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ME325_HW3

ME325_HW3 - etc The positive normal for the surface is...

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ME325, Homework 3 Read Chapters 3, Lee. 1. A tetrahedron originally has coordinates given in the table below. The tetrahedron is to be rotated 45 deg. about the vector [1,1,1] (positive rotation) such that point 4 remains in its original location after the rotation. Compute the combined transformation matrix that performs this operation. Compute the new coordinates of points 1-4 Point x y z 1 1.5 .20 1.5 2 2.0 0 0 3 1.0 0 0 4 1.6 2.5 .80 2. Starting with the original coordinates (from the table of Problem 1), transform the tetrahedron using the standard isometric transformation discussed in class (will look similar to picture after completion). For each surface of the tetrahedron compute whether that surface is visible or not. There are 4 surfaces (Surface 124, Surface 234,
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Unformatted text preview: etc.). The positive normal for the surface is pointing away from the center of the tetrahedron. The veiwer is locate in world coordinates at (x,y,z)=(10,10,10) and the viewing direction is (-1,-1,-1). 3. For each visible surface determined in Problem 2, compute the intensity of the diffuse reflection R d using the Phong model. Assume E p =100, K s =.50, D =0 and n=1. The light is assumed to be located in world coordinates at (x,y,z)=(10,20,10) and the viewer is located in world coordinates at (x,y,z)=(10,10,10) and the viewing direction is (-1,-1,-1). 4 2 1 3 x y z...
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