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← Series of Transforms - Interactive 3D Graphics

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Showing Revision 2 created 05/25/2016 by Udacity Robot.

  1. For this first one, translations represent movements. Just like vectors can be
  2. summed together to make a single movement vector, translations can be multiplied
  3. together to get a single translation. The order that we add the vectors doesn't
  4. matter. Likewise, translation order among translations doesn't matter. So the
  5. answer is yes. Rotation order certainly does matter. Reversing the order will
  6. normally change the effect. So this second question's answer is no. For scaling,
  7. each access scale is independent of the others. If you stretch an object along
  8. the y-axis, its x and z coordinates do not change. Because each is independent,
  9. there is no danger of the scales interacting with each other. Each axes' scale
  10. factors can simply be multiplied together. Multiplication is commutative, so the
  11. scales can be done in any order. Yes. For this last question, say you rotate
  12. around the y-axis and translate along the same axis. The rotations can be done
  13. in any order, since each is just an angle change around the y-axis. The rotation
  14. affects the x and z coordinates of any point transformed. Translation affects
  15. only the y coordinates. Since these are independent values, rotations and
  16. translations along the axis can be evaluated in any order. So the answer here is
  17. yes.