Results 91 to 100 of about 5,322 (250)

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
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

Adjoint methods for car aerodynamics [PDF]

Journal of Mathematics in Industry, 2014
The adjoint method has long been considered as the tool of choice for gradient-based optimisation in computational fluid dynamics (CFD). It is the independence of the computational cost from the number of design variables that makes it particularly attractive for problems with large design spaces. Originally developed by Lions and Pironneau in the 70’s,
openaire   +1 more source

Differentiable Randers‐Finsler Eikonal Solvers

Computer Graphics Forum, EarlyView.
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, Jacob Shpund, Alex M. Bronstein   +2 more
wiley   +1 more source

Merging automatic differentiation and the adjoint method for photonic inverse design

Machine Learning: Science and Technology
Optimizing the shapes and topology of physical devices is crucial for both scientific and technological advancements, given their wide-ranging implications across numerous industries and research areas. Innovations in shape and topology optimization have
Alexander Luce, Rasoul Alaee, Fabian Knorr, Florian Marquardt   +3 more
doaj   +1 more source

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, Oded Stein, Amir Vaxman, Mirela Ben‐Chen, Misha Kazhdan   +4 more
wiley   +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

Attention Based Optimization for 3D Shape Registration

Computer Graphics Forum, EarlyView.
Abstract Transformers are sequence‐to‐sequence architectures originally designed to handle structurally rigid and order‐sensitive data, such as text and images. At their core, they exploit the attention mechanism, which is permutation‐equivariant and relies on computing token‐to‐token relationships.
A. Riva, L. Olearo, S. Melzi
wiley   +1 more source

Shape design for controlling structural displacement distribution in unsteady fluid-structure-interaction

Mechanical Engineering Journal
This paper presents a numerical solution for the shape design problem in unsteady fluid-structure-interaction (FSI) fields with viscous flow. The FSI analysis uses a strongly coupled approach based on the Arbitrary Lagrange-Eulerian (ALE) method.
Shota NARUSE, Eiji KATAMINE
doaj   +1 more source

Fluid Control with Localized Spacetime Windows

Computer Graphics Forum, EarlyView.
Abstract We present a physics‐based fluid control method utilizing localized spacetime windows, extending force‐based fluid control to substantially larger simulation scales. In many practical editing scenarios, user‐specified objectives affect only a small region of an otherwise satisfactory simulation, resulting in optimal control force distributions
Y. Chen, D. I. W. Levin, T. R. Langlois
wiley   +1 more source

Optimal Portfolio Choice With Cross‐Impact Propagators

Mathematical Finance, EarlyView.
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber, Eyal Neuman, Sturmius Tuschmann   +2 more
wiley   +1 more source