How can I restore all all of a specific file type?

I have two months worth of backups in Time Machine. I would like to find all the .MOV files from all my backup dates in time machine regardless of what directory. Is there any easy way? I am missing some files that I honestly cant remember where I saved them off to but I know are gone now. Is there any way to just fine all the .MOV files across all backup dates and restore them?