Results 61 to 70 of about 779 (181)

Optimization-Driven Reconstruction of 3D Space Curves from Two Views Using NURBS

Mathematics
In the realm of 3D curve reconstruction, Non-Uniform Rational B-Splines (NURBSs) offer a versatile mathematical tool due to their ability to precisely represent complex geometries.
Musrrat Ali, Deepika Saini, Sanoj Kumar, Abdul Rahaman Wahab Sait   +3 more
doaj   +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

Change Point Analysis for Functional Data Using Empirical Characteristic Functionals

Journal of Time Series Analysis, EarlyView.
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth, Gregory Rice, Jeremy VanderDoes   +2 more
wiley   +1 more source

An integrated platform for 2‐D and 3‐D optical and electrical mapping of arrhythmias in Langendorff‐perfused rabbit hearts

The Journal of Physiology, EarlyView.
Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles, Vinícius Silva, Tainan Neves, Italo Sandoval, Angélica Quadros, Giovanni Weber, Óscar Barquero, Ilija Uzelac, João Salinet   +8 more
wiley   +1 more source

Transfinite Elements Using Bernstein Polynomials

Axioms
Transfinite interpolation, originally proposed in the early 1970s as a global interpolation method, was first implemented using Lagrange polynomials and cubic Hermite splines.
Christopher Provatidis
doaj   +1 more source

Enhancing the Fluorescence of an Aggregation‐Induced Emission‐Active Polymorphic System With Remarkable Mechanochromism for Visualizing Microcracks and Stress Distribution in Textiles

Aggregate, Volume 7, Issue 4, April 2026.
A polymorphic AIE system with mechano‐responsive behaviors is developed and exhibits remarkable mechanochromism, force‐induced emission enhancement, and mechanoluminescence properties, with pressure‐induced emission shifts and enhanced fluorescence.
Chunping Ma, Yang Wang, Jiyin He, Qiankun Guo, Baoyu Huang, Wenyang Xie, Zihui Liu, Anqi Xu, Zheng Zhao, Jinpeng Mo, Longfei Fan, Bingjia Xu, Zhenguo Chi, Ben Zhong Tang, Tiangang Luan   +14 more
wiley   +1 more source

Isogeometric Fast Multipole Boundary Element Method Based on Burton-Miller Formulation for 3D Acoustic Problems

Archives of Acoustics, 2019
An isogeometric boundary element method is applied to simulate wave scattering problems governed by the Helmholtz equation. The NURBS (non-uniform rational B-splines) widely used in the CAD (computer aided design) field is applied to represent the ...
Leilei CHEN, Wenchang ZHAO, Cheng LIU, Haibo CHEN, Steffen MARBURG   +4 more
doaj   +1 more source

Automatic Generation of T-Splines with Extraordinary Points Based on Domain Decomposition of Quadrilateral Patches

Mathematics
Isogeometric analysis (IGA) is a numerical methodology for solving differential equations by employing basis functions that preserve the exact geometry of the domain. This approach is based on a class of mathematical functions known as NURBS (Non-Uniform
João Carlos L. Peixoto, Rafael L. Rangel, Luiz Fernando Martha   +2 more
doaj   +1 more source

Comparative Study on the Interest in Non-Uniform Rational B-Splines Representation versus Polynomial Surface Description in a Freeform Three-Mirror Anastigmat

Photonics
Novel freeform optical design methods can be classified in two categories, depending on whether they focus on the generation of a starting point or the development of new optimization tools.
Clément Freslier, Guillaume Druart, Alice Fontbonne, Thierry Lépine, Christophe Buisset, Tibor Agocs, Arnaud Heliere, Fanny Keller, Jean-Baptiste Volatier, Stéphane Beaussier, Paul Jougla   +10 more
doaj   +1 more source

Numerical Analysis of the Cylindrical Shell Pipe with Preformed Holes Subjected to a Compressive Load Using Non-Uniform Rational B-Splines and T-Splines for an Isogeometric Analysis Approach

Axioms
In this paper, we implement the finite detail technique primarily based on T-Splines for approximating solutions to the linear elasticity equations in the connected and bounded Lipschitz domain.
Said EL Fakkoussi, Ouadie Koubaiti, Ahmed Elkhalfi, Sorin Vlase, Marin Marin   +4 more
doaj   +1 more source