Book Image

C++ Game Animation Programming - Second Edition

By : Michael Dunsky, Gabor Szauer
4.5 (2)
Book Image

C++ Game Animation Programming - Second Edition

4.5 (2)
By: Michael Dunsky, Gabor Szauer

Overview of this book

If you‘re fascinated by the complexities of animating video game characters and are curious about the transformation of model files into 3D avatars and NPCs that can explore virtual worlds, then this book is for you. In this new edition, you’ll learn everything you need to know about game animation, from a simple graphical window to a large crowd of smoothly animated characters. First, you’ll learn how to use modern high-performance graphics, dig into the details of how virtual characters are stored, and load the models and animations into a minimalistic game-like application. Then, you’ll get an overview of the components of an animation system, how to play the animations and combine them, and how to blend from one animation into another. You’ll also get an introduction to topics that will make your programming life easier, such as debugging your code or stripping down the graphical output. By the end of this book, you’ll have gained deep insights into all the parts of game animation programming and how they work together, revealing the magic that brings life to the virtual worlds on your screen.
Table of Contents (22 chapters)
1
Part 1:Building a Graphics Renderer
7
Part 2: Mathematics Roundup
10
Part 3: Working with Models and Animations
15
Part 4: Advancing Your Code to the Next Level

A review of the matrix and its operations

A matrix is used for operations that require storing more than three or four values, as in a vector, such as a rotation of a vector or a perspective change for all objects in a scene.

The matrix data type consists of rows and columns, creating a 2D collection of elements. All elements of the matrix must have the same data type.

Let’s start with the mathematical representation to get an understanding of what a matrix is.

Matrix representation

A matrix is written as a grid of elements, and the elements are identified by the indices for the row (first index) and the column (second index) of their position. The dimensions of a matrix are given as rows x columns, so a 2 x 3 matrix has 2 rows and 3 columns.

These two matrices, A and B, have the dimensions 2 x 2 and 3 x 3:

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mrow><mrow><mi>A</mi><mo>=</mo><mfenced open="[" close="]"><mtable columnspacing="0.8000em" columnwidth="auto auto" columnalign="center center" rowspacing="1.0000ex" rowalign="baseline baseline"><mtr><mtd><msub><mi>a</mi><mn>11</mn></msub></mtd><mtd><msub><mi>a</mi><mn>12</mn></msub></mtd></mtr><mtr><mtd><msub><mi>a</mi><mn>21</mn></msub></mtd><mtd><msub><mi>a</mi><mn>22</mn></msub></mtd></mtr></mtable></mfenced><mi>B</mi><mo>=</mo><mfenced open="[" close="]"><mtable columnspacing="0.8000em 0.8000em" columnwidth="auto auto auto" columnalign="center center center" rowspacing="1.0000ex 1.0000ex" rowalign="baseline baseline baseline"><mtr><mtd><msub><mi>b</mi><mn>11</mn></msub></mtd><mtd><msub><mi>b</mi><mn>12</mn></msub></mtd><mtd><msub><mi>b</mi><mn>13</mn></msub></mtd></mtr><mtr><mtd><msub><mi>b</mi><mn>21</mn></msub></mtd><mtd><msub><mi>b</mi><mn>22</mn></msub></mtd><mtd><msub><mi>b</mi><mn>23</mn></msub></mtd></mtr><mtr><mtd><msub><mi>b</mi><mn>31</mn></msub></mtd><mtd><msub><mi>b</mi><mn>32</mn></msub></mtd><mtd><msub><mi>b</mi><mn>33</mn></msub></mtd></mtr></mtable></mfenced></mrow></mrow></math>

Null matrix and identity matrix

As with vectors, matrices also have two types with special meanings:

  • The identity matrix is one of the most...