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. 2016 Nov 11;6:36871. doi: 10.1038/srep36871

Figure 2. Data acquisition process and schematic representation of Gnomonic projections.

Figure 2

(a) A stack of 55 images is collected (or 110 if the data from the two pump wavelengths is concatenated), with each image containing a different pump-probe time-delay (−1.5 to 4 ps). Inset shows the dynamics of four pixels in the composite stack. (b) Melanin dynamics (i.e., transient responses) measured from hundreds of thousands spatial pixels are process with a Beta Process Factor Analysis (BPFA) algorithm followed by Principal Component Analysis (PCA) to compute the Principal Components (PCs). (c) Projection of the data onto 3 PCs can be described in spherical coordinates. After normalization, points lay in the unit sphere which are then projected onto a tangent plane at a given point γ on the sphere, such that great circles (shortest paths) on a sphere correspond to straight lines in the new tangent plane with directions Inline graphic and Inline graphic.