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
Swarm coordination of fish-like magnetic soft robots: directed aggregation and shape-adaptive attachment toward efficient drug delivery. [PDF]
Mao L +6 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
An Adaptive Multiparameter Penalty Selection Method for Multiconstraint and Multiblock ADMM. [PDF]
Lozenski L, McCann MT, Wohlberg B.
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
Turbulence generation supported by an inverse energy transfer through a zig-zag pattern. [PDF]
Kronborg J, Hoffman J.
europepmc +1 more source
Abstract Typography is an essential component of visual communication. Editing and animating text appearance for graphic designs, title sequences, commercials, and logos remain highly skilled tasks requiring detailed, hands‐on efforts from pro artists. Automating these challenging manual workflows requires balancing the competing goals of maintaining a
Kinjal Parikh +3 more
wiley +1 more source
Development of a Novel Rotor Design for Counter-Current Centrifugal Extraction Based on Computational Fluid Dynamics Simulations. [PDF]
Volpert S +3 more
europepmc +1 more source
Embedding Optimization of Layouts via Distortion Minimization
Abstract Given an embedding of a layout in the surface of a target mesh, we consider the problem of optimizing the embedding geometrically. Layout embeddings partition the surface into multiple disk‐like patches, making them particularly useful for parametrization and remeshing tasks, such as quad‐remeshing, since these problems can then be solved on ...
A. Heuschling, I. Lim, L. Kobbelt
wiley +1 more source
Mapping Still Matters: Coarse-Graining with Machine Learning Potentials. [PDF]
Görlich F, Zavadlav J.
europepmc +1 more source

