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We generalize the point information gain (PIG) and derived quantities, i.e., point information gain entropy (PIE) and point information gain entropy density (PIED), for the case of the Rényi entropy and simulate the behavior of PIG for typical distributions. We also use these methods for the analysis of multidimensional datasets. We demonstrate the main properties of PIE/PIED spectra for the real data with the examples of several images and discuss further possible utilizations in other fields of data processing. [ABSTRACT FROM AUTHOR]

The term precision of a value describes the total number of significant digits that are used to express that value. False precision is presented in data, where the sampling and chosen data file format coding return values with extra non-valid digits. The proper precision in value thus depends on so-called magnitude in digital data coding. The presence of the false precision is file format dependent. The amount of dataset points could be decreased by removing false precision (where it is present) to almost 10% of the raw measurement without loss of information. [ABSTRACT FROM AUTHOR]

Abstract: We report objective analysis of information in the microscopic image of the cell monolayer. The process of transfer of information about the cell by the microscope is analyzed in terms of the classical Shannon information transfer scheme. The information source is the biological object, the information transfer channel is the whole microscope including the camera chip. The destination is the model of biological system. The information contribution is analyzed as information carried by a point to overall information in the image. Subsequently we obtain information reflection of the biological object. This is transformed in the biological model which, in information terminology, is the destination. This, we propose, should be constructed as state transitions in individual cells modulated by information bonds between the cells. We show examples of detected cell states in multidimensional state space. This space is reflected as colour channel intensity phenomenological state space. We have also observed information bonds and show examples of them. [Copyright &y& Elsevier]