TECHNOLOGIES OF VIRTUAL ENVIRONMENT IN THE INTERFACE OF ECONOMIC INFORMATION SYSTEMS 

Kosnikov Yuriy Nikolaevich, doctor of technical sciences, professor, sub-department of information and computing systems,
Penza State University (40 Krasnaya street, Penza, Russia), E-mail: kosnikov@gmail.com
Kol'chugina Elena Anatol'evna, doctor of technical sciences, professor, sub-department of mathematical support and computer applications, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: kea@pnzgu.ru 

004.942 

Background. The human-machine interface of the virtual environment is becoming more widely used in economic information systems. The objects of spatial interface have an arbitrary, including curvilinear, shape. The non-analytical form of objects is given by a scalar field. The information technology of building an interface containing such objects is proposed. Recommendations for displaying interface objects in real time are given.
Methods. It is proposed to solve the problem by means of two-stage interpolation based on the sequential application of radial basis functions and splines.
Results. The proposed two-stage technology is based on a combination of interpolation methods. At the first stage, a transition is made from the initial set of reference points to a new set of points regularly arranged in the chosen coordinate system. The second stage uses Bezier splines. They allow you to customize the surface's nature of the object and display it in real time. Setting the shape of the object's surface is done in an iterative way. It is based on minimizing the deviation of the Bezier surface from the surface obtained by using radial basis functions.
Conclusions. The proposed two-stage technology for representing interface objects as elements of a virtual environment shows good visual capabilities and ensures the operation of the interface in real time. 

man-machine interface, virtual environment, scalar field, interpolation, radial basis function, spline Bezier