Fig. 1.

Decomposition of leaf margin local curvature. (A) A 3D measurement of an Arabidopsis KAN>>miR319 leaf. Both surface topography (axes and colour bar in mm) and the edge curve (black line) are obtained. (B) At each point, s, along the margins we obtain the local tangent vector to the margins curve, $\widehat{t}$ , and the local normal to the surface, $\widehat{N}$ . The local curvature vector, $\overrightarrow{k}$ , is decomposed into its normal component${\kappa }_n$ and geodesic component ${\kappa }_g$ . The local tangent plane is depicted as a shaded square. (This figure is available in colour at JXB online.)