Interactive Geometric Constraint Systems

TL;DRAbstract

Graphics and modeling systems allow users to place objects or primitives in space and permit the individual editing of these objects. A more powerful paradigm allows relationships expressed by constraints to be established and maintained between pairs of these primitives. For example, two lines might be constrained to be parallel or two points constrained to be coincident. These geometric constraints lead to a "live" model in which design changes to one part of the model may induce changes elsewhere thus permitting the encoding of the designer's intent into the model. <p>Constraints may describe complex non-linear algebraic relationships between the parameters of a model. To provide constraint satisfaction and maintenance in an interactive environment requires extremely fast and general equation solving techniques. We have developed a system called MechEdit for the interactive editing and animation of planar linkages to demonstrate techniques applicable to general geometric const

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