Remote sensing of the Earth allows to receive information of medium, a high spatial resolution from space vehicles and to conduct hyperspectral measurements. We propose a new approach of construction of 3D-models of the Earth's surface in urban environments using remote sensing technologies. The main idea is the use of the algebra of geometric objects (addition, subtraction, multiplication, a division of objects and grids, multiplication of an object by a factor, raising an object to power, factoring, etc.). These operations automate the process of multidimensional modeling. We have developed programs that automate the process of geometric programming of scenes, in particular, scenes on the surface of the Earth (for example, trees, buildings, roads, and their arrays). In the Matlab software environment, a script library has been developed in the field of processing geometric objects, including such categories as the generation of urban objects; algebraic operations; texturing, marking and painting; work with objects in dynamics; work with random objects; differentiation and integration of objects and others. Examples of programs for automating the construction of 3D models of residential arrays based on the simplest scenarios (using algebraic operations of multiplying an object by a coefficient, a coefficient by a coefficient, an object by an object, an object by a grid of points and a line of points) are given.
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