Question

Given is a rectilinear grid with scalar data values at its vertices as shown in Figure 1. We assume bilinearinterpolation inside the grid cells which gives us the scalar field f(x,y). (a) Compute the following values: ƒ(2, 1.5) • ƒ(2,3) f(5,3) b) Compute the following values: f(1.5, 1.75) • f(3.25, 3.5) f(3.25, 4.25) (c) Compute the following values: f(1, 1) f(4,3) •f(7,5) ) Determine the formula for the gradient of f. (e) Compute the gradient at (2,3).

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