exam2 - CSCE 4813 - Computer Graphics Final Exam - Fall...

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CSCE 4813 - Computer Graphics Final Exam - Fall 2008 Instructions: This is a 70 minute closed book exam. There are 10 questions worth 10 points each, so budget your time accordingly. One 8.5 by 11 page of notes are allowed. Calculators can be used for numerical calculations only. Please raise your hand if you have any questions. Name: ____________________ Geometric Transformations (20 points) For this question, RZ(theta) = rotate about z axis by theta degrees, T(dx,dy,dz) = translate by (dx,dy,dz) units, and S(sx,sy,sz) = scale by (sx,sy,sz) units. What sequence of geometric transformations is necessary to rotate an object by theta degrees about the point (a,b,c)? Will you get the same result if you perform RZ(10) followed by S(3,2,1) as you would if you perform S(3,2,1) followed by RZ(10)? Explain. Viewing Operations (20 points) Consider an ideal pin-hole camera model with the center of projection (focal point) at the origin (0,0,0) and the projection plane at z=d. Draw two side view diagrams that show how the point (x,y,z) is projected onto the point
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exam2 - CSCE 4813 - Computer Graphics Final Exam - Fall...

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