Kosnikov Yuriy Nikolaevich, Doctor of engineering sciences, professor, head of sub-department of data processing systems, Penza State University (40 Krasnaya street, Penza, Russia), email@example.com
Khoang Tkhay Kho, Postgraduate student, Penza State University (40 Krasnaya street, Penza, Russia), firstname.lastname@example.org
Background. The research object is reconstruction of forms of interface envi-ronment objects by multiple characteristic points. The research subject is methods of geometric modeling of nonanalytical surfaces using mixing functions. The aim of the research is to introduce scientific principles of geometric modeling and imaging of objects of the “human-computer” interface on the basis of mixing functions.
Materials and methods. The article suggests two-stage modeling of a geometric form of spatial objects using mixing functions of radial and orthogonal bases.
Results. The authors have suggested a method of geometric modeling of spatial objects including the following stages: creation of an object’s surface model by an initial set of control points using radial basis functions, substitution of initial control points by new ones – equally distributed on the surface, building of a surface model using mixing functions of the orthogonal basis, switching to finite differences. Ap-plication of the described principles allows to build spatial objects of arbitraty shape for virual environment interfaces in various data control and processing systems.
Conclusions. Ordered distribution of control points simplifies the algorithm of transition to the polygonal object presentation. Application of mixing functions of the orthogonal basis allows to use a fast algorithm for calculation of vertexes and normals of a polygonal model on the basis of finite differences. The described methods provide high performance of calculations in combination with high graphic capacities and storage efficiency of graphic systems.
human-computer interface, virtual environment, control point, interpolation, mixing function, radial basis, orthogonal basis, finite difference.
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