Results 71 to 80 of about 3,067,533 (204)

FluidMap: Proportional and Spatially Consistent Layout Enrichments in Multidimensional Projections

Computer Graphics Forum, EarlyView.
FluidMap faithfully represents the frequency of an attribute and preserves spatial consistency. Current space‐filling methods over‐ or under‐represent attribute categories (i.e., all Voronoi‐based methods), sacrifice spatial consistency (i.e., Nmap) or both (i.e., Voronoi‐MWα).
Daniela Blumberg, Patrick Paetzold, Michael Stroh, Oliver Deussen, Daniel A. Keim, Frederik L. Dennig   +5 more
wiley   +1 more source

Basis Networks: Learning basis functions for free‐form triangulations

Computer Graphics Forum, EarlyView.
Abstract We present a framework for learning compactly supported basis functions that define tangent continuous surfaces based on coarse irregular triangle meshes. The basis functions are represented as MLPs. Smoothness of the basis functions is achieved by using the values of Loop basis functions as the parameterization of the surface.
T. Djuren, M. Alexa
wiley   +1 more source

The Effect of Transformations on the Approximation of Univariate (Convex) Functions with Applications to Pareto Curves [PDF]

In the literature, methods for the construction of piecewise linear upper and lower bounds for the approximation of univariate convex functions have been proposed.We study the effect of the use of increasing convex or increasing concave transformations ...
Siem, A.Y.D., Hertog, D. den, Hoffmann, A.L.   +2 more
core  

A Semi‐Analytical Energy Model for Particle‐Based Fluid Simulation Involving Complex Moving Boundaries

Computer Graphics Forum, EarlyView.
Abstract While semi‐analytical boundary handling techniques have proven effective for modeling particle‐based fluid‐solid interactions, they can become unstable when applied to mesh boundaries undergoing dynamic motion or featuring complex, sharp geometries.
Junyuan Liu, Shusen Liu, Yuzhong Guo, Ruikai Liang, Ying Li, Xiaowei He   +5 more
wiley   +1 more source

Survey on differential estimators for 3d point clouds

Computer Graphics Forum, EarlyView.
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, Thibault Lejemble, David Coeurjolly, Loïc Barthe, Nicolas Mellado   +4 more
wiley   +1 more source

Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis

Computer Graphics Forum, EarlyView.
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

New convex integral inequalities involving multiple functions

Latin American Journal of Mathematics
This article explores a modern counterpart to the classical Jensen integral inequality for integrals, which provides an upper bound for convex functions evaluated at an integral. We extend this result to more general settings involving sums and products of integrals of multiple functions.
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

Multiplicative fractional integral inequalities for multiplicative s-convex functions: A multi-parameter approach

Filomat
Within the multiplicative Riemann-Liouville (RL) fractional framework, we develop multi-parameter inequalities for multiplicatively differentiable s-convex positive functions. Using a multi-parameter multiplicative fractional integral identity, we establish several inequalities under the conditions: (i)* Ψ exhibits multiplicative s-convexity, and (ii) (
Can Yang, Tingsong Du
openaire   +1 more source

On Jensen's multiplicative inequality for positive convex functions of selfadjoint operators in Hilbert spaces

, 2020
Summary: We obtain some multiplicative refinements and reverses of Jensen's inequality for positive convex/concave functions of selfadjoint operators in Hilbert spaces. Natural applications for power and exponential functions are provided.
openaire   +2 more sources