Results 51 to 60 of about 1,693,281 (169)

Algebraic topology and related topics

, 2019
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory.
Wu, Jie, Singh, Mahender, Song, Yongjin
core   +1 more source

Zero‐Current Switching Based Model Predictive Control of a Double‐Extended Overlapped Alternate Arm Converter Used in the VSC–HVDC System

High Voltage, EarlyView.
ABSTRACT The alternate arm converter (AAC) is one of the most efficient multilevel topologies based on voltage source converters (VSCs), which has recently gained attention in various applications, particularly in high voltage direct current (HVDC) systems.
Ehsan Akbari, Milad Samady Shadlu
wiley   +1 more source

Quantitative Metrics for Edge Bundling of Network Visualizations

Computer Graphics Forum, EarlyView.
Abstract Edge bundling is widely used for reducing visual clutter in large 2D network and trajectory visualizations. Various edge bundling methods have been proposed, each producing qualitatively distinct outputs for the same data; however, few quantitative metrics exist for systematic evaluation. In this paper, we propose a set of quantitative metrics
M. Wallinger, J. Miller, A. Maftei, S. G. Kobourov   +3 more
wiley   +1 more source

Survey on Visualization of Information Diffusion over Networks

Computer Graphics Forum, EarlyView.
Abstract Information Diffusion (ID) describes how a value (e.g., a pathogen, a rumor, a packet) spreads through an underlying “medium” network of elements (e.g., a social or computer network). Understanding the information diffusion process is essential to predicting trends, controlling misinformation, and enhancing decision‐making as well as ...
T. Baumgartl, M. Sondag, V. Filipov, M. Tuscher, S. Rajendran, S. Miksch, D. Archambault, A. Arleo, T. von Landesberger   +8 more
wiley   +1 more source

Basic algebraic topology and its applications

, 2016
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme
Adhikari, Mahima Ranjan
core   +1 more source

Fast Nodal Hessian Computation for Peridynamic Fracture Simulation

Computer Graphics Forum, EarlyView.
A fast, exact nodal Hessian computation for Non‐Ordinary State‐Based Peridynamics is introduced through analytical simplification and a warp‐centric GPU strategy. The method accelerates preconditioned solvers and Vertex Block Descent, enabling interactive fracture simulation with physical accuracy.
Yuxiong Qin, Qingfu Zhang, Zhongkai Zhang   +2 more
wiley   +1 more source

Phong‐Rodrigues Extrinsic Vector‐Field Processing

Computer Graphics Forum, EarlyView.
Abstract We introduce a new extrinsic discretization of tangent vector fields on triangle meshes that is continuous, with bounded derivatives that are continuous almost everywhere, supporting pointwise evaluation and integration of differential operators.
Hongyi Liu, Oded Stein, Amir Vaxman, Mirela Ben‐Chen, Misha Kazhdan   +4 more
wiley   +1 more source

Tangent Blow‐Ups for Processing Non‐Manifold Geometry

Computer Graphics Forum, EarlyView.
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov, Mohammad Sina Nabizadeh, Ana Dodik, Justin Solomon   +3 more
wiley   +1 more source

Applications of Computational Algebraic Topology [PDF]

, 2016
En este texto describimos un curso impartido en el congreso \UN Encuentro de Matemáticas 2016" que tuvo lugar en Bogotá (Colombia). El curso fue dividido en cuatro partes. En la primera se presentaron defniciones básicas de la Topología Algebraica.
Rubio García, Julio
core   +1 more source

FaceMamba: Geometry‐Aware Mamba for Efficient Speech‐Driven 3D Facial Animation

Computer Graphics Forum, EarlyView.
Abstract Speech‐driven 3D facial animation plays a pivotal role in immersive digital human applications. Recent works have explored Mamba‐based sequence modeling as an efficient alternative to Transformer, but they often suffer from limited cross‐modal alignment and insufficient control over fine‐grained facial deformations.
Yifan Ge, Zhiqiang Ren, Yazhan Zhang, Haofei Wang, Yawen Zhang, Shengli Zhang   +5 more
wiley   +1 more source