The domain method was devised as a tool to characterize capillary distribution in muscle tissue. A domain is defined as "area belonging to" a capillary, but that needs a closer definition: lines are drawn mid between adjacent capillaries and their intersection lays down the domain. In the figure, the yellow area bordered by the black lines is the domain of the red capillary.
The domain method is a form of centroidal Voronoi tesselation, which is extensively handled in the mathematical literature.
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