I have a GoPro Fusion 360 camera. It records location and direction and accelerometer readings for every frame. From that it does the stabilisation in software in the ipad or desktop app. Depending on the platform you can stabilise on a subject, a point of view, or anything else you want.
I really like the different perspective caused by the tumbling paraglider looming into the image, and the looping kiteboarder spiralling away from the camera.
This is a video of me with the image stabilised in a specific direction.
You go straight or you steer by weight shift. It's a very stable glider. It flies just fine by itself.
The technique to recover most mishaps is to "put the brakes up," the same applies to kites but most people don't do it. :-(
The action in the paragliding video starts at the 2 minute mark.
Here's a summary: