Adaptive Spline Surface Fitting With Arbitrary Topological Control Mesh.

Reconstructing a spline surface from a given arbitrary topological triangle mesh is a fundamental and challenging problem in computer-aided design and engineering. This article introduces a novel surface fitting method utilizing G-NURBS capable of handling control meshes with arbitrary topologies. This method employs adaptive control point adjustment, guided by the geometric attributes of the input model, ensuring precise representation of sharp features such as edges and corners.

Patching Non-Uniform Extraordinary Points.

Smooth surfaces from an arbitrary topological control grid have been widely studied, which are mostly generalized from splines with uniform knot intervals. These methods fail to work well on extraordinary points (EPs) whose edges have varying knot intervals. This article presents a patching solution for arbitrary topological 2-manifold control grid with non-uniform knots that defines one bi-cubic Bézier patch per control grid face except those faces with EPs.

Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy.

This paper studies the properties of the derivatives of differential entropy H(Xt) in Costa's entropy power inequality. For real-valued random variables, Cheng and Geng conjectured that for m≥1, (-1)m+1(dm/dtm)H(Xt)≥0, while McKean conjectured a stronger statement, whereby (-1)m+1(dm/dtm)H(Xt)≥(-1)m+1(dm/dtm)H(XGt). Here, we study the higher dimensional analogues of these conjectures.

A framework from point clouds to workpieces.

Combining computer-aided design and computer numerical control (CNC) with global technical connections have become interesting topics in the manufacturing industry. A framework was implemented that includes point clouds to workpieces and consists of a mesh generation from geometric data, optimal surface segmentation for CNC, and tool path planning with a certified scallop height. The latest methods were introduced into the mesh generation with implicit geometric regularization and total generalized variation.

The disaster resilience trajectory of the first batch front-line nurses at fighting the Novel Coronavirus Disease 2019 in Wuhan: A qualitative study.

Aim: It is widely accepted that resilience is an essential solution to the challenges caused by disasters or crisis. The resilient individual can actively cope with challenges and maintain a good performance in facing of disastrous events. After the outbreak of Novel Coronavirus Disease 2019 (COVID-19) in Wuhan, China, numerous researchers have engaged in studying the experiences of front-line nurses in Wuhan from different perspectives.

A Generalization of the Concavity of Rényi Entropy Power.

Recently, Savaré-Toscani proved that the Rényi entropy power of general probability densities solving the -nonlinear heat equation in Rn is a concave function of time under certain conditions of three parameters n,p,μ, which extends Costa's concavity inequality for Shannon's entropy power to the Rényi entropy power. In this paper, we give a condition Φ(n,p,μ) of n,p,μ under which the concavity of the Rényi entropy power is valid. The condition Φ(n,p,μ) contains Savaré-Toscani's condition as a special case and much more cases.

Regeneration pattern of primary forest species across forest-field gradients in the subtropical mountains of Southwestern China.

Evergreen broad-leaved forest is now gradually degraded and fragmented, and there is an increase in the amount of habitat edges as a result of long-term human activity. However, the role of edges in the regeneration of primary forest species is poorly understood. After 20 years of the edge creation, we analyzed primary forest species distribution and abundance, and changes in floristic composition, vegetation structure across forest-field gradients in Ailao Mountain, SW China.