Changes in the Drosophila notum between 17.5 h (a) and 22 h (b) APF. The microscopy images visualize two aspects of the tissue organization. The polygonal mesh of cell outlines is visible due to expression of green fluorescent protein (GFP) attached to a cell adhesion molecule (E-Cadherin-GFP), and the array of mostly isolated bristle precursor cells is visible due to GFP expression attached to a signalling protein (Neu:GFP) (scale bars: 20 μm).
Compares predicted and experimental preference rates. The horizontal axis is the signed difference in the estimated true attributes of two stimuli (Δμ) in a paired comparison. The vertical axis is the probability that the first stimulus will be chosen as more ordered than the second. The solid curve shows the predictions of the ML logistic with lapsing model. There are 380 = 2 × 190 plotted points as the data for each trial using set A is plotted twice.
At bottom is a visual representation of the p-scale of order, with the jnd magnitude indicated. Points plus error bars show the estimated p-scale values of set A. A selection of the corresponding point patterns are shown above numbered by their estimated p-scale ranks (§2.2.2). The values span a range of 9.86 jnds. Error bars indicate ±1 s.d. of the uncertainty of the estimates. (Online version in colour.)
Schematic of the DSE measure. From a point pattern (a), a Delaunay triangulation (b) is constructed. From the triangulation, side length histograms (c) are determined for shortest (i), intermediate (ii) and longest sides (iii). Smoothed histograms are created by kernel-density estimation and used for entropy estimation. (Online version in colour.)
Schematic of the DTE measure. At left are two example patterns; moving right, their Delaunay triangulations; next, the triangle size histogram (smoothed) and finally the triangle shape histogram (raw data and smoothed). The more disordered lower pattern has wider histograms than the more ordered upper pattern. (Online version in colour.)
Middle row: the a-scale of order. Upper row: point patterns of diverse origin: precursor bristle cells of Drosophila (a: early stage, b: later stage), S-cones on the macaque retina (c) (, reprinted with permission from Taylor & Francis Ltd, (http://www.tandf.co.uk/journals)), eye-shaped spots on the peacock train (d) (image kindly provided by Meena Uba) and planar-packed metallic spheres of the same radius (e). Lower row: patterns from set A (numbers show their estimated p-scale ranks). (Online version in colour.)
Data points and linear fits for order versus time for the four movies for bright cells (a), all cells (b) and the mean of random selections of cells equinumerous with the bright cells in each image (c).