Affinification: A Fine Approximation of Deformations
Abstract We introduce affinification, a novel method for accelerating physics‐based animation of elastic solids. During a time‐dependent simulation, our method automatically partitions the space into affine and elastic regions depending on the deformation.
A. Mercier‐Aubin +3 more
wiley +1 more source
A Riemannian Framework for Chemical Reaction Dynamics: Geodesics, Curvature, and Transition-State Stability. [PDF]
Mundim KC.
europepmc +1 more source
Survey on differential estimators for 3d point clouds
Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
A semi-analytical physics-informed neural network framework with hessian analysis for singularly perturbed fractal convection-dominated anomalous diffusion problems. [PDF]
Jha N, Rai MB.
europepmc +1 more source
Establishing Shape Correspondences: A Survey
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source
Double Asymptotic Expansion of Three-Center Electron Repulsion Integrals 2nd Derivatives. [PDF]
Olvera-Rubalcava FA +3 more
europepmc +1 more source
Geometry‐Aware Alignment and Comparison of Hierarchical Morse Complexes with Applications
Abstract Scalar fields derived from 3D X‐ray CT scans of samples undergoing ex situ processes, such as thermal aging, chemical etching, or mechanical stress, pose unique challenges for characterizing similarities and differences across acquisitions. Typically, a sample A (source) is imaged, removed, and subjected to experimental conditions that alter ...
Aniketh Venkat +3 more
wiley +1 more source
Adjoint and Unrolled Automatic Differentiation for Laplace-Approximated Likelihoods in Population PK and PK/PD Models. [PDF]
Jajamovich GH +3 more
europepmc +1 more source
Differentiable Randers‐Finsler Eikonal Solvers
Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan +2 more
wiley +1 more source
An explanation of the number of peaks and symmetries of starbursts. [PDF]
Barbero S, Delgado AM, Fernández L.
europepmc +1 more source

