Abstract
The random-dot model has been extended to the analysis of photographic granularity that contains grain aggregations. In this model grains can have arbitrary transmittance profiles and make circular-shaped aggregations. Doubly stochastic Poisson processes are used to construct the model, and statistical properties of the model are investigated theoretically. Rigorous expressions for average transmittance and transmittance autocorrelation function are obtained explicitly. For circular and monosized grains, simple expressions of average transmittance and transmittance autocorrelation function are obtained approximately. By means of numerical examples of the results, the influences of grain aggregations on granularity properties are discussed.
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