Homogeneous Transformations

Use the controls to build a homogeneous transform and watch how it moves the points and frame axes.

Rotation (degrees)

Translation

Homogeneous Matrix

Edit the entries (last row is fixed). Rotation overrides gray out the angle sliders; translation edits gray out the position sliders.

Legend

  • Original points (world coordinates)
  • Transformed points (matrix applied)
  • Dark axes: world frame
  • Bright axes: transformed frame

World View (Transform acts on points)