Projection angles, selection

For example, if the sweep widths of two dimensions differ 11-fold (as they do for C and C ), then a = 84°. A set of three projection angles with values of 60°, 84°, and 87° would thus be a good choice, whereas a seemingly more symmetric selection with angles of 22.5°, 45°, and 67.5° would lead to two basically identical projections [40]. Expressions similar to (9) can be derived for combinations of three or more dimensions. 

Multi-shce linear interpolation is characterized by a projection-wise linear interpolation between two rays on either side of the image plane to estabhsh a CT data set at the desired image z-position. The interpolation can be performed between the same detector slice at different projection angles (in different rotations) or different detector slices at the same projection angle. In general, scanners relying on this technique provide selected dis-... 

Here the summation is over molecules k in the same smectic layer which are neighbours of i and 0 is the angle between the intermolecular vector (q—r ) projected onto the plane normal to the director and a reference axis. The weighting function w(rjk) is introduced to aid in the selection of the nearest neighbours used in the calculation of PsCq). For example w(rjk) might be unity for separations less than say 1.4 times the molecular width and zero for separations greater than 1.8 times the width with some interpolation between these two. The phase structure is then characterised via the bond orientational correlation function... 

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