I will be on a trip to Europe shortly (Austria/Germany). Originally, my plan was to bring my Canon 5DM3 and EOS M (for giving to others to take a photo of me, I don't hand anyone my 5D) as my cameras, while my Lumia 1020 would be there obviously for GPS/Internet/text, etc. But, I've since reconsidered and will be using the Lumia as my backup camera, and the camera I give to other tourists to take a photo of me.
For a simple comparison with the EOS M, the image quality of the EOS M is still noticeably better, and you can do more with the RAW image, but the Lumia is more than adequate. And with the Lumia, you can edit your photos onscene with numerous photo apps, geotag it, and upload it for all your friends to see instantly. If the photos are just going on Facebook/Twitter/Instagram, you'll be more than happy with the Lumia.
I recently did a photoshoot (cowgirl theme), and attempted to use the Lumia to compare it with the quality/versatility of my 5DM3 with a 70-200. The 5DM3 won hands down for that type of purpose.
Oh, I've also done 5 shot HDRs with the Lumia on a tabletop tripod and merged with Photomatix. Didn't come out too shabby.
OP, I have both a Nokia Lumia 1020 (I am a Windows Phone fan), a Canon 5D Mark 3, and a Canon Rebel t2i. No doubt, the Lumia 1020 takes the best photos available in any smartphone, but it does not beat a DSLR. You're comparing the electronics and technology crammed into a tiny smartphone, versus all the versatility a DSLR offers.
The image quality of the Lumia is nice, so are the non-amateur abilities to set things like ISO, shutter speed, white balance, etc. It is also very portable, so if carrying a DSLR is too inconvient, too heavy, or not allowed (like at sports venues), then the Lumia is a capable alternative.
Thank You, Sir., Dear Mr. replay0
Yes " so if carrying a DSLR is too inconvient, too heavy, or not allowed (like at sports venues), then the Lumia is a capable alternative."-------That are the great Comments------To have some thing is Better than Nothing, When we need to Record the Photos.