Often in computer graphics and game programming, you will need to use matrices to move vectors and points around onscreen, such as to move a point or piece of geometry to a new position. This process is called trans­formation. Matrices… читать далее

C ontains skeletal animation! Revolutionary skeletal animation system! Realistic animations! Look at almost any new 3D game’s box—these words, or some form of them, jump right out at you. It seems that every new game uses some form of skeletal… читать далее

As you have probably noticed, there is a CD attached to the back cover of the book. There is lots of cool stuff on there. All of the source code for all the model formats discussed in the book, plus… читать далее

There is one huge reason that conversion between Euler angles and quaternions is necessary—ease of use. Because it is impossible to visualize a quaternion, it is very hard to enter one into a program. If a modeling program wants you… читать далее

That pretty much wraps up the introduction to skeletal animation. But before you go, take a look at some of cool stuff that can be done with more advanced techniques, beyond the scope of this book. Figure 5.11 shows a… читать далее

Transposing matrices is important in game programming because it is a fast, easy way to calculate the inverse of orthogonal matrix. Now, let your brain relax a bit; this operation is much easier. To transpose a matrix all you have… читать далее

I bet you are anxious to see some results of your hard work, even though you haven’t added textures yet. In this section, you learn how to render the frames by themselves. A frame in the case of an MD2… читать далее

Take a look at the following directory on the CD: /Code/Chapterl/ or /Code/Math. Here, you will find C++ classes to store and manipulate matrices and vectors. There are separate classes for 3×3 and 4×4 matrices, both defined and implemented in… читать далее

Skeletal animation is the use of “bones” to animate a model rather than editing and moving each vertex or face manually. Each vertex is at­tached to a bone (or in some cases multiple bones). A bone or joint is simply… читать далее

I hope you find this book useful as you start writing your dream 3D game. The best thing to do is try to write your own code from the text, instead of copying it from the examples. You will learn… читать далее