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data acquisition in 2D-3D: MRI MRI: Magnetic Resonance Imaging CT and MRI Visible Human MRI: magnetic resonance imaging (NMR: nuclear magnetic resonance) Kernspintomographie strong magnet RF pulse generator receiver coil • change in direction of magnetization induces electric current in external coil Spin • spin: fundamental phyiscal property of elementary particles (electrons, protons, neutrons) with states -1/2 or +1/2 • electron spin: – orbital model – Pauli principle – ions • nuclear spin: nuclear orbital models – e.g. H-atom: • net spin = 1/2 • abundant in biological tissues --> MRI signal generation Spin and magnetic field N N S - S + + - + - - state transition and energy energy N S N N S ΔE=hν resonance frequency (Larmor frequ.) S RF: radio frequency spins at the macroscopic level • without external magnetic field: total spin=0 • with external magnetic field: nr. of antiparallel spins > nr. of parallel spins – → net magnetization of the system • energy injection with radio frequency (RF) pulse – → facilitates state transition – → results in deflection of magnetization direction changing the magnetization + + RF pulse - - MRI signal RF pulse external magnetic field inductive coil + + - - current excitation - relaxation T1 and T2 signals • T1: longitudinal magnetization time constant • T2: transversal magnetization time constant MRI T1 T2 recovering spatial information • application of magnetic field gradients in x,y,z MRI signal • change in direction of magnetization induces electric current in external coil image reconstruction • via back-projection (in Fourier space) CT MRI