Geodesic
Non-linear Fractal Interpolating Functions
We consider two non-linear generalizations of fractal interpolating functions generated from iterated function systems. The first corresponds to fitting data using a Kth-order polynomial, while the second relates to the freedom of adding certain arbitrary functions. An escape-time algorithm that can be used for such systems to generate fractal images like those associated with Julia or Mandelbrot sets is also described.
Classification : 28A80 
@article{VM_2002_4_1_a5,
     author = {R. Kobes and H. Letkeman},
     title = {Non-linear {Fractal} {Interpolating} {Functions}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2002_4_1_a5/}
}
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AU  - R. Kobes
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TI  - Non-linear Fractal Interpolating Functions
JO  - Visual Mathematics
PY  - 2002
VL  - 4
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VM_2002_4_1_a5/
LA  - en
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%A H. Letkeman
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%J Visual Mathematics
%D 2002
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R. Kobes; H. Letkeman. Non-linear Fractal Interpolating Functions. Visual Mathematics, Tome 4 (2002) no. 1. http://geodesic.mathdoc.fr/item/VM_2002_4_1_a5/