Student Name: Student ID:Instructions: Read them carefully!The exam begins at 5:10pm and ends at 8:00pm. You must turn your exam in when time is announced or risk not having it accepted.Make sure you fill in your name and the above information, and that you sign below. Anonymous tests will not be graded.Write legibly. If the person grading the test cannot read something, he/she will simply assume that you meant the illegible portion as a note to yourself and they will ignore it. If you lose points because part of your answer could not be read, you will not be given the opportunity to explain what it says.You may use two pages of notes while taking the exam. You may not ask questions of other students, look at another student’s exam, use a textbook, use a phone or calculator, or seek any other form of assistance. In summary: do not cheat. Persons caught cheating will be subject to disciplinary action.Do not ask questions during the exam. Most questions are unnecessary and they disturb other stu-dents. Figuring out what the exam question is asking is part of the test. If you think you have to make some unusual assumption to answer a problem, note what that assumption is on the test.The answers to most questions should be short. If you find yourself writing an excessively long re-sponse, you may want to think more carefully about the question.I have read these instructions, I understand them, and I will follow them.Your Signature: ____________________________________Total Points: ________ You Scored: ________ CS 184: Foundations of Computer Graphics page 1 of 11Fall 2006Prof. James O’BrienFinal Exam1. Answer the following questions with True (T) or False (F) 1 point each______ Progressive radiosity was developed at UC Berkeley and the name is a joke referring to local politics. ______ The photon-mapping method cannot produce images with caustic reflections.______ Solid angle is the ratio of area to area of the unit sphere and it is measured in radians-squared.______ Light fields are large arrays of lights used with optical motion capture.______ In the absence of external effects, the angular velocity of a rotating sphere is preserved.______ Although they are interesting, particles systems have few practical uses.______ Euler integration is only stable for time steps of 0.01 seconds or less.______ It is not possible to reuse or combine recorded motion capture data.______ Feet sliding on the ground is a common problem for motion capture data, but it is very hard to notice so in practice people ignore the problem.______ In a kinematic skeleton, every body must have exactly one inboard and outboard joint.______ Given a kinematic skeleton, there will always be some finite number of solutions for a given IK problem.______ Moving least squares uses swept cubes, not squares, to define complex shapes.______ Using implicit functions for “morphing” shapes is convenient because it becomes easy to handle topological changes.______ Splines are modeled on thin strips of wood, metal, or plastic that were once commonly used by draftsmen.______If a curve is € G1 continuous then it’s parameterization must be € C1.______ Modern LCD displays have a dynamic range approximately equal that of the human eye.CS 184: Foundations of Computer Graphics page 2 of 11Fall 2006Prof. James O’BrienFinal Exam______ All linear transformations can be decomposed into a serie of “primitive” transformations.______ The axis-angle representation of rotations, also called exponential maps, encode rotations as points inside a ball of 4π radius.______ A rotation matrix always has determinant of +2.______ The near and far clipping planes serve no use other than a slight speed up from not draw-ing some objects.______ The sky is blue because water vapor scatters blue light.______ Any set of non-intersecting polygons can be sorted in front-to-back order. ______ The cones in the human eye are each sensitive to a part of the visual spectrum that does not overlap with the region that the rods are sensitive too.______ Shining an ultraviolet light on scorpions induces a chemical response that causes them to glow green and become paralyzed, thus making them easy to find and safe to handle.______ Mach-banding effects will often occur when rendering adjacent regions of constant color that are slightly different.______ An image of a daytime scene can be made to look as if it were a nighttime scene by multi-plying the blue channel values by 0.925.______ NURBS stands for Non-Uniform Rotational B-Spline.______ The number of rays used to ray trace a scene will typically be exponential in the bounce depth.______ Computing motion blurred images of fast-moving objects is typically quite expensive.______ Ambient occlusion tends to smooth out the appearance of surface detail.______ Pasteurized coordinates facilitate representing perspective and translation using matrices.______ Overly large time-steps can cause a spring and mass simulation to go unstable.CS 184: Foundations of Computer Graphics page 3 of 11Fall 2006Prof. James O’BrienFinal Exam2. You are making a dress but need more fabric. You take a sample of your fabric to the store and find one that looks exactly the same color when held next to your sample. However when you get home you find that somehow the fabric you just bought no longer matches your sample. What is the most likely explanation for what has happened. 5 points3. Imagine that you have a CMYK printer where the cyan and magenta inks have been swapped. When one attempts to print the following colors, what colors will actually appear on the paper? 5 points! Red! ! _______________________! Green!! _______________________! Blue! ! _______________________! Cyan! ! _______________________! Magenta! _______________________! Yellow!! _______________________! Black! ! _______________________! White! ! _______________________CS 184: Foundations of Computer Graphics page 4 of 11Fall 2006Prof. James O’BrienFinal Exam4. Here is a piece of mesh. Draw the result of applying one iteration of Catmull-Clark subdivi-sion. Then circle all vertices (both original and the new ones you added) that are extraordi-nary. Note: I am only interested in the topology of your answer. 7 points5. Name a phenomenon that can be modeled easily using photon mapping but that cannot
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