Figure 4 - Estimation of volume and surface area of a dendritic spine using Rayburst.


From the following article

Rayburst sampling, an algorithm for automated three-dimensional shape analysis from laser scanning microscopy images

Alfredo Rodriguez, Douglas B Ehlenberger, Patrick R Hof & Susan L Wearne

Nature Protocols 1, 2152 - 2161 (2006) Published online: 7 December 2006

doi:10.1038/nprot.2006.313

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(a) Rayburst run from the center of mass inside each spine. (b) 3D rendering of the triangular surface mesh resulting from a low-N Rayburst run from the center of mass of a spine (O). For illustrative purposes, one of the resulting pyramids used to compute volume and surface area has been highlighted in blue. The points {A,B,C} are the vertices of the pyramid base whereas the vector Nright arrow is the normal as computed by the cross-product of the vectors (Bright arrow - Aright arrow) and (Cright arrow - Aright arrow). The sum of the volumes and surface areas of all pyramids gives the total volume and surface area achieved by this Rayburst.

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