## COM1370 Spring 2003 Final Exam Review-- Prof. Futrelle

### Tuesday 3 June - Closed book/notes

There will be three questions and one extra credit question on the Final Exam.

There will be a question involving 2D transformations using 3x3 matrices in homogeneous coordinates. You must understand both translation as well as rotation through simple angles such as π, -π/2, etc. Furthermore, you must be able to apply these to the points of an object to transform the object and redraw it in its new position. You must understand the composition of transforms, especially getting the order right. The matrix on the right is applied first! Remember that.

There will be a question that gives you an example and asks you to compare and explain the Sutherland-Hodgman algorithm used for polygon clipping and the Cohen-Sutherland algorithm used for line clipping.

There will be a question on illumination. You should study the basic illumination equation, Equation 16.5 on page 725 of your book. You should be ready to explain the significance of every term in the equation. You should also know how to compute the inner product of two vectors (sometimes called the dot product). You should realize that given the components of two vectors the inner product can be computed without any recourse to the angle involved or its cosine. The book treats inner products, with a bit of overkill, in Section A.3. It doesn't have to be this messy. In fact, the basics are so simple that practically every discussion of the inner product on the Web are well beyond the trivial understanding needed here. This is about as simple as it gets: http://mathworld.wolfram.com/DotProduct.html

There will be an extra credit question on RGB color. To answer this, you'll need to understand how the RGB components are varied to produce bright, pale, dark, and grayed ("distant") colors. See for example, http://www.geocities.com/deebeefreebee/colours.html

Go to Exam info page.