3D Matrix Transformation
Apply 4×4 transformation matrices to a cube and visualize in 3D.
Transformation Matrix (4×4)
Visualization
3D cube rendered with Plotly
Notes
Homogeneous coordinates are used; vectors are normalized by w after transformation.
How To Use
Follow these steps to transform 3D objects with matrices
Enter Matrix
Input your 4×4 transformation matrix in the text area, with each row on a new line and values separated by spaces or commas.
Use Presets
Try the preset matrices for common transformations like identity, rotation, scaling, and translation.
Apply Transform
Click the 'Apply Transform' button to see how the matrix affects the 3D cube visualization.
Analyze Results
Observe the transformed cube in the 3D visualization and understand how the matrix changed the object's position, rotation, and scale.
3D Matrix Transformation is a powerful tool for understanding linear algebra concepts in computer graphics and 3D modeling. By applying 4×4 transformation matrices to a cube, you can visualize how matrices affect position, rotation, scaling, and other transformations in 3D space. This tool uses homogeneous coordinates for accurate 3D transformations and provides an interactive Plotly visualization for clear understanding. The tool supports various transformation types including translations, rotations around different axes, scaling operations, and complex combinations of these transformations.
Subjects Covered
- Homogeneous coordinates and 4×4 transformation matrices
- Translation, rotation, and scaling transformations
- Matrix multiplication and vector transformations
- 3D coordinate systems and perspective projection
- Computer graphics fundamentals and linear algebra applications
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