Читать статью 'Моделирование тел со сферическими порами методом обобщенной линейной интерполяции' в журнале Программные системы и вычислительные методы на сайте nbpublish.com
Перевести статью
Please select your language to translate the article


You can just close the window to don't translate
Library
Your profile

Back to contents

Software systems and computational methods
Reference:

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

dtatyanac@mail.ru
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

atv62@bk.ru
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

ikg.esstu@bk.ru
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

abatnin@mail.ru

DOI:

10.7256/2454-0714.2022.2.38262

EDN:

ZTFTKU

Review date:

13-06-2022


Publish date:

05-07-2022


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.


References
1.
A.N. Levandovsky, B.E. Melnikov, A.A. Shamkin. Modeling of a porous material by the finite element method. Construction of buildings and structures under construction, 2017, No. 2 (53). pp. 61-77.
2.
Zolotukhin I.V., Kalinin Yu.E., Loginova V.I. solid-state fractal structures. // AEE. 2005. No. 9. URL: https://cyberleninka.ru/article/n/tverdotelnye-fraktalnye-struktury-1
3.
Marie Wulff. Pore size determination by thermoporometry using acetonitrile. 2004. Рр. 291–294. URL: https://doi.org/10.1016/j.tca.2004.03.006.
4.
Zohaib Atiq Khan, Ali Elkamel, Jeff T. Gostick. Efficient extraction of pore networks from massive tomograms via geometric domain decomposition. 2020. 14 р. URL: https://doi.org/10.1016/j.advwatres.2020.103734.
5.
Ayusheev T.V., Damdinova T.Ts., Balzhinimaeva S.M. Modeling of porous bodies based on digital image processing. In the collection: Information systems and technologies in education, science and business. Materials of the All-Russian scientific and practical conference with the participation of the RIAC. Ulan-Ude, 2021. S. 5-10.
6.
R. Ďurikovič, S. Czanner. Modelling with Three Types of Coons Bodies. International Journal of Modelling and Simulation. Volume 24, 2004. P. 97-101.
7.
N.N. Golovanov. Geometric modeling.-M .: Publishing House of Phys.-Math. Literature, 2002.-472 p.
8.
Computational geometry. Application in design and production: Per. from English. – M.: Mir, 1982. – 304 p.
9.
Ulas Yaman, Nabeel Butt, Elisha Sacks, and Christoph Hoffmann. 2016. Slice Coherence in a Query-based Architecture for 3D Heterogeneous Printing. Comput. Aided Des. 75, C (June 2016), 27–38. https://doi.org/10.1016/j.cad.2016.02.005
10.
L.M. Pant. 2016. Stochastic Characterization and Reconstruction of Porous Media. https: //books.google.com/books?id=VcqGAQAACAAJ
11.
Xiaolei Zhu, Shigang Ai, Xiaofeng Lu, Ke Cheng, Xiang Ling, Lingxue Zhu, and Bin Liu. 2014. Collapse models of aluminum foam sandwiches under static three-point bending based on 3D geometrical reconstruction. Computational Materials Science 85, 0 (2014), 38–45.
12.
Lin Lu, Andrei Sharf, Haisen Zhao, Yuan Wei, Qingnan Fan, Xuelin Chen, Yann Savoye, Changhe Tu, Daniel Cohen-Or, and Baoquan Chen. 2014. Build-to-last: Strength to Weight 3D Printed Objects. ACM Transactions on Graphics 33, 4, Article 97 (July 2014), 10 pages. https://doi.org/10.1145/2601097.2601168
13.
Lukas Mosser, Olivier Dubrule, and Martin J. Blunt. 2017. Reconstruction of threedimensional porous media using generative adversarial neural networks. Physical Review E 96, 4 (oct 2017). https://doi.org/10.1103/physreve.96.043309
14.
T.Ts.Damdinova, V.D.Radnaeva, L.D.Zhimbueva, Using image processing methods to study the processing of materials // Scientific article in the collection of the X International Scientific and Technical Conference IEEE "Dynamics of systems, mechanisms and machines" No. 1 2016, volume 4, pp. 137-141.
15.
Tatyana Damdinova, Vera Radnaeva, Lubov Zhimbueva Using of image processing to study impregnation process in materials. Proceedings X International IEEE Scientific and Technical conference “Dynamics of Systems, Mechanisms and Machines” Year: 2016/ Pages: 1-3, DOI:10.1109/Dynamics.2016.7818996 IEEE Conference Publications
16.
Henning Biermann, Daniel Kristjansson, and Denis Zorin. 2001. Approximate Boolean operations on free-form solids. In Proceedings of the 28th annual conference on Computer graphics and interactive techniques (SIGGRAPH '01). Association for Computing Machinery, New York, NY, USA, 185–194. https://doi.org/10.1145/383259.383280
17.
Bashkatov, A.V. M. Modeling in OpenSCAD: by examples: tutorial. M. Bashkatov.-Moscow: INFRA-M, 2020.-333 p., [7] p. col. ill.-ISBN 978-5-16-013011-8.