Exact calculation of point density in thick sections from spherical point source.
Exact calculation of point density in thick polygons integrated from a spherical point source.
# Requirements
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@@ -10,10 +10,12 @@ Exact calculation of point density in thick sections from spherical point source
# Description
This method tackles the problem of measuring point densities object point objects in non-overlapping spaced out thick sections.
This method arose from the study of cells migrating in living tissue from an injection site and where the cells were later annotated in discrete number of sections with known thickness and relative position.
This method tackles the problem of measuring point densities in thick sections with known planar coordinates.
This method arose from the study of cells migrating in living tissue from an injection site and where the cells were later annotated in discrete number of sections with known thickness and relative distance.
The thick section as well as spaces between section results in missing data when binning point counts as a function of the distance to the injection site. This software approximates a solution to solve this problem by integrating both points and section volume, and calcualtes a point density instead.
The sections being 'thick' as well as the distance between section results in missing data when binning point counts as a function of the distance to the injection site. This software approximates a solution to solve this problem by integrating both points and section volume, and calcualtes a point density instead. In other words. How are the cells distributed relative to the distance to the injection source.
The volume is calcualted exactly py triangulating the region and tetrahedralizing before calculating the overlap volume using the 'overlap' package. The points are integrated as the uniform point mass perpendicular to the polygon plane.
