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Rational Bézier curves with infinitely many integral points [PDF]
, 2023 summary:In this paper we consider rational Bézier curves with control points having rational coordinates and rational weights, and we give necessary and sufficient conditions for such a curve to have infinitely many points with integer coefficients ...
Dospra, Petroula
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Variational design of smooth rational Bézier curves [PDF]
, 1991 International audienceNURBS' are eurrently seen as the most promising curve form in CAO /CAM applications. Rational Bézier curves are special non-uniform rational B-splines. In this paper we describe a calculus of variation approach to design the weights
Bonneau, Georges-Pierre, Hagen, Hans
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Rational Bézier Curve and Its Application in Blending of Thickness Different Tubes
, 2018 In this paper, the rational Bézier curve can be adjusted and controlled in the shape of a curve near a particular control point. Then, on the basis of the smooth blending circular tubes with the two different radiuses, the axes of the tubes are non ...
Taotuge +3 more
semanticscholar +1 more source
Rational tensor product Bézier volumes [PDF]
, 1994 Free form volumes in rational Bézier representation are derived via homogeneous coordinates. Some properties and constructions are presented and two applications of free form volumes are discussed: definition of solid primitives and curve and surface ...
D. Lasser, Lasser, Dieter, Lasser, D.
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Rational quadratic trigonometric Bézier curve based on new basis with exponential functions
上海师范大学学报. 自然科学版, 2017 We construct a rational quadratic trigonometric Bézier curve with four shape parameters by introducing two exponential functions into the trigonometric basis functions in this paper.
Wu Beibei +3 more
doaj +1 more source
New shape control tools for rational Bézier curve design
, 2022 Bézier curves are indispensable for geometric modelling and computer graphics. They have numerous favourable properties and provide the user with intuitive tools for editing the shape of a parametric polynomial curve. Even more control and flexibility
Ramanantoanina, Andriamahenina +1 more
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Toric degenerations of Bézier patches [PDF]
, 2011 The control polygon of a rational Bézier curve is well-defined and has geometric significance; there is a sequence of weights under which the limiting position of the curve is the control polygon.
Frank Sottile +2 more
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Ain Shams Engineering JournalThis paper presents an in-depth evaluation of modified Progressive Iterative Approximation (PIA) methods for basis curve conversion and approximation, addressing critical challenges in Quadratic Trigonometric (QT) Bézier and rational Bézier curves.
Mohamad Ekram Nordin, Md Yushalify Misro
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Curve fitting by rational cubic Bézier with C1 and G1 continuity using metaheuristics methods [PDF]
, 2019 Rational cubic Bézier curves are used to approximate the data sets while minimizing the least-squares error function using different metaheuristics algorithms.
Abd Rahni, Mt Piah +3 more
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Key Technical Fields and Future Outlooks of Space Manipulators: A Survey
SmartBot, EarlyView.This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen +12 more
wiley +1 more source