New methods for estimating the dimension fractal introducing the artificial intelligence. (English) Zbl 1188.62331
Summary: Methods provided actually for estimating the fractal dimension (especially methods of Richardson, Minkowski, Weibel and Flook) differ only by the way which is how to recover the fractal subject previously studied. The concept of optimal recovery is not found by these methods but in fact, the more we minimize this tool the more it gets close to the theoretical dimension. Therefore, we develop a new concept which incorporates artificial intelligence, and consequentially the concept of optimality is put forward.
MSC:
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
| 92C50 | Medical applications (general) |
| 62N03 | Testing in survival analysis and censored data |
| 68U10 | Computing methodologies for image processing |
Keywords:
adjustment tests; Markov fields; fractal dimension; stereological simulation; cancer tumorsReferences:
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