Computer Graphics Transforms
Matrices that move, rotate and scale 3D objects.
Key idea
Matrices that move, rotate and scale 3D objects.
In depth
Rotating, scaling and moving objects are done with matrices applied to vertex coordinates. Combining transformations by multiplying matrices makes pipelines efficient.
Worked example
Scale by 2 then rotate 30° is R(30°)S(2) applied to every point.
Real-world uses
- Moving, rotating and scaling characters and cameras in video games and CGI films
Common mistake
Applying transformations in the wrong order, which changes the result.
How to learn this
- Read the key idea and say it in your own words.
- Work through the worked example, then try a similar problem.
- Use the interactive lesson’s visual and mini-quiz to check the pattern.
Frequently asked questions
What is Computer Graphics Transforms?
Matrices that move, rotate and scale 3D objects. It is a topic at the advanced level in Linear Algebra.
Where is Computer Graphics Transforms used in real life?
Real-world examples: Moving, rotating and scaling characters and cameras in video games and CGI films.
What should I learn before Computer Graphics Transforms?
Make sure you are comfortable with Google PageRank, the previous topic in Linear Algebra.
What is a common mistake with Computer Graphics Transforms?
Applying transformations in the wrong order, which changes the result.
How can I practise Computer Graphics Transforms?
Open the interactive lesson, play with the visual, then answer the three-question mini-quiz. Getting two right marks the topic complete.
What comes after Computer Graphics Transforms?
Move on to Homogeneous Coordinates next.
Related advanced topics in Linear Algebra
- Dot Product – Sum of component products.
- Angle Between Vectors – Cosine from the dot product.
- Orthogonality – Vectors are orthogonal when their dot product is 0.
- Projection – Component of one vector along another.
- Cross Product – A vector perpendicular to two vectors in 3D.
- Lines and Planes in Vector Form – Parametric and normal equations.