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[PENDING] Estimating Differential Quantities using Polynomial fitting of Osculating Jets

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Figure 1: A curve and (a) an osculating ellipse, (b) its osculating circle (special case of osculating conic), (c) its principal degenerate conic, (d) an degenerate osculating conic: a parabola.
Figure 12: Polynomial model: Convergence of normal and curvature estimates wrt the degree of the interpola-tion fitting
Figure 13: Polynomial model: Convergence of normal and curvature estimates wrt the degree of the approxi-mation fitting
Figure 11: Exponential model: Convergence of the k max
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