Video Feedback

Exercise Solutions

We measure the source point coordinates p1 = (0, 0), p2 = (1.1, 0), and p3 = (-.3, 1.1).

For the target points on the upper (left) mirror we measure q1 = (-2.4,5.5), q2 = (-2.0,5.0), and q3 = (-2.9,5.4) From this data the affine transformation calculator finds r s theta phi e f -.58 .42 129 121 -2.4 5.5 For the target points on the upper right image we measure q1 = (4.2,4.7), q2 = (4.3,4.3), and q3 = (4.7,4.7) From this data the affine transformation calculator finds r s theta phi e f .37 .49 -76 -102 4.2 4.7 For the target points on the monitor we measure q1 = (-1.2,-.8), q2 = (-1,-.3), and q3 = (-2,-.6) From this data the affine transformation calculator finds r s theta phi e f .49 .74 68 66 -1.2 -.8 For the target points on the right mirror we measure q1 = (6.5,-.4), q2 = (6,.1), and q3 = (6.8,-.1) From this data the affine transformation calculator finds r s theta phi e f -.64 .42 -50 -21 6.5 -.4

Combining these we have these IFS rules and this picture. Here is the videofeedback image for comparison.

r s theta phi e f -.58 .42 129 121 -2.4 5.5 .37 .49 -76 -102 4.2 4.7 .49 .74 68 66 -1.2 -.8 -.64 .42 -50 -21 6.5 -.4 To understand part of the difference, here is the IFS picture with the address 1 region in red, using the highlight address opton in the edit menu.

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