Then circle all vertices both original and the new

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Unformatted text preview: and the new ones you added) that are extraordinary. Note: I am only interested in the topology of your answer. 7 points 6. Name a phenomenon that can be modeled easily using photon-mapping but that cannot be modeled with a basic ray-tracing algorithm. Give an example. 3 points 7. Briefly state why interpolating transformation matrices by linearly interpolating the matrix components is a bad idea. 4 points Final Exam CS 184: Foundations of Computer Graphics Fall 2008 Prof. James O’Brien page 7 of 15 8. When animating fluids such as water or air using a simulation method such as the “stable fluids” method discussed in class, why is it seldom necessary to an an explicit viscosity term? 5 points 9. Below are two 4x4 homogenized transformation matrices. What does the first one do? How does the effect produced by the second one differ from that produced by the first? 4 points 4 0 0 0 0 4 0 0 0 0 4 0 4 0 0 4 −4 0 0 0 0 −4 0 0 0 0 −4 0 4 0 0 −4 The first one will: The second one will: 10. Draw the convex hull of the shape shown below. 2 points Final Exam CS 184: Foundations of Computer Graphics Fall 2008 Prof. James O’Brien page 8 of 15 11. The diagram below is the control polygon for a Bezier curve segment. Draw the curve and show how de Casteljau’s algorithm can be used to subdivide the curve into two halves. Make sure your drawing is geometrically reasonable and shows correct curve tangents for the the beginning, middle, and end of each segment. 5 points 12. Given a rotation matrix, how would you...
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This note was uploaded on 01/24/2014 for the course CS 184 taught by Professor Staff during the Fall '08 term at University of California, Berkeley.

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