OpenGL Graphics Library

7.

Coordinate Systems and Transformations

7.1.

3D Coordinate Systems

7.1.1.

Cartesian Coordinates

7.1.2.

Right-Handed vs Left-Handed Systems

7.1.3.

Coordinate System Conventions

7.2.

Transformation Pipeline

7.2.1.

7.2.2.

7.2.3.

7.2.4.

7.2.5.

Normalized Device Coordinates

7.2.6.

7.3.

Matrix Mathematics

7.3.1.

Matrix Representation

7.3.2.

Matrix Operations

7.3.3.

Matrix Multiplication

7.3.4.

7.3.5.

Matrix Transpose

7.4.

Transformation Types

7.4.1.

7.4.2.

7.4.3.

7.4.4.

7.4.5.

7.5.

Transformation Matrices

7.5.1.

Translation Matrix

7.5.2.

Rotation Matrices

7.5.2.1.

Rotation about X-axis

7.5.2.2.

Rotation about Y-axis

7.5.2.3.

Rotation about Z-axis

7.5.2.4.

Arbitrary Axis Rotation

7.5.3.

7.5.4.

Composite Transformations

7.6.

Model Transformation

7.6.1.

Local to World Transformation

7.6.2.

Model Matrix Construction

7.6.3.

Hierarchical Transformations

7.7.

View Transformation

7.7.1.

Camera Positioning

7.7.2.

7.7.3.

View Matrix Construction

7.7.4.

Camera Controls

7.8.

Projection Transformation

7.8.1.

Orthographic Projection

7.8.1.1.

Orthographic Matrix

7.8.1.2.

Parallel Projection

7.8.2.

Perspective Projection

7.8.2.1.

Perspective Matrix

7.8.2.2.

7.8.2.3.

7.8.2.4.

Near and Far Planes

7.9.

Model-View-Projection Matrix

7.9.1.

Matrix Combination

7.9.2.

Multiplication Order

7.9.3.

Shader Integration

7.10.

Mathematics Libraries

7.10.1.

7.10.1.1.

Vector Operations

7.10.1.2.

Matrix Operations

7.10.1.3.

Transformation Functions

7.10.2.

Custom Math Implementation

Previous

6. Shaders and GLSL

Go to top

Next

8. Texturing