System for encoding and manipulating models of objects

Details System for encoding and manipulating models of objects System for encoding and manipulating models of objects

2005-02-08

2005-02-08

Broda, Esq., Samuel (Department: 2123)

Data processing: structural design, modeling, simulation, and em

Modeling by mathematical expression

C703S001000, C703S022000, C700S245000

Reexamination Certificate

active

06853964

ABSTRACT:
A method models an object composed of one or more components. Data are input to a memory of a computer system for each component of the object. The data include Cartesian coordinates expressed in Euclidean space of a plurality of points x of each component. Each component point x is encoded as a vector x in a general homogeneous space by x=(x+½x2e+e*)E=xE−½x2e+e*, where e and e*are basis null vectors of a Minkowski space E. General homogeneous operators are associated with each data point to generate a model of the object. The general homogeneous operators are applied to each encoded point of the associated component for each component to manipulate the model of the object.

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