The Daystrom Institute, also known as the Daystrom Research Institute, was a 24th Century organization that contributes to the United Federation of Planets. It is named after Doctor Richard Daystrom.
In 2364, the institute was developing a Tomographic imaging scanner, capable of multiphasic resolution. By 2370, this device was standard equipment aboard the USS Enterprise (NCC-1701-D). (TNG: All Good Things...)
Commander Bruce Maddox held the Associate Chair of Robotics at the Daystrom Technological Institute. (TNG: "The Measure of a Man")
There is an Daystrom Annex on Galor IV. In 2366, Vice Admiral Anthony Haftel was assigned here. (TNG: The Offspring)
The institute has several colleges that include the Daystrom Institute of Technology where Dr. Leah Brahms was a graduate. She eventually worked on the USS Enterprise-D's warp engines as a member of the Theoretical Propulsion Group. (TNG: Booby Trap)
The institute also is home to genetically enhanced individuals who cannot be introduced into the Federation population. (DS9: Statistical Probabilities)