This chapter deals with how surfaces may be interrogated by the subdivision paradigm, in which anything too complicated to deal with simply is divided into sub-problems, and the same approach applied to the subproblems.
Interrogation is the process of determining from a surface various properties which are required for analysis of various aspects of the product which the surface helps to describe, and for creating data to assist in the manufacturing process. The survey paper  covers a range of computational approaches.
Display is the first example which comes to mind, being useful both for aesthetic analysis and for marketing. Simple ...