FinalExam Sp07

Real-Time Rendering (2nd Edition)

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ECE 595 / CS 491 / CS591 Real-time Rendering and Graphics Hardware, Spring 2007 Final Exam This is a take-home final exam. This means that you can use books, notes and online resources to help you answer these questions. However, you cannot ask others for help, whether in person or online. You are to answer all the questions on your own. The exam will be released to you on Monday May 7 and you are to turn it in Thursday May 10 by 11:59pm. You can either email me your exam or slip it under my door by this time. ___________________________________________________________ Name
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1. [10] Derive the complete perspective projection transformation matrix. Assume that (as in OpenGL), the frustum is defined in x by the left plane l and the right plane r , in the y axis by the bottom plane b and the top plane t , and in the z axis by the near plane n and the far plane f . Assume that n and f are defined as the positive distance to the near and far plane, even though they are located in –z. Unlike OpenGL, set up the transformation so that it transforms the frustum to the cubic volume which ranges from –c to c on each axis.
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2. [5] Given the triangle below and the point P, show geometrically how you would compute the barycentric coordinates ( α , β , γ ) for the given point [4] . Remember that the barycentric coordinates would interpolate the values at vertices A, B, C at point P as α A + β B + γ C. [1] What is α + β + γ equal to?
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This homework help was uploaded on 01/30/2008 for the course ECE 595 taught by Professor Sen during the Spring '07 term at New Mexico.

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FinalExam Sp07 - ECE 595 / CS 491 / CS591 Real-time...

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