Results 41 to 50 of about 32,621 (175)

Single Line Drawing Generation via Semantics‐Driven Optimization

Computer Graphics Forum, EarlyView.
We present a method for automatically generating single‐line drawings in vector format, guided by a text prompt or an input image. Our approach leverages score distillation sampling to optimize the parameters of a uniform rational B‐spline (URBS) curve, ensuring that the drawing consists of a single continuous stroke by design.
Tanguy Magne, Alexandre Binninger, Ruben Wiersma, Olga Sorkine‐Hornung   +3 more
wiley   +1 more source

Conics and quadics in rational Bézier form

, 2021
Delo obravnava stožnice, podane kot racionalne Bézierjeve krivulje stopnje 2. V delu opišemo in ponazorimo algebraične in geometrijske lastnosti stožnic, podanih v taki obliki.
Šadl Praprotnik, Ada
core  

Interpolating G2 continuous closed curve with rational conics(基于有理二次Bézier曲线段的G2连续闭曲线插值)

Zhejiang Daxue xuebao. Lixue ban, 2001
本文给出了两段相邻的有理二次Bézier曲线G2连续的条件，提出了通过调整权因子而不是调整控制顶点来修改二次有理Bézier曲线的形状的方法，从而实现了两相邻曲线间的G2连续拼接；实现了两分离二次有理Bézier曲线间的G2连续过渡.最后还给出了在仅仅增加或改变一个控制顶点的情况下，利用二次Bézier曲线插值平面凸多边形的顶点，构成G2连续的闭曲线.
CHENGJin-hui(陈锦辉)
doaj   +1 more source

An Explicit, Compact, and Rotation‐Agnostic Formulation for Equivalent Nodal Loads for Point‐Loaded Beams

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In time‐marching dynamical simulations, treatment of contact forces in deformable bodies represented by finite element meshes requires a compromise between simulation fidelity and computational costs. External forces directly evaluated at the mesh nodes offer better computational performance at the cost of modelling fidelity.
Alexander R. Schock, Mark Reckzin, Robert G. Langlois   +2 more
wiley   +1 more source

Apollonian de Casteljau–type algorithms for complex rational Bézier curves

, 2023
We describe a new de Casteljau–type algorithm for complex rational Bézier curves. After proving that these curves exhibit the maximal possible circularity, we construct their points via a de Casteljau–type algorithm over complex numbers.
Zbyněk Šír, Bert Jüttler, Schicho, Josef, Jüttler, Bert, Josef Schicho, Šír, Zbyněk   +5 more
core   +1 more source

Evaluation Algorithms for Parametric Curves and Surfaces

Mathematics
This paper extends Woźny and Chudy’s linear-complexity Bézier evaluation algorithm (2020) to all parametric curves/surfaces with normalized basis functions via a novel basis function matrix decomposition. The unified framework covers the following: (i) B-
Lanlan Yan
doaj   +1 more source

Rotary 4D Printing of Programmable Metamaterials on Sustainable 4D Mandrel

Advanced Materials Technologies, Volume 11, Issue 1, 8 January 2026.
The paper introduces open, rotary 4D printing of programmable tubular metamaterials. It presents an open, non‐planar path‐to‐G‐code pipeline and shape‐changing rotary mandrel that enable support‐free fabrication and multi‐stimuli actuation. Experiments and FEA validate the mentioned features and stress redistribution.
Hesam Soleimanzadeh, Mahdi Bodaghi, Marzieh Jamalabadi, Bernard Rolfe, Ali Zolfagharian   +4 more
wiley   +1 more source

A Note on Rational Lagrange Polynomials for CAGD Applications and Isogeometric Analysis

Mathematics
While the established theory of computer-aided geometric design (CAGD) suggests that rational Bernstein–Bézier polynomials associated with control points can be used to accurately represent conics and quadrics, this paper shows that the same goal can be ...
Christopher Provatidis
doaj   +1 more source

Quasi‐Continuous Decision‐Making for Autonomous Driving Based on a Hybrid Data‐Driven Approach

IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
Autonomous driving needs a more reasonable combination method of AI and rule‐based solutions. Driving behaviour is modelled with a random‐variable‐based basic trajectory list to realise quasi‐continuity. The decision‐making problem is solved with hybrid data‐driven from both manual driving data and environmental interaction data.
Wei Xu, Wenmin Wang, Zhaolin Liu
wiley   +1 more source

Triangular Bézier sub-surfaces on a triangular Bézier surface

, 2011
This paper considers the problem of computing the Bézier representation for a triangular sub-patch on a triangular Bézier surface. The triangular sub-patch is defined as a composition of the triangular surface and a domain surface that is also a ...
Cai, Yiyu, Wenyu Chen, Chen, Wenyu, Rongdong Yu, Yu, Rongdong, Yiyu Cai, Chikit Au, Au, Chi Kit, Jianmin Zheng, Zheng, Jianmin, Au, Chikit   +10 more
core   +1 more source