In a recent textbook ( Computational geometry : curve and surface modeling by Su

Question

In a recent textbook ( Computational geometry : curve and surface modeling by Su and Liu), finds the following on p. 2:

The objects studied in computational geometry are curves and surfaces. In geometric design, surfaces is generally divided into several patches such that each boundary shared by two adjacent patches is a plane curve and such that the projection of four boundaries of each patch into the plane form a rectangle.

Discuss substantially how this is different from the use of term “Computational geometry” (and in O’Rourke’s textbook). Also, comment on whether there might be common ground in the two definitions.

Explanation / Answer

As per Su and Liu's book the Computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science.

and as defined by O'Rourke the Computational Geometry is a flowering discipline formulated from approximation theory of functions, differential geometry, algebraic geomery, computational mathematics and espicially numerical control

So, finally my conclusion is Su and Liu has given knowledge on computational mathematics but  O'Rourke has given purely on mathematical area

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