The following are my answers to some commonly asked questions.
Admission is decided by our graduate admissions committee (whose members differ each year). Therefore, I will not be able to definitively predict the outcome of your application.
I seek students with strong background in mathematics (e.g., multivariate calculus and differential equations), statistics, and programming (in, for example, C++, Python, and CUDA). Additionally, 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, the ability to digest and reproduce recent graphics/vision research is highly recommended.
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.
(Some answers are courtesy to Wojciech Jarosz.)