Methods and Apparati for Efficiently Parametrizing, Describing, Generating, Modifying and Manipulating Configurations, Conformations, and Deformations of Systems That Comprise Multiple Physical or Virtual Objects

摘要

Multi-object systems include such concrete, practical objects as robot hands, arms, and platforms; protein, polymer, and other complex molecules; and complex graphic displays. Multi-point systems are idealized mathematical constructs that model multi-object systems. Many natural, practical, and important problems involving such models have proven to be computationally expensive or intractible with the prior art. This invention provides new and highly efficient methods and apparati for generating, modifying, manipulating, and otherwise working with multi-point systems, including new parameters to describe configurations, conformations, and deformations of such systems.