Results 201 to 210 of about 19,216 (267)

Endomorphism algebras of abelian varieties with large cyclic 2-torsion field over a given field. [PDF]

Res Number Theory
Goodman P.
europepmc   +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

As‐Rigid‐As‐Possible Regularization for Implicit Surfaces

Computer Graphics Forum, EarlyView.
Abstract Implicit surface representations have regained popularity because of their use in machine learning. A common component in optimization is regularization, penalizing the deviation of the surface from its original shape. The popular as‐rigid‐as‐possible (Arap) energy strikes a good compromise between realistic deformation behavior and efficient ...
T. Djuren, M. Worchel, U. Finnendahl, M. Alexa   +3 more
wiley   +1 more source

Data-driven linear solver selection and performance tuning for multiphysics simulations in porous media. [PDF]

Comput Sci Eng (Cham)
Zabegaev Y, Berre I, Keilegavlen E.
europepmc   +1 more source

On Bending in the As‐Rigid‐As‐Possible Deformation Energy

Computer Graphics Forum, EarlyView.
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

A Geometry of Hamiltonian Mechanics. [PDF]

Entropy (Basel)
Elgressy G, Horwitz L.
europepmc   +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

Nilpotent symmetric Jacobian matrices and the Jacobian conjecture

Journal of Pure and Applied Algebra, 2004
openaire   +1 more source

Geometry-preserving vector field reconstruction of high-dimensional cell-state dynamics using ddHodge. [PDF]

Nat Commun
Maehara K, Ohkawa Y.
europepmc   +1 more source

Optimized and Aligned Anisotropic Monte Carlo Sampling Patterns

Computer Graphics Forum, EarlyView.
Abstract Path tracing uses Monte Carlo integration to solve the rendering equation by evaluating the integrand at random sampling points. The convergence rate of the error can be significantly improved by using correlated instead of random sampling, especially on smooth integrands.
Mirco Werner, Johannes Hanika, Carsten Dachsbacher   +2 more
wiley   +1 more source