Reliable estimation of membrane curvature for cryo-electron tomography
Fig 3
Neighborhood parameters and voting geometry.
(A) Schematic illustrating the rh and gmax parameters. gmax is one quarter of the circle perimeter with radius equal to rh. gmax defines the maximum geodesic distance from a surface triangle center to the centers of its neighboring triangles, approximated by the shortest path along the edges of the surface graph. (B) Collection of normal votes in all proposed algorithms based on [33]. The rectangle denotes the plane containing the circular arc (dashed line) between the neighboring triangle centers v and ci, the normal vector at ci and the normal vote
at v. (C) Collection of curvature votes for the NVV, RVV and AVV algorithms based on [33]. The rectangle denotes the arc plane containing the triangle center v, its estimated normal
, its tangent
towards neighboring triangle center vi and the projection
of the estimated normal
at vi. (D) Collection of curvature votes in the SSVV algorithm based on [40]. The rectangle denotes the plane containing the tangent vector
at v of length = rh, ending with the point vt, and the normal vector
at v. The line l, crossing vt and parallel to
, intersects the surface (dashed) at point c.