Modeling the Logarithmic and Exponential Transformation Algorithms for Optical Density in Decision Support Models and Methods

Abstract

The problem of constructing a model for the darkness level of monochromatic halftone image printed with "black" ink based on the light reflection coefficient from the image surface using optical density in logarithmic and exponential transformation algorithms was considered. The intensity of visual perception of optical density within a specified tone reproduction range was quantitatively evaluated and analyzed. Characteristics of optical density dependence for different transformation algorithms were determined and analyzed in terms of their properties. Deviations, sensitivity to changes in parameters, and the intensity of visual perception of optical density were determined between the algorithms. For modeling and studying the transformation algorithms, the MATLAB package, specifically Simulink, was applied. Based on this, a structural model scheme was developed, allowing parallel calculation and construction of optical density characteristics for different transformations, determining their deviations, sensitivity to parameter changes, and assessing the intensity of visual perception within the specified tone reproduction range. The results of simulation modeling in the form of optical density dependencies, their sensitivity, and intensity of visual perception for different transformation algorithms were presented and analyzed for their properties. It was established that the proposed exponential algorithm provides better image perception by the human visual system, which is its advantage.