Читать книгу Computer Aided Design and Manufacturing - Zhuming Bi - Страница 69

Two basic elements of a solid model are (i) elemental geometric solids T_i (i = 1, 2, 3, …, N), where N is the number of available solid primitives of the object, and (ii) the set of composition operations ⊗ for a Boolean operation (‘∪’, ‘∩’, or ‘\’) of geometric solids.

A series of composition operations can be expressed as

(2.19)

where T_C stands for the assembled object, T_i (i = 1, 2, 3, …, N) are the primitives in the object, and ⊗ is one of the Boolean operations (‘∪’, ‘∩’, and ‘\’).