R-FUNKSIYALAR YORDAMIDA MURAKKAB SHAKLDAGI JISMLARNI GEOMETRIK MODELLASHTIRISH: NAZARIY ASOSLAR VA AMALIY YONDASHUVLAR

Авторы

  • Mirzayor Inoyatov “Televizion va media texnologiyalar” kafedrasi assistenti, Muhammad al-Xorazmiy nomidagi Toshkent Axborot Texnologiyalari Universiteti Автор

Ключевые слова:

R-funksiyalar, grafik modellashtirish, murakkab shakllar, funksional ifoda, vizualizatsiya, kompyuter grafikasi, HyperFun, ggplot2, geometrik modellashtirish.

Аннотация

Ushbu maqolada R-funksiyalar (Rvachev funksiyalari) asosida murakkab shakldagi jismlarni grafik modellashtirishning nazariy asoslari va amaliy yondashuvlari tahlil qilinadi. R-funksiyalar yordamida murakkab geometrik shakllarning analitik ifodalarini yaratish, ularni kompyuter grafikasi tizimlarida vizualizatsiya qilish va turli dasturiy vositalar orqali modellashtirish imkoniyatlari ko‘rib chiqiladi. Shuningdek, funksional ifodalar asosida shakllarni yaratishning afzalliklari va ularni grafik interfeyslar bilan integratsiyalash masalalari muhokama qilinadi.

Библиографические ссылки

Rvachev, V.L. Theory of R-functions and Some Applications. Naukova Dumka, Kiev, 1982.

Shapiro, V. Semi-analytic geometry with R-functions. Acta Numerica, Vol. 16, 2007, pp. 239–303.

Pasko, A., Savchenko, V., & Kunii, T. Function representation in geometric modeling: concepts, implementation and applications. The Visual Computer, 1995, Vol. 11, No. 8, pp. 429–446.

HyperFun Project http://hyperfun.org

Mitchell, R. Function-based visualization: An introduction. https://richmit.github.io/FuncViz

Belyaev, A. G., Pasko, A. A., & Kunii, T. L. Geometric modeling with functionally based representations. IEEE Computer Graphics and Applications, 1998, Vol. 18, No. 5, pp. 80–90.

Mortenson, M.E. Geometric Modeling. Wiley, 2006.

Pasko, A. A., Igelsias, A., Vilbrandt, C. Function representation in geometric modeling: concepts, implementation and applications. The Visual Computer, 2011.

Farin, G., Hoschek, J., Kim, M.-S. (Eds.) Handbook of Computer Aided Geometric Design. Elsevier, 2002.

Nuraliev, F., Maksumova, U., Otaxanov, N., Kamalov, I., & Xalilov, R. (2016). vAcademia muhitida o‘quv kurslarini loyihalashtirish [Designing training courses in the vAcademia environment]. Tashkent.

Nuraliev, F., Nazirov, S., & To‘rayev, B. (2015). Kompyuter grafikasi va dizayn [Computer graphics and design]. Tashkent: Fan va texnologiya Publ.

Опубликован

2025-05-27

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R-FUNKSIYALAR YORDAMIDA MURAKKAB SHAKLDAGI JISMLARNI GEOMETRIK MODELLASHTIRISH: NAZARIY ASOSLAR VA AMALIY YONDASHUVLAR. (2025). Наука и инновации, 3(18), 17-19. https://in-academy.uz/index.php/SI/article/view/33648