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# komasaru/interpolate_newton.py

Last active Dec 11, 2021
Python script to interpolate with Newton method.
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 #! /usr/local/bin/python3.6 """ Interpolation with Newton method """ import sys import traceback class InterpolateNewton: X = [0.0, 2.0, 3.0, 5.0, 8.0] Y = [0.8, 3.2, 2.8, 4.5, 1.9] def __init__(self): self.n = len(self.X) def compute(self): """ Computation of interpolation with Newton method """ try: print(" x y") for a in range(int(self.X[-1]) * 2 + 1): t = 0.5 * a print("{:7.2f}{:7.2f}".format(t, self.__interpolate(t))) except Exception as e: raise def __interpolate(self, t): """ Interpoalation with Newton method :param float t """ try: c = [0 for _ in range(self.n)] w = [0 for _ in range(self.n)] for i in range(0, self.n): w[i] = self.Y[i] for j in reversed(range(i)): w[j] = (w[j + 1] - w[j]) / (self.X[i] - self.X[j]) c[i] = w s = c[self.n - 1] for i in reversed(range(self.n - 1)): s = s * (t - self.X[i]) + c[i] return s except Exception as e: raise if __name__ == '__main__': try: obj = InterpolateNewton() obj.compute() except Exception as e: traceback.print_exc() sys.exit(1)

### singhsugandha3 commented Dec 10, 2021

how to use this method with any image

### komasaru commented Dec 11, 2021

Newton interpolation is a method of finding an interpolated polynomial that passes through all given pairs of (x, y).
It is not intended to be applied to images.