A cellular design system for soft and varied sized objects

Abstract

After we sketch the design of a product on the Web, we can obtain each part of the product applying a cell decomposition to the sketched design based on the cellular model operations and then applying the homotopy theory to it. When we perform cell decomposition, we can specify the manufacturing procedures of a product as homotopy invariants based on the homotopy theory. Using the parts and the manufacturing procedures of a product, and cell attaching functions accumulated in the cellular design database while these procedures are applied. We show first that we can perform the real design of soft objects, the shapes of which are constantly changing. We then show that the cellular model also can uniformly specify varied sizes. Thus, the cellular model is far more powerful than existing geometric models. The design of bags is taken as an example of soft object and varied sized object design.