Intro Test  cap 6701   
Please write clearly!
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The goal of the introtest is to calibrate the level of the
(dis)course and discover gaps if any.
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Answers without explanation are worth 0 points. Sketches are welcome.
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<b> Pbm 1: Transformations </b>
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Why do experienced programmers use quaternions for rotation?
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Give a math description of how to orthogonally flip a point about a line.
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<b> Pbm 2: Lighting in OpenGL</b>
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A red light shines on a green ball.
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Where (in what OpenGL context) does one specify "red" and "green"?
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What is visible on the screen, assuming ball and light are reasonably placed.
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<b> Pbm 3: Pipeline </b>
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What is the main input type for a Vertex Shader?
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What is the main output type of a Fragment Shader?
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Why did early graphics pipelines not include Tessellation and 
Geometry Shaders?
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<b> Pbm 4: Texture </b>
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How does one map a texture onto  a triangulation?
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What is cube mapping?
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How does one map a texture onto  a spline surface?
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<b> Pbm 5: Spline curves </b>
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To create a closed, planar curve of degree 3 in B-spline form, 
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if each polynomial segment is to trace out an arc of Pi/2 around the origin,
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how many B-spline coefficients and
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how many knots are needed ?
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<b> Your background </b>
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What graphics classes (state name and instructor) have you had so far?
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What do you hope to learn?
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