Along with self-financing, or financing through your home country/institute, you can ask your academic advisor in Dresden if there is an existing exchange program that can help you to fund your project.
In addtition, there are various German sponsors and foundations that offer grants to graduates, doctoral candidates, and professors that allow them to stay for an extended period of studying and/or research. A list of current funding possibilities is provided here: Funding 
On the web site of The Researcher's Mobility Portal Germany, you can also search for foundations and sponsors that offer grants: Funding Database Incoming 

In most programms it is common that researchers are seeking for their academic host or supervisor themselves, because they know best which other researcher is working in the same field. It is also common to contact researchers you don't know personaly via mail or e-mail to ask if there is the possibility of a cooperation. Look up the different fields of research in the research information system.

Furthermore you can find the job opportunities at the TU Dresden here: Vacancy advertisements of TU Dresden