A cell complex chain model of data for CAE databases. A base for unification of geometric models.
Tamio AIZAWA · Journal of the Japan Society for Precision Engineering · 1989
A new mathematical model, called the cell complex chain, is proposed as a base for unification of different geometric models. The starting point for defining this model is represented by a pair of a subset of a cell complex and a cell sub-complex generated from the subset of a cell complex in homology theory. The data of so-called boundary representations of solid shapes and their manipulations for the shape transformation can be reasonably described semantically and formally in the restricted cell complex chains, called the boundary cell complex chains, and the figure transformation. A formal data model, called abstract cell complex chain, for CAE databases is introduced to make the data of boundary representations correspond to the geometric cell complex chains.