Table S1. Structure of compounds with different skeletons in the data set.

Skeleton lines of terrain, i.e. ridge and valley lines are essential features on topographic maps. A skeleton line is the one with minimum slope among the slope lines. Slope lines are the lines of the steepest slope. Skeleton lines are used for a wide range of aims, e.g. emphasizing land forms, generation of high fidelity digital terrain models, terrain generalization, determining characteristi...

This paper presents the results of a study on the use of morphological set operations to represent and encode a discrete binary image by parts of its skeleton, a thinned version of the image containing complete information about its shape and size. Using morphological erosions and openings, a finite image can be uniquely decomposed into a finite number of skeleton subsets and then the image can...

A method is proposed in this paper to automatically generate the animation skeleton of a model such that the model can be manipulated according to the skeleton. With our method, users can construct the skeleton in a short time, and bring a static model both dynamic and alive. The primary steps of our method are finding skeleton joints, connecting the joints to form an animation skeleton, and bi...

Skeletons are powerful geometric abstractions that provide useful representations for a number of geometric operations. The straight skeleton has a lower combinatorial complexity compared with the medial axis. Moreover, while the medial axis of a polyhedron is composed of quadric surfaces the straight skeleton just consist of planar faces. Although there exist several methods to compute the str...

Skeleton has been found a very useful feature in human motion analysis and gait recognition. However, it is usually hard to obtain the right feature skeleton because of shape variance of human silhouette and noise. Due to those reasons, unexpected skeleton branches will exist together with the main components of human body. To delete the unexpected branches, a silhouette reconstruction method i...

Let u be the equilibrium potential of a compact set K in R. An electrostatic skeleton of K is a positive measure μ such that the closed support S of μ has connected complement and no interior, and the Newtonian (or logarithmic, when n = 2) potential of μ is equal to u near infinity. We prove the existence of an electrostatic skeleton for every convex polytope. Our proof raises several interesti...

High-spin alignment for dicationic, tricationic, tetracationic and hexacationic species of a meta-para-linked oligoarylamine was accomplished by incorporating cyclophane skeletons into the oligomer backbone.