Vector data differs in the rasterized height field by data type. It is difficult to render dynamic vectors on height field because their shapes and locations may change at any time. This letter proposes a novel method: View-dependent Projective Atlases (VdPAs). As an intermediate data source, VdPAs act as rendering targets which enable height field and vectors to be rasterized at the same resol...

Abstract We investigate critical points of a Landau–de Gennes (LdG) free energy in three-dimensional (3D) cuboids, that model nematic equilibria. develop hybrid saddle dynamics-based algorithm to efficiently compute solution landscapes these 3D systems. Our main results concern (a) the construction LdG from database two-dimensional (2D) and (b) studies effects cross-section size cuboid height o...

This paper presents a mutual information (MI) based algorithm for the estimation of full 6-degree-of-freedom (DOF) rigid body transformation between two overlapping point clouds. We first divide the scene into a 3D voxel grid and define simple to compute features for each voxel in the scan. The two scans that need to be aligned are considered as a collection of these features and the MI between...

Satellite altimeters have mapped the marine geoid over virtually all of the world’s oceans. These geoid height measurements may be used to compute free air gravity anomalies in areas where shipboard measurements are scarce. Two-dimensional (2-D) transformations of geoid height to gravity are limited by currently availabie satellite track spacing and usually sacrifice short wavelength resolution...

An ordered tree with height h is b-balanced if all its leaves have a level ` with h − b ≤ ` ≤ h, where at least one leaf has a level equal to h− b. For large n, we shall compute asymptotic equivalents to the number of all b-balanced ordered trees with n nodes and of all such trees with height h. Furthermore, assuming that all b-balanced ordered trees with n nodes are equally likely, we shall de...

We introduce an algorithm that can be used to compute the canonical height of a point on an elliptic curve over the rationals in quasi-linear time. As in most previous algorithms, we decompose the difference between the canonical and the naive height into an archimedean and a non-archimedean term. Our main contribution is an algorithm for the computation of the non-archimedean term that require...

background: iran, a low- to middle-income country, has experienced considerable socioeconomic changes in 20 th century, which their impacts on the adult heights has not been assessed deeply by now. this article aims to quantify the temporal varia­tions of height (with respect to shrinkage of height due to aging) and its deterministic factors in iranian population born be­tween 1940 and 1984. me...