MRI TASVIRNI OLISH JARAYONINI OPTIMALLASHTIRISH: K-SPACE SAMPLING VA SIGNAL SIFATINI OSHIRISHNING MATEMATIK YONDASHUVLARI
Keywords:
MRI, k-space, Furye transformasi, undersampling, SNR, compressed sensing, parallel imaging, signal qayta ishlash.Abstract
Ushbu maqolada magnit-rezonans tomografiya (MRI) tasvir sifatini optimallashtirish masalalari k-space sampling va signal qayta ishlashning matematik asoslari nuqtai nazaridan tahlil qilinadi. MRI signalining Furye transformatsiyasiga asoslangan modeli, Nyquist cheklovi, undersampling muammosi hamda zamonaviy optimallashtirish yondashuvlari — compressed sensing va parallel imaging usullari ko‘rib chiqiladi. Shuningdek, signal-to-noise ratio (SNR) modeli tasvir sifatini baholashning asosiy fizik mezoni sifatida yoritiladi. Tadqiqot natijalari MRI skanlash vaqtini qisqartirish va tasvir aniqligini oshirishga yo‘naltirilgan zamonaviy matematik va hisoblash usullarining samaradorligini ko‘rsatadi.
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