how can i mount my camera to my bicycle to get pictures like this?

You don't have too.

put the tripod in front of the bike, sit on it and take a snap shot,... much like this guy did.

Yes, camera mounts are available but a simple fisheye view and lens blur can produce the same results.
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It looks like a fisheye lens with the camera pointing back up at the rider.

There are any number of camera mounts available. Look for one with a clamp that mounts on whatever part of the bike you want to use. I found some likely ones by doing a search for "camera mounts". Then you just have go get a fisheye lens for the camera, and experiment with the best position for it.
 
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