The objective of the society is to foster international collaboration and stimulate scientific research and teaching methodology in the fields of geometry and computer graphics.
The society is a non-profit international organization with its registered administrative office where the President resides.
Former ISGG president in years 2006 - 2008 was prof. Emiko Tsutsumi from the Otsuma Women´s University in Tokyo, Japan.

From the year 2009 the president of ISGG is prof. Ted Branoff, North Carolina State University, USA.