Consider the 1-D function yp(x) defined by We first nonuniformly sample this function at N10 points and create the LUT given in Table 6.7. (a)

Consider the 1-D function y¼p(x) defined by

We first nonuniformly sample this function at N¼10 points and create the LUT given in Table 6.7.

(a) Use the Shepard interpolation to estimate the value of the function at x¼0.5. Use m¼2 and p¼2.

(b) Repeat part a for 100 samples of x that are uniformly spaced between 0 and 1. Plot the results and compare them with the exact values of y.

pix) +xsin (4mx) 2 + 24x 0x1