Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis
Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley +1 more source
Nonlinear vibration analysis of graphene nanoplatelet-reinforced polymer plates incorporating hyperelastic material behavior. [PDF]
Saraghayn AM +4 more
europepmc +1 more source
Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy
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
Theta functions, broken lines and 2-marked log Gromov-Witten invariants. [PDF]
Gräfnitz T.
europepmc +1 more source
The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Gu Y, Wang J.
europepmc +1 more source
Scaling Invariance: A Gateway to Phase Transitions. [PDF]
Leonel ED.
europepmc +1 more source
Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]
Spiliotis K +3 more
europepmc +1 more source
A CSI Approach Incorporating Recursive Eigenfunction Expansion for Efficient Microwave Imaging of Objects Embedded in Arbitrarily Shaped Multilayer Cylinders. [PDF]
Aslanyürek B, Gürbüz TU.
europepmc +1 more source
Robust slice-level stroke classification in non-contrast head CT via structural consistency regularization and counterfactual suppression. [PDF]
Xu D, Yao Q, Qian L.
europepmc +1 more source

