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Unformatted text preview: , or are some pieces missing? Can this explain any
discrepancies between your IFS image and the videofeedback image?
Prob 2.8.1 Refer to the videofeedback images of Fig. 2.52.
Prob 2.8.2 Refer to the videofeedback images of Fig. 2.53. (a) (b)
Figure 2.52: Videofeedback images for Prob. 2.8.1 (a) (b)
Figure 2.53: Videofeedback images for Prob. 2.8.2 86 2.9 CHAPTER 2. ITERATED FUNCTION SYSTEMS Some topological questions about IFS attractors Solving the inverse problem for IFS, that is, ﬁnding IFS rules with attractor
approximating a given compact set, can be viewed as a search (usually very far
from random) through IFS rule space. Some understanding of the geometry
and topology of rule space could guide our search.
To begin, what can be said about the range of the individual parameters, r,
s, θ, ϕ, e, and f , if the transformation is a contraction?
Being translations, e and f have no eﬀect on contractivity. Before moving
on to the other parameters, recall from Prob. 2.1.4 that multiplying all the ei
and fi of an IFS by a factor w changes the...
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