Rigid-Body Transformations
  • Rigid-body, or Euclidean transformations

  • Preserve the shape of the objects that they act on

  • Includes rotations and trnaslations (just as in two dimensions)
Recall our representation for the coordinates of 3-D points. We represent these coordinates in column vectors. A typical point with coordinates (x, y, z) is represented as:


This is not the only possible representation. You may encounter textbooks that consider points as row vectors. What is most important is that you use a consistent representation.
Lecture 9   Slide 8   6.837 Fall '01