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EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
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Concentric and confocal conics relate by linear and perspective maps, respectively. Using this property, we carry over the well-known quadratic Bézier construction of a circular arc to arbitrary conic segments of given centre C or focus F. First, choose arbitrarily the Bézier endpoints and assign them unitary weights. Second, pick the inner Bézier point on a certain line passing through C or F. The distance from C or F to this inner point determines the inner weight.