Results 1 to 10 of about 208 (117)
Asymptotic Frame Fields of Rational Bézier Curves
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Bézier curves are a type of curves used in computer aided design and related fields. The curves can be defined with the help of De Casteljau algorithm, which is one of the most basic elements of curve and surface design, and Bernstein polynomials, which ...
Tunahan Turhan +2 more
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Necessary and Sufficient Conditions for Expressing Quadratic Rational Bézier Curves
Frontiers in Physics, 2020 Quadratic rational Bézier curve transformation is widely used in the field of computational geometry. In this paper, we offer several important characteristics of the quadratic rational Bézier curve.
Chaoyu Yang +3 more
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Approximation of conic sections by weighted Lupaş post-quantum Bézier curves
Demonstratio Mathematica, 2022 This paper deals with weighted Lupaş post-quantum Bernstein blending functions and Bézier curves constructed with the help of bases via (p,q)\left(p,q)-integers. These blending functions form normalized totally positive bases.
Khan Asif +3 more
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Applied Sciences, 2022 A key technique for modeling 2D objects is built using a Bézier-like rational quadratic trigonometric function with two form parameters. Since they are generated employing weights, the suggested rational quadratic trigonometric spline curve schemes are ...
Shamaila Samreen +4 more
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Craniofacial reconstruction using rational cubic ball curves. [PDF]
PLoS ONE, 2015 This paper proposes the reconstruction of craniofacial fracture using rational cubic Ball curve. The idea of choosing Ball curve is based on its robustness of computing efficiency over Bezier curve.
Abdul Majeed +3 more
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Degree reduction of Rational Bézier curves by hybrid optimization method
Results in Applied Mathematics, 2022 The paper addresses the problem of degree reduction of rational Bézier curves. A new optimization problem is formulated based on the weighted sum method, weighted least squares and quadratic programming.
Mao Shi
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Interpolation method for quaternionic-Bezier curves
Lietuvos Matematikos Rinkinys, 2018 We study rational quaternionic-Bézier curves in three dimensional space. We construct the quadratic quaternionic-Bézier curve which interpolates five points, or three points and two tangent vectors.
Severinas Zube
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Quaternion rational Bézier curves
Lietuvos Matematikos Rinkinys, 2011 We extended the rational Bézier model for space curve, by allowing quaternion weights. These curves are Möbius invariant and have halved degree with respect to real Bézier curves. This simplify the analysis of curves. In general, these curves are in four
Severinas Zube
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Curve and surface construction based on the generalized toric-Bernstein basis functions
Open Mathematics, 2020 The construction of parametric curve and surface plays an important role in computer aided geometric design (CAGD), computer aided design (CAD), and geometric modeling.
Li Jing-Gai, Zhu Chun-Gang
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Neural-Network-Based Curve Fitting Using Totally Positive Rational Bases
Mathematics, 2020 This paper proposes a method for learning the process of curve fitting through a general class of totally positive rational bases. The approximation is achieved by finding suitable weights and control points to fit the given set of data points using a ...
Rocio Gonzalez-Diaz +3 more
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