Fig. 3.

Comparison of the medial axis and the Reeb graph for a simple rectangle. The medial axis (MA) was extracted using a morphological thinning algorithm. Examples are shown of corresponding circles whose center (c) build the medial axis and touch the boundary of the plant network M in two points. The Reeb graph (RG) was computed using the height function F to extract the contours (green line) at height levels i₁ and i₂ from the rectangular plant network M at intervals of s. The center of the contracted contour is marked with a cross. The source code for all examples is available on https://github.com/abucksch.