Fractals with Optimal Information Dimension
We present novel fractals with dimension that is close to the optimal value of e . The examples are for up to 10-way branching at each iteration, and they include symmetric and asymmetric ones, as well as those where in addition to holes, a few layers of other regions are peeled. Only representative...
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| Veröffentlicht in: | Circuits, systems, and signal processing systems, and signal processing, 2021-11, Vol.40 (11), p.5733-5743 |
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| container_title | Circuits, systems, and signal processing |
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| creator | Kak, Subhash |
| description | We present novel fractals with dimension that is close to the optimal value of
e
. The examples are for up to 10-way branching at each iteration, and they include symmetric and asymmetric ones, as well as those where in addition to holes, a few layers of other regions are peeled. Only representative fractals are described, and the method can be used to find many other designs. Since natural systems are likely to be optimal, the examples have potential applications in both natural and engineered systems. |
| doi_str_mv | 10.1007/s00034-021-01726-5 |
| format | Article |
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| identifier | ISSN: 0278-081X |
| ispartof | Circuits, systems, and signal processing, 2021-11, Vol.40 (11), p.5733-5743 |
| issn | 0278-081X 1531-5878 |
| language | eng |
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| source | SpringerLink Journals |
| subjects | Circuits and Systems Electrical Engineering Electronics and Microelectronics Engineering Fractals Instrumentation Short Paper Signal,Image and Speech Processing |
| title | Fractals with Optimal Information Dimension |
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