correct TOF start/end ranges and normalize TOF kernel
Closed this issue · 0 comments
gschramm commented
- right now we calculate relevant TOF bins (sino mode) and start and stop positions (listmode) based on "n * sigma_tof"
- this is not correct if the tofbin width >> sigma tof
- TOF kernel is also not normalized (because it is truncated)
proposed fix
- use "effective sigma" when calculating start and stop ranges -> sqrt(sig_tof^2 + (binwidth^2) / 12)
- calculate missing part of Gaussian integral due to truncation:
truncated_int = erf((num_sig * sig_eff + 0.5 * binwidth) / (sqrt(2) * sig_eff))
or
truncated_int = erf((num_sig * sig_eff) / (sqrt(2) * sig_eff)) = erf(num_sig/sqrt(2))
proposed new tests
- fwd project point in non-tof and tof sinomode + check wether sum over tofbins is non-tof