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Software systems and computational methods

Modeling of bodies with spherical pores by generalized linear interpolation

Damdinova Tatiana Tsybikovna

PhD in Technical Science

Associate Professor, East-Siberian State University of Technology and Management

670000, Russia, respublika Buryatiya, g. Ulan-Ude, ul. Klyuchevskaya, 40 V

Другие публикации этого автора

Ayusheev Tumen Vladimirovich

Doctor of Technical Science

Associate Professor, Department of Engineering and Computer Graphics, East Siberian State University of Technology and Management

670013, Russia, respublika Buryatiya, g. Ulan-Ude, ul. Klyuchevskaya, 40V, of. 731

Balzhinimaeva Svetlana Mikhailovna

Postgraduate Student, Department of Engineering and Computer Graphics, East Siberian State University of Technology and Management

670013, Russia, respublika Buryatiya, g. Ulan-Ude, ul. Klyuchevskaya, 40V, of. 731

Abatnin Aleksandr Andreevich

Student, Department of Engineering and Computer Graphics, East Siberian State University of Technology and Management

670013, Russia, respublika Buryatiya, g. Ulan-Ude, ul. Klyuchevskaya, 40V, of. 731






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Abstract: The article offers a description of parametric objects with spherical pores by generalized linear interpolation. Increasing the volume of high-resolution image data requires the development of algorithms capable of processing large images with reduced computational costs. Numerical data on the geometry of the pores of the object under study are transformed into the geometry of bodies consisting of octagonal portions of cubic shape. Parametric porous objects can model both the shape and the isoparametric interior. Often, this type of parametric bodies is used as initial or boundary conditions in numerical modeling to demonstrate internal modeling. To form a body of complex shape, parametric solid-state elements can be connected together. The continuity between the elements can be determined in the same way as when modeling cubic parametric splines. A lot of research is devoted to the reconstruction of the geometric structure of porous materials based on digital images of objects for a better understanding and representation of physical processes in a porous medium. A detailed understanding of the microstructure can be used to determine physical properties, and then to evaluate and improve the characteristics of simulated objects and processes in them. The article presents the results of the proposed algorithm in the MathCAD environment and software processing of a porous body based on digital images.

Keywords: geometric modeling, porous bodies, linear interpolation, the Koons method, parametric splines, digital image, spherical pores, boolean operations, MathCAD, OpenSCAD
This article is automatically translated. You can find full text of article in Russian here.

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