Results 51 to 60 of about 1,961,324 (211)
The Topology of Spaces of Polygons [PDF]
, 2011 We study the topology of spaces of polygons in Euclidean space, viewed up to translations. The main results concern the structure of the homology groups and of the cohomology rings of the spaces.
FROMM, VIKTOR
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Coequalisers of formal topology [PDF]
, 2006 We give a predicative construction of quotients of formal topologies. Along with earlier results on the match up between of continuous functions on real numbers (in the sense of Bishop's constructive mathematics) and approximable mappings on the formal ...
Palmgren, Erik
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 +2 more
wiley +1 more source
Fundamentals of algebraic topology
, 2014 This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod.
Weintraub, Steven H
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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 +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 +3 more
wiley +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 +5 more
wiley +1 more source
More Concise Algebraic Topology: Localization, Completion, and Model Categories
, 2011 With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated ...
Ponto, K, May, J P
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A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
International Statistical Review, EarlyView.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
Algebraic K-theory of spaces, concordance, and stable homotopy theory [PDF]
, 1987 Waldhausen F. Algebraic K-theory of spaces, concordance, and stable homotopy theory. In: Browder W, ed. Algebraic topology and algebraic K-theory: proceedings of a Conference October 24 - 28, 1983 (Entitled ´Algebraic Topology and Algebraic K-Theory´) at
Waldhausen, Friedhelm, Browder, William
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