„Algèbre aérienne” – modèle conceptuel pour l'intégration des données de drone dans l'analyse mathématique de l'environnement [Articol]

Abstract

The article proposes the innovative concept of “aerial algebra” as a theoretical and applied model for integrating data from UAV platforms into mathematical environmental analysis. The model defines a multidimensional algebraic framework, in which sensory data – thermal, LIDAR and spectral – are represented as spatio-temporally correlated vector matrices, allowing the application of aggregation, interpolation and correlation operators. The methodology includes acquisition, preprocessing, algebraic modeling and interpretive analysis stages, implemented through specialized algorithms and 3D visualization. The case study on temperature and humidity variations in a forest area demonstrates the feasibility and accuracy of the model,acquisition, preprocessing, algebraic modeling and interpretive analysis stages, implemented through specialized algorithms and 3D visualization. The case study on temperature and humidity variations in a forest area demonstrates the feasibility and accuracy of the model, by comparing UAV results with theoretical models. Aerial algebra proves to be an interdisciplinary tool, located at the intersection of applied physics, computational mathematics and digital education, offering new possibilities for spatial analysis, prediction of environmental phenomena and training of STEAM skills. The paper confirms the potential of the model to underpin educational platforms and open-source applications for intelligent integration of aerial data.