We study the amount of information that is contained in “random pictures”, by which we mean the sample sets of a Boolean model. To quantify the notion “amount of information”, two closely connected questions are investigated: on the one hand, we study the probability that a large number of balls is needed for a full reconstruction of a Boolean model sample set. On the other hand, we study the quantization error of the Boolean model w.r.t. the Hausdorff distance as a distortion measure.
CITATION STYLE
Aurzada, F., & Lifshits, M. (2019). How complex is a random picture? Journal of Complexity, 53, 133–161. https://doi.org/10.1016/j.jco.2018.11.003
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