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Jild 3 Son 11 (2026)
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Maqolalar

FAZOVIY GEOMETRIK OBYEKTLARNI PARAMETRIK MODELLASHTIRISH VA PROYEKSIYALARNI HOSIL QILISH USULLARINING QIYOSIY TAHLILI

DOI 10.63294/isja/vol3iss11/300 Google Scholar Google Scholar Betlar 27-38

Nashr qilingan 2026-09-29

Mualliflar
Haqberdiyev B.R a , Abdukarimova G.D b
Tashkilotlar
a p.f.f.d., dots Alfraganus universiteti, Umumkasbiy fanlar kafedrasi mudiri
b TIQXMMI Milliy tadqiqot universiteti tayanch doktoranti
Alfraganus — Vol. 3, Issue 11 (2026)
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Annotatsiya

Grafik topshiriqlarni avtomatik generatsiya qilish tizimini loyihalash uchun fazoviy obyektni qanday tasvirlash va uning ortogonal proyeksiyalarini qay tarzda hosil qilish masalasi hal etilishi lozim. Maqolada qattiq jismlarni tasvirlashning asosiy usullari — konstruktiv fazoviy geometriya (CSG), chegaraviy tasvirlash (B-rep), protsedurali-grammatik va poligonal to'r modellari — beshta mezon bo'yicha qiyosiy tahlil qilingan. Tahlil ko'rsatdiki, topshiriq generatsiyasi masalasi uchun CSG va B-rep tasvirlarining gibrid qo'llanilishi optimal hisoblanadi: CSG parametrik boshqaruv va regulyarlashtirilgan Bul amallarini, B-rep esa proyeksiyalarni qurish uchun zarur topologik axborotni ta'minlaydi. Proyeksiya hosil qilishning markaziy hisoblash masalasi ko'rinmas chiziqlarni aniqlash bo'lib, klassik algoritmlarning murakkabligi eng yomon holatda O(n2) tartibda shakllanadi. Jism va uning proyeksiyalari o'rtasidagi muvofiqlikni tekshirishda Eyler–Puankare munosabati zaruriy shart sifatida qo'llanilishi, biroq u yetarli shart bo'la olmasligi asoslangan. Shuningdek, uch ortogonal proyeksiyadan jismni tiklash masalasining bir qiymatli yechilmasligi generatsiya qilinadigan topshiriqlar uchun to'g'ridan-to'g'ri metodologik oqibatga ega ekani ko'rsatilgan. Natijalar generativ modul arxitekturasi uchun asoslangan tanlov qilish imkonini beradi.

Kalit so'zlar

parametrik modellashtirish, konstruktiv fazoviy geometriya, chegaraviy tasvirlash, ortogonal proyeksiya, ko'rinmas chiziqlarni yo'qotish, geometrik cheklovlar tizimi, Eyler–Puankare formulasi, jismni tiklash, CAD

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