One of the promising areas of software development is the modeling of shapes of various objects with graphical representation of the process itself. The relevance of creation of such systems is first and foremost substantiated by providing a potential user with opportunity to visualize the process of shaping the object under the influence of external factors. Such software modules are highly demanded in such fields as modeling of deformation of a steel ingot in manufacturing rolled steel, prediction of occurrence of defects caused by external influence upon objects of various shape, as well as visualization of work of technical equipment related to external impact upon the object, which changes its shape as a result of applied forces. Elaboration of such systems allows inventing emulators that are demanded in educational institutions, as they replace expensive equipment for training practical skills of the students. For example, in medical universities, such software and hardware systems can be used for acquiring practical skills of working with medical equipment, like installation of ultrasonography. The standard training process for carrying out ultrasound examination in a medical university consists of two stages: theoretical and practical. In the course of training, students are not allowed to use ultrasonography machine as many times to be able to acquire sufficient skills in working with medical equipment. Therefore, it is relevant to develop an assistant robotic system for training, which would serve as an emulator of an actual ultrasonography equipment. The first stage of implementation of such project is the development of a specialized software product that would allow visualizing the image of human organs in 3D format with an option of scaling, rotation and deformation, which occurs due to application of pressure on soft tissues using special joystick during ultrasonography examination.

There is currently a wide variety of navigation system, which allow determining the exact GPS coordinates and building a route taking based on the specified parameters. However, such systems are not suitable for indoor use, mostly due to no access to the floor plans. In view of this, it is relevant to minimize the time of searching for the location of a particular object, including in a building with complex hierarchical structure. The article examines the theoretical and practical developments in the sphere of navigation, conducts their comparative analysis, which indicated the need for designing the module for indoor navigation in a multi-storey building, considering the peculiarities of its floor plan. As a result, the authors designed the structure of the indoor navigation module in a building with complex hierarchical structure using the graph theory for detecting the shortest route and affine transformation algorithms for graphical representation of floor plan of a building on the example of the main building of the Nosov Magnitogorsk State Technical University. The article provides the description of its subsystems and blocks, as well as instruments for determining geopositioning of the object. The authors outline the prospects for the development of indoor navigation system, taking into account the peculiarities of creating electronic floor plans of a building based on the graph theory, as well as development of the algorithm for modification of the parameters of the existing 3D-objects. As a result of full implementation of the project, there will be designed the system of indoor navigation in a multi-storey building with complex hierarchical structure using a mobile app; it will help to easily find the geopositioning of the object and shortcuts.

The article considers the development of software for information processing in an assisting robotic-technical system. The goal of the article is to synthesize a set of algorithms which allow transforming a digital cube in correspondence with its compression and stretching at any angle to the surface with a given force, as well as visualizing the transformation results in a volumetric form and any flat section. The paper describes the solution of several problems - generating 3D-image in the form of a digital cube with the possibility of its stratification along a discrete mesh. The authors also present the development of algorithms for transforming a digital cube. As a result, an assisting robotic system, a software module for transforming and visualizing the quasi-cube of a virtual object were designed and further development directions of the system were identified.

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