Computational geometry is the study of efficient algorithms to solve geometric problems. The methodologies of computational geometry allow one to design and analyze algorithms for the efficient solution of numerous geometric problems that arise in application areas such as manufacturing, computer-aided design, robotics, computer vision, graphics, and cartography.
We also have a very strong group of our faculty colleagues at Stony Brook doing research in closely allied application areas of computational geometry, including computer graphics, visualization, volume rendering, modeling, and computer vision, including:
Current projects include basic and applied research funded by NSF, Sandia, and ONR. Also, industrial applications projects are under way with Boeing (virtual environments), Hughes Aircraft (GIS, weighted region shortest paths, military mission planning, simulation), Bridgeport Machines (tool path generation and verification), Seagull Technologies, Inc., Sun Microsystems (triangulation algorithms), and Syngen Corp. (OCR, automated text processing). A sample of some projects (this list under construction!):
The series of fall workshops in computational geometry
were started at Stony Brook in 1991 and have become an established venue
for the field of computational geometry.
The workshops were originally funded by the Mathematical Sciences Institute (MSI),
through the Army Center for the Mathematics of Nonlinear Systems at
Stony Brook. (MSI is funded by the U.S. Army Research Office.) The
Fifth MSI-Stony Brook Workshop on Computational Geometry took
place on October 20--21, 1995.
Sixth annual Fall Workshop on Computational Geometry, was held on October 11-12, 1996,
hosted by the Center for Geometric Computing, Johns Hopkins University.
Seventh annual Fall Workshop
took place October 18-19, 1997,
Center for Geometric Computing, Duke University (P. Agarwal, organizer).
Eighth annual Fall Workshop
took place October 11-12, 1998,
Center for Geometric Computing, Brown University.
Ninth annual Fall Workshop,
took place October 15-16, 1999,
Center for Geometric Computing, Johns Hopkins University.
In its tenth year the workshop is coming back to Stony Brook.
Tenth annual Fall Workshop,
took place October 27-28, 2000,
Math Tower, SUNY at Stony Brook, Stony Brook, NY.
11th Annual Fall Workshop on Computational Geometry
took place November 2-3, 2001,
Polytechnic University, Brooklyn, NY.
twelfth workshop was part of the
Special Focus on Computational Geometry and
Applications at DIMACS in the fall of 2002.
The thirteenth workshop was
Workshop on the Mathematical Foundation of Geometric Algorithms,
as part of the special semester on computational geometry at
Mathematical Sciences Research Institute, Berkeley,
October 13-17, 2003.
14th Annual Fall Workshop in Computational Geometry was
at MIT in Cambridge, MA, November 19-20, 2004.
The 15th Annual Fall Workshop in Computational Geometry was at the
University of Pennsylvania on Friday and Saturday, November 18 and 19, 2005, hosted by
16th Fall Workshop on Computational Geometry, Nov 10-11, was at Smith College,
hosted by Ileana Streinu and Joe O'Rourke.
The 17th Fall Workshop on Computational Geometry,
fall 2007 (Nov 9-10, tentative),
at IBM, hosted by Jon Lenchner.
For Spring 2003, an undergraduate course was offered for the fourth time: See AMS 345/ CSE 355: Computational Geometry (Spring 2003)
The course Computational Geometry (AMS 545/CSE 555) is offered each year (usually in the fall) by Joe Mitchell. It is intended as an introductory graduate course.
There is an operations research seminar series at Stony Brook, which often includes talks in the field of computational geometry and related disciplines (graph algorithms, optimization, etc). The seminar is generally on Wednesdays, 12:00-1:00, in Harriman 104.
Joe Mitchell --
Applied Math & Statistics --
Computer Science --
SUNY Stony Brook