Unlikely---unless I have already been collaborating with you or your advisor. I will occasionally host visiting scholars/students, but these arise due to an established research relationship/project need. The best way to establish a collaboration is to approach me about research project ideas (via emails or at conferences). If this leads to an exciting discussion with a concrete research direction, then it becomes much more interesting to host a visit.
I might make an exception for truly exceptional students who are (i) already doing interesting work or (ii) supervised by researchers who I am interested in collaborating with.
I am open to accepting strong, self-motivated students with a passion for research in physics-based graphics/vision. However, admission is decided not by me but the graduate admissions committee (whose members differ each year). Thus, instead of contacting me directly, you should visit this webpage and submit an application. You could mention my name in your application and email me once you have applied. On the other hand, emails simply asking “can I be your Ph.D. student?” may be deleted without reply.
Convince me that you have the passion, knowledge, and skills to immediately start working on interesting research problems. I expect my students---even those who plan to work mainly on vision-oriented topics---to have sufficient background in computer graphics and/or rendering. Further, strong background in mathematics(e.g., multivariate calculus and differential equations), statistics, and programming (in, for example, C++ and CUDA) is highly recommended.
Demonstrating (through class or open-source projects) that you can digest and reproduce recent research (including my own) will get you noticed. Lastly, recommendations from senior researchers whom I know and trust will be very helpful.
(This page is still under development. Some answers are courtesy to Wojciech Jarosz.)