Mathematical models are utilized to approximate various highly complex engineering, physical, environmental, social, and economic phenomena. Model parameters exerting the most influence on model results are identified through a 'sensitivity analysis'. A comprehensive review is presented of more than a dozen sensitivity analysis methods. This review is intended for those not intimately familiar ...

Using rational motions it is possible to apply many fundamental B{spline techniques to the design of motions. The present paper summarizes the basic theory of rational motions and introduces a linear control structure for piecewise rational motions suitable for geometry processing. Moreover it provides algorithms for the calculation of the surface which is swept out by a moving polyhedron and e...

The Word-RAM is a model of computation that takes into account the capacity of a computer to manipulate a word of w bits with a single instruction. Many modern constraint solvers use a bitset data structure to encode the values contained in the variable domains. Using the algorithmic techniques developed for the Word-RAM, we propose new filtering algorithms that can prune Opwq values from a dom...

Appears in IEEE PAMI 15 (6), June 1993 Visually Controlled Graphics A. Azarbayejani, T. Starner, B. Horowitz, A. Pentland Abstract|This correspondence discusses interactive graphics systems driven by visual input. The paper describes the underlying computer vision techniques and presents a theoretical formulation which addresses issues of accuracy, computational e ciency, and compensation for d...

This paper describes how the concept of imposing geometric constraints by minimizing cost functions may be utilized and extended to accomplish a variety of animated modeling tasks for computer graphics. In this approach a complex 3-D geometric problem is mapped into a scalar minimization formulation. The mapping provides a straightforward method for converting abstract geometric concepts into a...