Results 131 to 140 of about 12,439,104 (289)
A Quasi-Newton Trust-Region Method
, 2003 The classical trust-region method for unconstrained minimization can be augmented with a line search that finds a point that satisfies the Wolfe conditions. One can use this new method to define an algorithm that simultaneously satisfies the quasi-Newton
E. Michael Gertz
core
Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy
Computer Graphics Forum, EarlyView.Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley +1 more source
Computer Graphics Forum, EarlyView.Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
wiley +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
GNOCHI: Generative Neural mOdel for Close Human‐Human Interactions
Computer Graphics Forum, EarlyView.Abstract Creating realistic 3D human‐human interactions in virtual environments is challenging due to the high degrees of freedom in human body and the need for physically accurate poses that do not collide with each other. Traditional methods for humanhuman interaction are based on motion tracking or 3D body reconstruction, but lack generative ...
Gonzalo Gómez‐Nogales +3 more
wiley +1 more source
Quasi-Newton's method with correction
Novi Sad Journal of Mathematics - NSJOM, 1996 The problem of solving a system of nonlinear equations \(F(x) = 0\), where \(F:\mathbb{R}^n \rightarrow \mathbb{R}^n\) is a nonlinear mapping of a special form \(F(x) = Ax + G(x)\) with linear part \(A \in \mathbb{R}^{n,n}\) and nonlinear part \(G:\mathbb{R}^n \rightarrow \mathbb{R}^n\), is considered.
Herceg, Dragoslav +2 more
openaire +1 more source
Computer Graphics Forum, EarlyView.Abstract We present a fast, robust method for continuous collision detection (CCD) directly between pairs of complex signed distance fields (SDFs). By casting CCD as an alternating spatio‐temporal optimization and driving a small set of smartly sampled surface points along SDF tangent spaces, our approach avoids dense sampling or triangle meshes ...
Rasmus Gabelgaard Nielsen, Kenny Erleben
wiley +1 more source
Optimization problems, arise in many practical applications, from the view points of both theory and numerical methods. Especially, significant improvement in deep learning training came from the Quasi-Newton methods.
Li, Jiongcheng
core
A Splitting Architecture for Exact Reduced Coulomb Friction
Computer Graphics Forum, EarlyView.Abstract Existing approaches to frictional contact dynamics typically either modify the Coulomb law to improve numerical robustness or solve the exact law in a fully coupled monolithic form. However, in its reduced form, exact Coulomb friction can be written as a cone complementarity problem with an augmented velocity, which reveals a natural split ...
Hongcheng Song +3 more
wiley +1 more source
Fatigue &Fracture of Engineering Materials &Structures, EarlyView.ABSTRACT This study experimentally and numerically investigates fatigue damage in additively manufactured 316L stainless steel produced by selective laser melting using the powder bed fusion–laser beam process. More than 100 specimens were tested under tensile and strain‐controlled fatigue loading to evaluate the effects of surface condition, hot ...
M. Subasic +12 more
wiley +1 more source