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The gradient of an image is a vector of its partials: [2]: 165 = [] = [], where: is the derivative with respect to x (gradient in the x direction) is the derivative with respect to y (gradient in the y direction).
SO has a MATLAB example that demonstrates the algorithm and recreates the first image in this article; Lagrange Method of Interpolation — Notes, PPT, Mathcad, Mathematica, MATLAB, Maple; Lagrange interpolation polynomial on www.math-linux.com; Weisstein, Eric W. "Lagrange Interpolating Polynomial". MathWorld.
MATLAB (an abbreviation of "MATrix LABoratory" [22]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.