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Show 48 (Xr /Yr) where Xr, Xn, Yr, and Yn are (Xn/Yn) = respectively (4.7) the components of Rp and Np in x and y directions. From hypotheses (1) and (2), Zn where 0<= i <= 90 Zr= + <= we cos( 2*i ) Yri2 From (4.7) and . where 0<= Zn cos(i) = system one on By = (4.10), we the axis between axes following expressions: 2*[ cos(i) ]i2 = [ sin( 2*i ) ]i2 = 1 "7 - 1 2*Zni2 :::; 2*i [ cos{ 1 (4.9) ) ]i2 (4.10) ,.. obtain: 1. are then known in the light source coordinate simple transformation which rotates the light source coordinate into the eye coordinate of an a is: (4.8) obtain the The three components of Rp system. Np degrees. By simple trigonometry, Xri2 the component Zn of of the parallel new light system will coordinate to the line of the reflected hence the system, sight and the projection of be known. the vector The of sight. be used in the simulation of the specular reflection of onto component of Rp is the value of the cosine of line Rp the angle The value of this cosine will light. |