Homogeneous coordinates are fundamental in computer graphics, facilitating efficient representation and manipulation of geometric transformations. This README outlines their key applications:
Homogeneous coordinates simplify the representation of transformations like scaling, rotation, and translation as matrix multiplications, easing integration into graphics pipelines.
These coordinates enable the creation of translation and shear matrices, essential for positioning and distorting objects within a graphics scene.
Homogeneous coordinates provide an elegant solution for modeling and viewing transformations, ensuring consistency and efficiency in rendering.
Used for projecting 3D objects onto a 2D screen, projection matrices benefit from homogeneous coordinates, ensuring accurate rendering of scenes.
Homogeneous coordinates find extensive use in:
- 3D rendering engines
- CAD
- VR/AR systems
- Animation/VFX production
- Medical imaging/scientific visualization
Further to understand better , Manim was used to help in visualizing transformations, enhancing understanding and intuition regarding their effects on objects.