Results 81 to 90 of about 9,059 (226)
Basis Networks: Learning basis functions for free‐form triangulations
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
Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations
Numerical solutions of one-dimensional heat and advection-diffusion equations are obtained by collocation method based on cubic B-spline. Usual finite difference scheme is used for time and space integrations.
Joan Goh +2 more
doaj +1 more source
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
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
SAGE: Structure‐Aware Generative Video Transitions between Diverse Clips
Abstract Video transitions aim to synthesize intermediate frames between two clips, but naïve approaches such as linear blending introduce artifacts that limit professional use or break temporal coherence. Traditional techniques (cross‐fades, morphing, frame interpolation) and recent generative inbetweening methods can produce high‐quality plausible ...
Mia Kan, Yilin Liu, Niloy J. Mitra
wiley +1 more source
Tubes or Ribbons? Comparing Texture‐space Visualization for Multivariate Line Data
Abstract Multivariate line data is critical for analyzing flow fields, agent systems, and dynamic trajectories. Embedding secondary variables along spatial paths using surface‐based primitives such as ribbons and circular tubes introduces challenges related to perspective, scale, and distortion.
B. Russig +3 more
wiley +1 more source
Evaluating the Perceptual Space of Surface Noise for Visualization
Abstract Surface noise provides a geometric alternative to color for encoding scalar information on surfaces, yet its perceptual characteristics remain insufficiently understood. We present a systematic investigation of how variations in noise amplitude and frequency are perceived when applied to 3D surfaces. Across three online perceptual studies with
A. Sterzik, N. Merk, K. Lawonn
wiley +1 more source
Parallel Vectors Extraction using Bézier Clipping
Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley +1 more source
The Story(line) So Far: A Survey on Storyline Visualization
Abstract Storyline visualizations model narratives as temporal networks, using x‐monotone lines to represent entities and their interactions over time. This technique offers an intuitive way to reveal structural patterns over time, such as character co‐occurrence and narrative flow.
S. Di Bartolomeo +4 more
wiley +1 more source
Flexible cubic spline interpolation [PDF]
This report describes a simple, efficient, and flexible program for cubic spline interpolation in one dimension, suitable for inclusion in the ANL Subroutine Library and in an interactive timesharing system. Most of the cubic spline programs already available either restrict the boundary conditions to knowledge of the first derivative at both end ...
openaire +3 more sources

