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Specular Reflections - Foundations of Computer Graphics - Exams, Exams of Computer Graphics

Avinashilingam UniversityComputer Graphics

Main points of this exam paper are: Suvart-Vittal Decomposition, Right-Hand Rule, Used Standard, Permuted, Quaternions Represent, Scale Matrix, Human Eye, Intersecting Polygons, Computer Graphics, Video Gam

Typology: Exams

2012/2013

Uploaded on 04/02/2013

shamabhat_84
shamabhat_84 🇮🇳

80 documents

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Student Name: Student ID:
Instructions: Read them carefully!
The exam begins at 2:40pm and ends at 4:00pm. 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 one page 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: 105 You Scored: ________
CS 184: Foundations of Computer Graphics page 1 of 12
Fall 2006
Prof. James O’Brien
Midterm Exam
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Student Name: Student ID: Instructions: Read them carefully! The exam begins at 2:40pm and ends at 4:00pm. 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 one page 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: 105 You Scored: _________ CS 184: Foundations of Computer Graphics page 1 of 12 Fall 2006 Prof. James O’Brien

  1. Answer the following questions with True (T) or False (F) 1 point each ______ Computer graphics has applications in the area of medicine. ______ Vector-based images can only be displayed when printed on paper. ______ The dynamic range of the human eye is quite small so computer generated images must be desaturated to avoid eye strain. ______ All linear transformations in 3D can be expressed as a 4x4 matrix using pasteurized vec- tors. ______ A linear transformation can be decomposed into a series of scales and rotations using the Suvart-Vittal decomposition. ______ The “right-hand rule” defines the commonly used standard for how rotations should be done. ______ A series of 2D rotations can be permuted and the final result will not change. ______ A scale matrix always has determinant +1. ______ Quaternions represent 3D rotations in a manner analogous to the way in which complex numbers represent 2D rotations. ______ The images you see with your eyes have no more that four vanishing points. ______ The term “Z-buffer” was trademarked by an American company, as a result other countries use the term “Zed-buffer” to refer to the same method. ______ Any set of convex, non-intersecting polygons can be sorted in front-to-back order. ______ The cones in the human eye are mainly located in the lens of the eye. ______ The methods used in video games are not really related to computer graphics. ______ Humans are very good at differentiating between a color and other colors they have seen previously. CS 184: Foundations of Computer Graphics page 2 of 12 Fall 2006 Prof. James O’Brien
  1. You start to paint a wall but run out of paint half way through. You go to a store where you find another brand of paint that looks the same color the one you started with. Unfortunately when you get to your home you find the color does not match what you have on the wall. Concisely give a likely explanation for what has happened. (Assume the paint does not change color as it dries.) 5 points
  2. The following diagram shows the the x-y plane of the CIE color space. Mark and label one plausible location each for red, green, and blue basis colors. Indicate the color gamut for the color basis you have shown. 5 points x y
  3. You have a 3x3 matrix. You generate 100 random vectors and multiply each one by your ma- trix. You notice that while the vectors are all changed by the multiplication, the magnitude of each vector is not changed by doing this multiplication. What can you infer about your ma- trix from this information? 6 points CS 184: Foundations of Computer Graphics page 4 of 12 Fall 2006 Prof. James O’Brien
  1. Given a rotation encoded as a quaternion, how is the rotation changed when the quaternion representation is negated? 2 points
  2. In the diagram below, indicate the point on the line that will appear brightest to the observer if the line acts like a diffuse reflector. 3 points
  3. In the diagram below, indicate the point on the line that will appear brightest to the observer if the line acts like a specular reflector. 3 points
  4. Name a physical phenomena that can cause the appearance of color on a surface to change dramatically as the location of the observer is changed. 3 points CS 184: Foundations of Computer Graphics page 5 of 12 Fall 2006 Prof. James O’Brien
  1. The diagram below shows a light source, a glass sphere, and a diffuse surface. Draw lines illustrating the formation of a refraction caustic. Your diagram must be geometrically plau- sible. 5 point
  2. This diagram shows a triangle with vertices labeled a, b, and c. Several locations have been indicated with circles. The list of numbers to the right contains triples of numbers repre- senting the barycentric coordinates of these circles. Draw a line connecting each triple with the correct circle. 5 points

a

b

c

0, 0, 1 0.333, 0.333, 0. 0, 0.5, 0. 0.75, 0.75, -0. 0.8, 0.1, 0. CS 184: Foundations of Computer Graphics page 7 of 12 Fall 2006 Prof. James O’Brien

  1. The following line segments will be inserted into a BSP Tree in the order indicated. As dis- cussed in class, the segments themselves will be used to define the split planes. The num- bers are on the positive side of each line. 1 2 3 4 5 6 7 Diagram the resulting tree below. If needed, show where line segments need to be split by marking on the above figure. Also, indicate the names of the split parts by writing labels on the figure above. (For example, if there were a segment 9 and it was to be split, you would draw a mark showing where it would be split and label the resulting pieces 9a and 9b.) 6 points List the back-to-front traversal order that would result for the location indicated by the star shaped icon. 3 points CS 184: Foundations of Computer Graphics page 8 of 12 Fall 2006 Prof. James O’Brien
  1. What physical phenomena is key to producing the realistic appearance of skin, but is not captured in the BRDF model of light-object interaction? 2 points
  2. Give a concise definition of what a “light field” is. 4 points
  3. Indicate which of the following uses which method for shading. Draw a line connecting the image with the appropriate label. 3 points Flat shading Interpolating color values Interpolating normal values CS 184: Foundations of Computer Graphics page 10 of 12 Fall 2006 Prof. James O’Brien
  1. Circle the types of transformations that to be expressed in matrix form require homogenized coordinates. 5 points Translation Scale Rotation Shear Perspective
  2. Assume that I want to ray trace an image, and I decide that each time a ray strikes a surface I will send out K number of rays to sample the light coming in to that surface. How will my rendering time grow as I increase recursion depth? 2 points
  3. Write out the quadratic equation. If you are trying to intersect a ray with a sphere, what part of this equation is relevant to determining if your ray has hit the sphere? Explain how it is relevant. 3 points
  4. What is wrong with this picture? 2 points view plane e CS 184: Foundations of Computer Graphics page 11 of 12 Fall 2006 Prof. James O’Brien