<< Chapter < Page | Chapter >> Page > |
I will also provide exercises for you to complete on your own at the end of most of the modules. Those exercises will concentrate on the material that youhave learned in that module and previous modules.
II recommend that you open another copy of this module in a separate browser window and use the following links to easily find and view the Figuresand Listings while you are reading about them.
In this module, I will introduce you to an excellent interactive tutorial titled Vector Math for 3D Computer Graphics written by Dr. Bradley P. Kjell, (which you can also download in zip-file format from a link in the first module in this collection) . Then I will present and explain two sample programs and a sample game-programming math library intended to implement concepts from Dr.Kjell's tutorial in Java code.
Your homework assignment from the previous module was to study CHAPTER 0 -- Points and Lines and also to study CHAPTER 1 -- Vectors, Points, and Column Matrices down through the topic titled Variables as Elements in Kjell's tutorial.
You may have previously believed that you already knew all there was to know about points and lines. However, I suspect that you found explanations of some subtleissues that you never thought about before when studying those tutorials. In addition, Kjell begins the discussion of vectors and establishes the relationship between a vector and acolumn matrix in this material.
Represent a point with a column matrix
Hopefully you understand what Kjell means by a column matrix and you understand that a column matrix can be used torepresent a point in a given coordinate frame. The same point will have different representations in different coordinate frames. (You must know which coordinate frame is being used to represent a point with a column matrix.)
Notification Switch
Would you like to follow the 'Game 2302 - mathematical applications for game development' conversation and receive update notifications?