Crowd-sourced project is very important in 3D modeling for cultural heritage. Micropast and ProjectMosul are two example.
But there are many issues regarding the acquisition and the process of those data.
Here is a PhD project in UCL (London) funded by EPSRC:
Of course it's not about 3D but about sourcing. However as I said in my short introduction, many people here should be interested in such concern.
You will need a great motivation for cultural heritage but also strong skill in data processing.
Have a good day!