SYSTEM OF POLYPOINT TRANSFORMATIONS OF A GROUP OF OBJECTS IN ONE BASIS

Abstract

The article describes the system of polypoint transformations of several objects within one basis. This system allows you to visually observe changes in the shape of objects during deformation processes by changing the shape of the base. The transformation of the basis is carried out by moving the given points.

Shape transformations are functionally dependent on the base change. Research was conducted with polygonal shapes. The obtained results make it possible to draw conclusions about the expediency of using polypoint transformations for polycoordinate mapping of a group of objects united by one basis.

In the modern world, there are probably no areas where computer graphics are not used, from construction and heavy industry to medicine, education, advertising and animation. One of the areas of human activity that is developing very rapidly is the creation of computer games. New times require the development of new technologies that must meet modern requirements. When creating computer games, it takes a lot of time to create players, which can be many on the same screen, and for some scenes, these objects must be similar to each other, but differ in some details. Drawing each such object is not only difficult, but also boring. In addition, this process takes a lot of time. And that's why it makes sense to somehow automate the creation of such almost similar players in one scene. This possibility is provided by the method of polypoint transformations of geometric objects.

Sometimes these objects should have similar additions. For example, not just a knight, but a knight with a sword, and also with a horse, or not just a person, but people with children, or with animals. In this case, it is necessary to consider the apparatus of polypoint transformations in relation to several objects that are immersed in one space. This article considers exactly this method of polypoint transformations, when several different shapes are contained inside the polypoint region, and the transformations take place according to the same law for all objects.

The goal of the research is to improve the method of generating geometric objects using polypoint transformations of a group of objects, which will make it possible to save resources and reduce the time it takes to reproduce shapes after deformation changes. The article proposes the use of the created computer system for visual tracking of the change process in real time.

Keywords: deformation modeling, polypoint transformations, polycoordinate mappings, transformation basis, transformation object.