Computed three-dimensional reconstruction of median-eminence capillary modules: image alignment and correlation.

Image alignment is an absolute requirement for three-dimensional (3-D) reconstruction from serial sections, and Fourier correlation is the most powerful way to compute alignments. The rotational and translational components of misalignment can be corrected by an iterative correlation procedure, but for images having significant differences, alignment can fail with a likelihood proportional to the extent of the differences. We found that translational correction was determined much more reliably when low-pass filters were applied to the product transforms from which the correlations were calculated. Rotational corrections based on polar analyses of the auto-correlations of the images instead of on the images directly contributed to more accurate alignments. These methods were used to generate 3-D reconstructions of brain capillary modules from serial-section mosaics of digitized transmission electron micrographs.

Design and use of PET tomographs: the effect of slice spacing.

With modern positron tomographs producing 14, 21, or more transaxial slices, the effects of slice spacing on quantitative reconstruction and three-dimensional displays must be evaluated. This analysis can be approached in terms of the partial volume effect, quantified by the recovery coefficient, or in terms of sampling theory leading to the concept of aliasing. The axial recovery coefficient varies as a function of the position of an object in relation to the slices, with greater variability for larger slice spacings and finer axial resolutions. The aliased image power varies in the same way. The variability in the recovery coefficient and aliasing increase when smaller objects are imaged. Tomographs should be designed with slice spacing approximately half the full-width at half-maximum axial resolution of the tomograph; finer spacing does not appear to confer significant advantages. Thus, quantification and display in positron tomography depend on slice spacing, resolution, and object size.

Three-dimensional display of positron emission tomography of the heart.

A method for producing images of 82Rb myocardial perfusion and 11C carbon monoxide gated blood pool images is described. In the case of 82Rb images, cylindrical projection displaying myocardial activity as viewed from the side is presented to complement the polar projection. Cubic display of the conventional short- and long-axis slices is described that permits interactive selection of any desired slices. A three-dimensional cine display of the left ventricle rotating about its long axis is produced that gives a very realistic presentation of myocardial activity. Very similar processing techniques are applied to gated carbon-11 blood-pool studies to yield beating images of the surface of the blood pool in multiple projections.