Shape-to-graph mapping method for efficient characterization and classification of complex geometries in biological images
Fig 6
A. An example of paths along the graph edges from the root path (magenta) to the tips of object protrusions. The inscribed circles (green) provide a measure for the width profile. The parts of the paths (blue) outside the circles provide a measure for the normalized boundary profile. B. An illustration of path (blue) branching from a root (green) to the boundary, so that each boundary point has an associated root node and a shortest path to this node along the graph edges. C. The resulting width profile showing the inscribed circle radii for every node on the root path. D. The resulting boundary profile before subtracting the radii of the corresponding root nodes (red) and after subtracting (blue). The colored points at the local maxima of the boundary profile correspond to the protrusion tips in A.