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Compact and efficient implicit representations

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Academic year: 2021

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Figure

Figure 1.1: Parametric representation versus implicit representation
Figure 1.2: Two curves: a complete intersection of degree 4 (left ) and the twisted cubic which is not a complete intersection (right).
Figure 1.3: Problems with global representations: trimming a Bézier curve to its control polygon may keep unwanted parts of the global curve (left), trimming on the parametric space cannot be carried to a global representation, unless an inverse map from t
Figure 1.4: Different representations of varieties
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