Given a set of points, it is easy to compute a polynomial that passes through the points. The Lagrange polynomial (LP) of Section 10.2 is an example of such a polynomial. However, as the discussion in Section 8.8 (especially Exercise 8.16) illustrates, a curve based on a high-degree polynomial may wiggle wildly and its shape may be far from what the user has in mind.
KeywordsInterior Point Tangent Vector Spline Interpolation Curve Segment Straight Segment
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