Rosebush began working in computer animation in 1970, founding the company Digital Effects Inc. in New York in 1978. As the first 3D digital computer animation company in New York, Digital Effects had to pioneer its own software. In 1986, two years after Digital Effects ceased operations, Rosebush founded the Judson Rosebush Company. Located in Carnegie Hall, the company produces consumer CD-ROMs, business-to-business CD-ROMs and websites.

Rosebush's television credits include directing over 1000 commercials and logos for advertising agencies and networks worldwide; feature film credits include Walt Disney's Tron.

In the early 1990s, Rosebush co-authored and directed television programs on Volume Visualization and HDTV and the Quest for Virtual Reality. He participated on FCC working groups on HDTV. In the late 1990s he was drafted to collect and write histories about computer graphics, including the feature movie, The Story of Computer Graphics.

Rosebush is a consultant for media technology companies in America, Europe, and Brazil. He assisted Hammond Map in designing their digital mapping system, worked with Oxberry Corporation to install the first digital motion picture scanners in New York and Beijing, and has performed expert witness work in Federal Court. He has also taught courses in computer graphics at Syracuse University, the School of Visual Arts, New York; Pratt Institute, Brooklyn; and Mercy College, White Plains, New York.

Rosebush has exhibited computer-generated drawings and films in numerous museum shows, and the drawings have been reproduced in hundreds of magazines and books.

His most cited writings include "The Proceduralist Manifesto," a statement on computer art published in Leonardo; he is also known for his writings on computer graphics and new media. More popular credits include articles in The Village Voice and Rolling Stone Magazine.