If there is a single world point contributing intensity to all 3 pixels, the corresponding ellipses intersect, as is the case here.
In short, the automated anatomical interpretation method provides (i) the closest approximation of the measured ion image using atlas structures and (ii) an overview of the contributing anatomical structures, specifying name, reference location, and contributing intensity or weight in the interpretation.
The possible locations in Cartesian space that could have contributed intensity to the streak image pixels p, q, r are the ellipses p′, q′, r′ (ellipsoids in 3D).
In the absence of noise, the intersection of three ellipses uniquely determines the location of the hidden surface patch that contributed intensity to the three camera pixels.
Since all crystallites are able to contribute intensity almost everywhere, they are not required to be orientated to the Bragg condition for intensity to reach the detector.
Each crystallite plane will contribute intensity to half of the ring, much of which is weak, although spots will appear when the Debye Scherrer ring intersects a significant tail (Fig. 7 ▶).
It is possible that the result is anomalous as the subsidiary peaks shown in the 002 map would contribute intensity from different regions in q-space to the point of measurement.
What this means is that a crystallite will contribute intensity to the Debye Scherrer ring over ± π/2 that peaks at X = 0 if Ω < θ and at ±X and X = 0 if Ω > θ.
Moreover, shot-to-shot differences in pulse intensity and energy spectrum that arise from the self-amplified stimulated emission (SASE) process (Kondratenko and Saldin, 1979; Bonifacio et al., 1984), along with differences in illuminated crystal volume, mosaicity, and unit-cell dimensions, contribute to intensity variation of the equivalent reflections observed on different images.
Both the increase on the size and number of the clusters result in the increase of the absorbance/emission intensity, but the size increase eventually overwhelms the number increase in the particle growth stage while the number increase contributes more intensity to the photon absorbance/emission compared with the size increase in the nucleation stage.
Underpinning this frame is a tacit consideration of the R / O / G of the individual; in particular, their beliefs about mathematics and pedagogy contribute to intensity of the links, represented by the arrows in Fig. 1.
