Tosiyasu L. Kunii, “Valid Computational Shape Modeling: Design and Implementation”, International Journal of Shape Modeling, pp. 123-133, World Scientific, December 1999; revised on June 21, 2008.

Abstract

Current shape models are targeted at visual presentations for display and design. They lack the validity in their shape properties such as topological-, geometrical- and visual- equivalence, and even continuity. Cellular modeling is a new computational modeling that provides a computationally valid shape model. It also provides a foundation to share shapes among varied applications for extensive reuse. The implementation of cellular modeling via cell attachment tables complies with the standard relational data model. Examples are shown to demonstrate the value of cellular modeling in comparison with the existing typical shape models such as wire frame models, boundary models and solid models. Design and implementation of the cellular modeling examples using cell attachment instance tables are presented.

Paper