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Show 135 defining the quantities Then we express can is, some are added to net normal That Q = (Fv(Pu.Pv)-Fu(Pv.Pv))/N R = (Fu(Pu.Pv)-Fv(Pu.Pu))/N the perturbed small the = Xn + Q Xu + R Xv Yn' = Yn + Q Yu + R Yv Zn' = Zn + Q Zu + R Zv in it initial normal vector as in the 64x64 smooth each of Then the these bilinear and as of a v vectors the scaled Pu normal to calculation, is and the Pv The vector. length a perturbed functions can be the functional this thesis it of one but the unscaled have between desirable. differences separate of texture interpolation is The F array performed form used function of on a 64x64 the a of For samples. perturbation the get form some the to is interpolation bilinear vector order In any specified been all in functions The form. evaluated, performed is specified samples. is normal the function u is patterns For two as Pv. be texture be function when must interpolation take in of function performed. to to pictures interpolation the intensity which definition arrays simpler the and Pu convenient manner used of still must using Texture of portions regular position vector product vector Xn' before cross normal smoother here and is store elements. samples of |