Toward nonlinear representations with Gaussian-splat manifolds for physics-informed learning. [PDF]
Han X +5 more
europepmc +1 more source
Computing Skinning Weights via Convex Duality
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
From Dirac Structures to Port-Hamiltonian Partial Differential Equations, a Tutorial Introduction. [PDF]
Zwart H.
europepmc +1 more source
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
Fast automated adjoints for spectral PDE solvers. [PDF]
Skene CS, Burns KJ.
europepmc +1 more source
Controllable Intrinsic Surface Pattern Generation Using Slime Mold Simulations
Abstract Surface‐based pattern simulations have proven valuable for texture design and scientific visualization, but existing methods face several limitations. Most simulations either target a narrow range of pattern types (e.g. spots, branching) or support a broad range of patterns at the cost of time‐consuming parameter tuning.
Jeffrey Layton +2 more
wiley +1 more source
Exact wave structures and bifurcation for the (2+1)-Dimensional bogoyavlensky-Konopelchenko equation using modified extended direct algebraic technique. [PDF]
Elhady MA +4 more
europepmc +1 more source
Mesh Processing Non‐Meshes via Neural Displacement Fields
Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma +4 more
wiley +1 more source
Stochastic theory for pattern formation and front propagation in transitional pipe turbulence. [PDF]
Wang X, Shih HY, Goldenfeld N.
europepmc +1 more source
Interpolated Adaptive Linear Reduced Order Modeling for Deformation Dynamics
Abstract Linear reduced‐order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced mapping. We propose a new adaptive strategy for linear ROM that allows the reduced mapping to vary dynamically in response to the evolving deformation state ...
Y. Tao, M. Chiaramonte, P. Fernandez
wiley +1 more source

