these other current patterns directly. This is because the trigonometric patterns have more information about the conductivity in their measured digits or bits than the other patterns would typically contain in the same number of measured digits or bits. The synthesis process uses many more digits than the measuring process and thus the information in the trigonometric patterns can be transferred to many more digits of the synthesized data than would typically be able to be measured by systems using these other patterns of currents directly. This is a subtle point, since the principle of superposition does not hold when finite precision arithmetic is used, but it motivates our use of ACT type systems. For this reason caution should be used in comparing the results from different reconstruction algorithms and systems, recognizing that these synthesized data sets might have misleadingly low errors. A further discussion of this point may be found in Cheng, K-S., S.J. Simske, D. Isaacson, J.C. Newell and D.G. Gisser. Errors due to measuring voltage on current-carrying electrodes in electric current computed tomography. IEEE Trans. Biomed. 37:60-65, 1990. PMID: 2303271 For a more comprehensive bibliography of our work, with further discussions of these points, visit: > Publications > Full Publications.
these other current patterns directly. This is because the trigonometric patterns have more information about the conductivity in their measured digits or bits than the other patterns would typically contain in the same number of measured digits or bits. The synthesis process uses many more digits than the measuring process and thus the information in the trigonometric patterns can be transferred to many more digits of the synthesized data than would typically be able to be measured by systems using these other patterns of currents directly. This is a subtle point, since the principle of superposition does not hold when finite precision arithmetic is used, but it motivates our use of ACT type systems. For this reason caution should be used in comparing the results from different reconstruction algorithms and systems, recognizing that these synthesized data sets might have misleadingly low errors. A further discussion of this point may be found in Cheng, K-S., S.J. Simske, D. Isaacson, J.C. Newell and D.G. Gisser. Errors due to measuring voltage on current-carrying electrodes in electric current computed tomography. IEEE Trans. Biomed. 37:60-65, 1990. PMID: 2303271 For a more comprehensive bibliography of our work, with further discussions of these points, visit: > Publications > Full Publications.