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Interpolation
High School
Definition
Interpolation estimates values between given data points. Methods include polynomial interpolation and spline interpolation.
Formulas
L(x) = ∑_i=0ⁿ yᵢ ∏_j ≠ i (x - xⱼ)/(xᵢ - xⱼ)
Lagrange interpolation polynomial
Examples
Example 1
Find the Lagrange polynomial through (0,1), (1,3), (2,7).
Applications
Computer Graphics
Curve/surface generation
Signal Processing
Resampling
Data Analysis
Missing value estimation
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