Hatching lines are often used in line illustrations to convey tone and texture of a surface. In this paper we present methods to generate hatching lines from polygonal meshes and render them in high quality either at interactive rates for on-screen display or for reproduction in print. Our approach is based on local curvature information that is integrated to form streamlines on the surface of ...

In this paper, we study a special class of generalized Douglas-Weyl metrics whose Douglas curvature is constant along any Finslerian geodesic. We prove that for every Landsberg metric in this class of Finsler metrics, ? = 0 if and only if H = 0. Then we show that every Finsler metric of non-zero isotropic flag curvature in this class of metrics is a Riemannian if and only if ? = 0.

A manifold with a smooth action of a Lie group G is called G-manifold. In this paper we consider a complete Riemannian manifold M with the action of a closed and connected Lie subgroup G of the isometries. The dimension of the orbit space is called the cohomogeneity of the action. Manifolds having actions of cohomogeneity zero are called homogeneous. A classic theorem about Riemannian manifolds...

A monolithic diamond Raman laser is reported. It utilizes a 13-mm radius of curvature lens etched onto the diamond surface and dielectric mirror coatings to form a stable resonator. The performance is compared to that of a monolithic diamond Raman laser operating in a plane-plane cavity. On pumping with a compact Q-switched laser at 532 nm (16 μJ pulse energy; 1.5 ns pulse duration; 10 kHz repe...

This paper presents a principal-agent model in which the agent has imprecise beliefs. We model this situation formally by assuming the agent’s preferences are incomplete as in Bewley (1986) [2]. In this setting, incentives must be robust to Knightian uncertainty. We study the implications of robustness for the form of the resulting optimal contracts. We give conditions under which there is a un...

This letter investigates the stability properties of soft inverted pendulum with affine curvature - a template model for nonlinear control underactuated robots. We look at how changes in physical parameters affect and equilibrium. give conditions under which zero dynamics corresponding to collocated choice output is (locally or globally) stable unstable. leverage these results design switching ...

equality of -curvatures of the berwald and cartan connections leads to a new class of finsler metrics, so-called bc-generalized landsberg metrics. here, we prove that every bc-generalized landsberg metric of scalar flag curvature with dimension greater than two is of constant flag curvature.

Carbon nanotubes have an important role in reinforcing nanocomposits. Many experimental observations have shown that in the most nanostructures such as nanocomposites, carbon nanotubes (CNTs) are often characterized by a certain degree of waviness along their axial direction. In the present paper, the effects of initial curvature, influence of surrounding medium that is modeled as Winkler elast...

The notion that cognitive processes ”leak” into motor output of decisions inspired much recent process-tracing research. In mouse-tracking, an increasingly popular decision-making paradigm, difficult choices lead to increased curvature of the mouse trajectories towards the unchosen option. Here we explore whether traces of a decision process can be found in its motor output in a more naturalist...