When did computational geometry begin

The discipline was named and largely started in the middle of the 1970s. In its broadest sense, computational geometry is the study of geometrical problems from a computational point of view, including design and analysis of algorithms, data structures, geometric optimization, and analysis of geometric configurations.

Combinatorial computational geometry, also called algorithmic geometry, which deals with geometric objects as discrete entities. A groundlaying book in the subject by Preparata and Shamos dates the first use of the term "computational geometry" in this sense by 1975.

Computational Geometry as a research discipline started in the early 1970's in the math programming, theory/algorithms and CAD communities.