly - there is no menu access to them.
The Audio tests are similar between the two but differ slightly in how the tones for the sub are implemented. In AVIA, when the tone is for setting the sub level, it also plays in the front left and right speakers. Presumably that choice was made because it would be make it easier to hear the blend between the subs and the mains. They explain the reasoning behind that approach on their website. DVE plays the sub test tone only in the subwoofer, but I had read that the level of the tone is too high.
DVE is half the cost of AVIA, but if I were to do it over and could only buy one, it would be AVIA - easier to navigate, good explanations of what to do, and all the tests most people would need.