I would think 2D filtering will be successful. 

Hello, I think 2D filtering is suitable  in this kind of applications. In 2D filtering you will use less memory space and the algorithm will run faster than 3D filtering.

Thank you for your reply.

Do you think oriented diffusion is good for FVC2002? I want it for minutia extraction and as you know, this is hard for this database.

yeah. I Know about FVC2004. I just wanted to know if it works for accurate minutia detection or not. 

now, DO you think these two methods are better than using log gabor?

Thank you very much

try to use non-linear methods which can provide acceptable results.