Cell Complex Chain Models of Data for CAE Databases. Formularization of Models having Inner Cells.

Abstract

In this paper, we theoretically define extended cell complex chains (data models) having inner cells to efficiently describe so-called nonmanifold representation models and their operation processes. An extended model, a 4-tuple of partial chain, base subchain, boundary cycle subchain and newly introduced inner cell set subchain on a base chain, is transformed to a subset of a Euclidean space (shape model) through an extended cell complex. The difference between these extended models and so-called Euler models based on the Euler-Poincare formula is discussed.