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Dichotomous indexing of array in recursive construction of voxel-graphic images

  • Computer-Aided Information Control Systems, Process Control Systems
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Abstract

Rapid development of the cluster multiprocessor computer systems allows one to pose to the designers of the computer-graphical systems the problem of organization of graphical information enabling efficient use of the parallel algorithms. Consideration was given to the use of the dichotomous principle of binary construction of a numerical sequence for successive indexing of the elements of a multidimensional array in the problems of recursive decomposition of the multidimensional space. This principle was used to advantage in recursive construction of the voxel graphical information used in the program accelerators of graphical processing based on parallelization of the algorithm and partial sorting of the graphical output flow in terms of the recursion depth.

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References

  1. Terekhina, A.Yu., Methods of Multidimensional Data Scaling and Visualization (Survey), Autom. Remote Control, 1973, vol. 34,part 1, no. 7, pp. 1109–1121.

    Google Scholar 

  2. Satarov, G.A., Comparison of Two Algorithms to Scale Dichotomic Data, in Matematicheskie metody v sotsiologicheskom issledovanii (Mathematical Methods in Sociological Studies), Moscow: Nauka, 1981.

    Google Scholar 

  3. Kaufman, A., Cohen, D., and Yagel, R., Volumetric Graphics, IEEE Comput., 1993, no. 26(7), pp. 51–64.

    Google Scholar 

  4. Drebin, R.A., Carpenter, L., and Hanrahan, P., Volume Rendering, Comput. Graphics, 1988, no. 22(4), pp. 65–74.

    Google Scholar 

  5. Pasko, O., Fryazinov, T., Vilbrandt, P.-A., et al., Procedural Function-based Modelling of Volumetric Microstructures, Graphical Models, 2011, vol. 73, no. 5, pp. 165–181.

    Article  Google Scholar 

  6. Yagel’, R., Real-time Volume Rendering, Otkrytye Sist., 1996, no. 5, http://www.osp.ru/os/1996/05/178968/.

    Google Scholar 

  7. Tolok, A.V., Using Voxel Models in Automation of Mathematical Modeling, Autom. Remote Control, 2009, vol. 70, no. 6, pp. 1067–1079.

    Article  MATH  MathSciNet  Google Scholar 

  8. Malashonok, G.I. and Valeev, Yu.D., Organization of Parallel Computations in Recursive Symbolic-Numerical Algorithms, http://omega.sp.susu.ac.ru/books/conference/PaVT2008/papers/fullpapers/016.pdf.

  9. Gergel’, V.P. and Strongin, R.G., Osnovy parallel’nykh vychislenii dlya mnogoprotsessornykh vychislitel’nykh sistem (Fundamentals of Parallel Computations for the Multiprocessor Computer Systems), textbook, Nizhni Novgorod: Nizhegorod. Gos. Univ., 2003, 2nd ed.

    Google Scholar 

  10. Rvachev, V.L., Teoriya R-funktsii i nekotorye ee prilozheniya (Theory of R-Functions and Some Its Applications), Kiev: Naukova Dumka, 1982.

    Google Scholar 

  11. Maksimenko-Sheiko, K.V., Tolok, A.V., and Sheiko, T.I., R-Functions in Analytical Design Using the “RANOK” System, Vestn. Mosk. Gos. Tekhnol. Univ. “Stankin,” 2010, no. 4(12), pp. 139–151.

    Google Scholar 

  12. Grigor’ev, S.N. and Martinov, G.M., Outlooks for Development of the Distributed Heterogeneous Systems of Numerical Program Control of Decentralized Manufacture, Avtomatiz. Promyshl., 2010, no. 5, pp. 4–8.

    Google Scholar 

  13. Grigor’ev, C.N., Andreev, A.G., and Martinov, G.M., Outlooks for Development of the Cross-platform Computer Systems of Numerical Control of the Hich-tech Equipment, Avtomatiz. Promyshl., 2011, no. 5, pp. 3–8.

    Google Scholar 

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Original Russian Text © S.N. Grigor’ev, A.V. Tolok, 2014, published in Avtomatika i Telemekhanika, 2014, No. 1, pp. 145–157.

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Grigor’ev, S.N., Tolok, A.V. Dichotomous indexing of array in recursive construction of voxel-graphic images. Autom Remote Control 75, 119–128 (2014). https://doi.org/10.1134/S0005117914010093

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  • DOI: https://doi.org/10.1134/S0005117914010093

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