ABSTRACT
A new approach to modeling is developing, for creating abstractions and mathematical representations of physically realistic and time-dependent objects. In this approach, geometric constraint properties, mechanical properties of objects, the parameters representing an object, and the control of the object are incorporated into a single conceptual framework. Teleological modeling techniques provide an extension of the current notions about how to make mathematical models of objects; the approach utilizes forces, torques, internal stress, energy, and other physically derivable quantities that allow us to simulate many of the fundamental properties of the shapes, combining operations, and constraints that govern the formation and motion of objects. The techniques have the potential to extend the scientific foundation for computer graphics.
