Results 101 to 110 of about 119,248,019 (197)
On Bending in the As‐Rigid‐As‐Possible Deformation Energy
Abstract The well‐established As‐Rigid‐As‐Possible (ARAP) energy has various forms. For surface deformation, commonly used energies contain an implicit bending penalty. We present a natural, continuous generalization that incorporates multiple ARAP versions with an implicit, user‐controllable bending penalty.
Ugo Finnendahl, Marc Alexa
wiley +1 more source
Tangent Blow‐Ups for Processing Non‐Manifold Geometry
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 +3 more
wiley +1 more source
Primal SPH Solver for Strongly Coupled Multiphase Simulations with High Density Ratios
Abstract In recent years, the Smoothed Particle Hydrodynamics (SPH) approach has been increasingly used for multiphase simulations involving interactions between diverse materials. A critical component of an SPH simulator is the pressure solver, which not only facilitates the simulation of compressible or incompressible fluids but also handles contact ...
Jan Bender +3 more
wiley +1 more source
FaceMamba: Geometry‐Aware Mamba for Efficient Speech‐Driven 3D Facial Animation
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 +5 more
wiley +1 more source
A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
wiley +1 more source
Random‐key optimization for 2D irregular packing with reusable area evaluation
Abstract The diverse constraints of industrial applications lead to variants of two‐dimensional (2D) irregular packing problems that require tailored solution methods. This paper addresses a real‐world industrial challenge by proposing a new problem definition, the maximum reusable contiguous area problem (MRCAP), and a novel metric, the maximum ...
Felipe S. C. Roberto +5 more
wiley +1 more source
Capital‐Labour Substitution in Macroeconomics: A Survey of Mechanisms, Dynamics and Policy Insights
ABSTRACT Macroeconomic conclusions often hinge on a single, hard‐to‐pin‐down parameter: the elasticity of substitution between capital and labour, σ. This survey synthesises theory and evidence on how results change once we move beyond the Cobb–Douglas benchmark (σ=1$\sigma = 1$).
Francisco Rebelo, Fernando Del Río
wiley +1 more source
Naive homotopical techniques in algebraic geometry
I’ll present a framework for making simple but effective homotopical arguments in algebraic geometry. These methods apply only in certain fortunate situations, but when they do, they yield surprising (to me) facts about basic geometric objects.
Vakil, Ravi
core
Image of mathematics: A case study of two women's early mathematics experiences
Abstract People often view mathematics as abstract, cold, and irrelevant to real life, and their school experiences likely influence such views. In this case study, we investigated the mathematics experiences of two women who participated in an afterschool girls‐only STEM club 30 years ago when they were in fifth and sixth grades.
Lili Zhou +4 more
wiley +1 more source
Algebraic Geometry in Coding Theory and Cryptography
This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography.
Niederreiter, Harald, Xing, Chaoping
core

