Continuous collision detection between two 2D curved-edge polygons under rational motions
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
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The question of what is the "best" form of geometry for use in CAD systems and for data exchange between systems has often been argued with much intuition but few facts. I will present here some numerical stability results for several formulations of conic curves with the conclusion that the point/vector/scalar representation performs best. This also leads to a form of referential geometry that has significant advantages for use in geometric modeling systems.