Nuclide Imaging: Planar Scintigraphy, SPECT, PET - Polytechnic ...

Imaging EquationNNN+−c( s )( s )( s )0⎪⎧ R⎪⎫= N0exp⎨− ∫ µ ( x(s'),y(s'));E)ds'⎬⎪⎩ s⎪0⎭s0⎪⎧ ⎪⎫= N0exp⎨− ∫ µ ( x(s'),y(s'));E)ds'⎬⎪⎩ −R⎪ ⎭⎪⎧ R⎪⎫= N0exp⎨− ∫ µ ( x(s'),y(s'));E)ds'⎬⎪⎩ s⎪0⎭s0⎪⎧ ⎪⎫• exp⎨− ∫ µ ( x(s'),y(s'));E)ds'⎬⎪⎩ −R⎪ ⎭R⎧ ⎫= N0exp⎨− ∫ µ ( x(s'),y(s'));E)ds'⎬⎩ −R⎭00RRRR⎪⎧⎪⎫⎪⎧⎪⎫ϕ(l,θ ) = K∫A(x(s),y(s))exp⎨−∫µ ( x(s'),y(s'))ds'⎬ds= K∫A(x(s),y(s))ds • exp⎨−∫ µ ( x(s'),y(s'))ds'⎬−R⎪⎩ −R⎪⎭ −R⎪⎩ −R⎪ ⎭A(x,y)and µ(x,y) can be separated!EL5823 Nuclear Imaging Yao Wang, Polytechnic U., Brooklyn 49