TO‘G‘RI CHIZIQNING PROYEKSION UZUNLIGINI ANIQLASHDA YANGI ANALITIK METOD
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Аннотация:
Mazkur ishda fazoda berilgan to‘g‘ri chiziqning ma’lum yo‘nalish, o‘q yoki tekislikka nisbatan proyeksion uzunligini aniqlashning yangi analitik metodi taklif etiladi. Klassik yondashuvlarda proyeksiya uzunligi asosan skalyar ko‘paytma va burchak kosinusiga asoslangan holda ifodalanadi. Ushbu ishda esa proyeksion uzunlik vektorlarning ortogonal ajratilishi, yo‘nalish vektori va normal vektorlar o‘rtasidagi bog‘lanish hamda aralash ko‘paytma elementlari yordamida invariant shaklda ifodalanadi. Natijada to‘g‘ri chiziqning proyeksion uzunligini koordinata tizimidan mustaqil, barqaror va hisoblash nuqtai nazaridan qulay analitik formula orqali aniqlashga erishiladi. Taklif etilgan metod fazoviy geometriya, kompyuter grafikasi, signal va tasvirlarni qayta ishlash hamda uch o‘lchamli modellashtirish sohalarida qo‘llanishi mumkin.
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