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Applications of Polynomial Interpolation and Extrapolation

Marija Stanojevic SI 2010/0011. Applications of Polynomial Interpolation and Extrapolation. Application to Mathematics. - Neville's algorithm is used in numerical differentiation - Interpolation is used for evaluation of natural logarithm and trigonometric functions

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Applications of Polynomial Interpolation and Extrapolation

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  1. Marija Stanojevic SI 2010/0011 Applications of Polynomial Interpolation and Extrapolation

  2. Application to Mathematics - Neville's algorithm is used in numerical differentiation - Interpolation is used for evaluation of natural logarithm and trigonometric functions - Polynomial interpolation is essential for quadratic multiplication and squaring such as Karatsuba multiplication and Toom-Cook multiplication

  3. Applications to Typography - Interpolation algorithms are used to determine shapes of letters in typography given a few points

  4. Application to Computer Science - Polynomial interpolation forms bases for algorithms in Secure Multiparty Computation and Secret Sharing schemes - Extrapolation is used for iterative reconstruction in digital imaging, called interior reconstruction - Interpolation is used for optimization of sparse random graphs

  5. Application to Physics - Interpolation is used to prove the existence of so-called free energy thermodynamic limits for several spin glass models - Geophysical data with noise and gaps in coverage is processed using interpolation to reduce noise and improve pictures

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