The Daystrom Institute, also known as the Daystrom Research Institute, was a 24th century organization that contributed to the United Federation of Planets. It was named after Doctor Richard Daystrom, inventor of the duotronic computer.
The Institute had its own Archaeological Council. (DS9: "Q-Less")
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-D. (TNG: "All Good Things...")
Commander Bruce Maddox held the Associate Chair of Robotics at the Daystrom Technological Institute in the mid 24th century. (TNG: "The Measure Of A Man")
There is a Daystrom Annex on Galor IV. In 2366, Vice Admiral Anthony Haftel was assigned there. (TNG: "The Offspring")
The Institute had several colleges that included the Daystrom Institute of Technology, where Dr. Leah Brahms was a graduate. She eventually worked on the Enterprise's warp engines as a member of the Theoretical Propulsion Group. (TNG: "Booby Trap")
In an unknown, alternate future timeframe, Brahms became director of the Institute. (TNG: "All Good Things...")
Vash was offered a post at the Institute after she returned from her journeys with Q in 2369. (DS9: "Q-Less")
Seconds before he killed himself by piloting his shuttlecraft into Epsilon 119, Gideon Seyetik asked Benjamin Sisko to send his obituary to the Daystrom Institute for publication. (DS9: "Second Sight")
In 2378, when The Doctor's holomatrix was in danger of decompiling, he requested that Captain Janeway donate his mobile emitter to the institute for study. (VOY: "Renaissance Man")