Three.js website background animation

Create a website interactive background from an existing model (model provided)
- Reference image provided (needs to look the same as the image)
- It has be optimized and fast
- It's not necessary that the background is built based on model (native three.js model is way better solution)
- Must be incredibly lightweight and not cause any lag
- Should move passively and should react to mouse over
- Must look as similar as possible to the original graphic
- Needs to fade to white
- Needs to be integrated with the site currently in development
- Should work on all modern browsers
- All suggestions welcome