Мультирівнева організація рендерингу у моделюванні інтерактивних карт

Abstract

The paper considers the problem of optimizing the level of detail LOD in interactive 3D maps used for real-time visualization of spatial data. A mathematical sigmoid logistic model is proposed that takes into account key parameters: distance to the object, camera viewing angle, current CPU/GPU load, and device resource capacity. It is shown that the use of the logistic function allows adaptively and smoothly adjusting the level of detail, ensuring the optimal balance between image quality and rendering performance. Formulas describing the dependence of LOD on input parameters are theoretically substantiated, and a method for discretizing levels of detail is also proposed. An analysis of the influence of individual factors on the value of the parameter φφ, which determines the degree of detail, is carried out. The correctness of the model is experimentally confirmed using the example of a complex polygon mesh with over 400 thousand edges. The results obtained demonstrate that the model allows to significantly reduce the load on the graphics system without losing important visual details on the map. The proposed approach is universal and can be applied for adaptive rendering in various geographic information systems. The work opens up prospects for further development of models taking into account additional parameters and integration with modern optimization algorithms.