A natural metric in 2-manifold surfaces is to use geodesic distance. If a 2manifold surface is represented by a triangle mesh T , the geodesic metric on T can be computed exactly using computational geometry methods. Previous work for establishing the geodesic metric on T only supports using half-edge data structures; i.e., each edge e in T is split into two halves (he1, he2) and each half-edge...

The assumption that mortality risk increases with dispersal distance has rarely been tested. We compared patterns of natal dispersal in the American marten (Martes americana) between a large regenerating forest landscape and an uncut landscape that was dominated by more mature forest to test whether mortality risk increased with dispersal distance, and whether variation in mortality risk influe...

Forest roads are the most important elements of forestry projects, the management, supervision, care, and only access way to the forest for mechanized harvesting and using other services of forests. The aim of this study was to compare the current annual increment of basal area in different distances from the road in northern forests of Iran. For this purpose, 50 plots were established in 5 dis...

1. If the geodesic ow of a metric G on the torus T 2 is quadrati-cally integrable then the torus T 2 isometrically covers a torus with a Liouville metric on it. 2. The set of quadratically integrable geodesic ows on the Klein bottle is described. x1. Introduction Let M 2 be a smooth close surface with a Riemannian metric G on it. The metric allows to canonically identify the tangent and the co-...

We examined the fire history of 11 forest isolates surrounded by lava flows (kipukas) in central Oregon to determine historical differences in fire regimes between kipukas and the surrounding forest, and the role of spatial and environmental variables in fire occurrence. Tree-ring analysis and statistical comparisons show that historical agency records underestimate the number of fires based on...

Selective logging is the most prevalent land-use change in the tropics. Despite the resulting degradation of forest structure, selectively logged forests still harbor a substantial amount of biodiversity leading to suggestions that their protection is the next best alternative to conserving primary, old-growth forests. Restoring carbon stocks under Reducing Emissions from Deforestation and Fore...

In this paper, we propose a parallel and scalable approach for geodesic distance computation on triangle meshes. Our key observation is that the recovery of with heat method [1] can be reformulated as optimization its gradients subject to integrability, which solved using an efficient first-order requires no linear system solving converges quickly. Afterward, efficiently recovered by integratio...

the effect of forest roads on the extent and type of fire damage occurred in forests and rangelands of the neka county in mazandaran province was investigated. for this purpose, all fire spots, stand number, percentage and type of injury and damage to tree species, and average diameter at breast height (dbh) were noted with 100% inventory; area and geographic location of access roads were deter...

We describe an elasting matching procedure between plane curves based on computing a minimal deformation cost between the curves. The design of the deformation cost is based on a geodesic distance deened on an innnite dimensional group acting on the curves. The geodesic paths also provide an optimal deformation process, which allows to interpolate between any plane curves.

Let M be a simply connected complete Kähler manifold and N a closed complete totally geodesic complex submanifold of M such that every minimal geodesic in N is minimal in M . Let Uν be the unit normal bundle of N in M . We prove that if a distance function ρ is differentiable at v ∈ Uν , then ρ is also differentiable at −v.