In the article information technologies of optimization of structures of the technical systems are examined at numerical bundles as comfortable mathematical models with a non-uniform structure on the example of development of models of quasibarker and pseudocasual sequences, development of optimal charts of renewal for the up-diffused calculations, development of effective filters of images, development of models of location of sensors of sensory network.

Dominant colors significantly influence visual image perception and are widely used in computer vision and design. Traditional extraction methods often neglect visually salient colors that occupy small areas yet possess high aesthetic relevance. This study introduces a method for detecting both dominant and visually prominent colors in a wide range of hues and images. We analyzed the color gamut of images in the CIE L^*a^*b^* color space and concluded that it is difficult to identify the dominant and prominent colors due to high color variability. To address these challenges, the proposed approach transforms images into the orthogonal ICaS color space, integrating the properties of RGB and CMYK models, followed by K-means clustering. A spectral residual saliency map is applied to exclude background regions and emphasize perceptually significant objects. Experimental evaluation on an image database shows that the proposed method yields color palettes with broader gamut coverage, preserved luminance, and visually balanced combinations. A comparative analysis was conducted using the ΔE₀₀ metric, which accounts not only for differences in lightness, chroma, and hue but also for the perceptual interactions between colors, based on their proximity in the color space. The results confirm that the proposed method exhibits greater color stability and aesthetic coherence than existing approaches. These findings highlight the effectiveness of the orthogonal saliency mean method for delivering a more perceptually accurate and visually consistent representation of the dominant colors in an image. This outcome validates the method’s applicability for image analysis and design.

This study develops a specialized method for the synthesis of intelligent platforms for cross-referral transition between cognitive basis systems (CBSs) in the field of HCI object perception subjectivization, within the context of global scientific and applied efforts to increase the intelligence level of interaction between humans and software and/or hardware products (SHPs). The proposed method comprises a conceptual model, a mathematical model, and a specialized algorithm. Practical implementation was conducted using R (within an appropriate IDE) and Python. The method was approbated by solving a relevant applied problem: synthesizing a cross-referral transition platform between a specialized CBS for HCI object perception subjectivization and an existing personality classification system based on 16 Jungian sociotypes. The results indicated a 29.5% baseline correspondence rate for pairs of dominant perception impact factors regarding their exclusive alignment with specific Jungian sociotypes. Furthermore, the accuracy rate of the built-in multilayer perceptron (MLP) artificial neural network (ANN) for dominant factor pairs reached approximately 83.3% ± 2.95%, while introducing a third dominant factor raised the accuracy threshold to a potential 96.7% within the evaluated scenario. In addition, the paper outlines prospects for further research into the potential of the proposed method for identifying and documenting cross-referral relationships between fundamental constituents of various conventional and alternative CBSs.