On the Construction of a Surface Family with Common Geodesic in Galilean Space G3
In this paper, we investigate the parametric representation for a family of surfaces through a given geodesic curve G3. We provide necessary and sufficient conditions for this curve to be an isogeodesic curve on the parametric surfaces using Frenet frame
Yüzbaşı Zühal Küçükarslan +1 more
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A new orthogonal projection method for computing the minimum distance between a point and a spatial parametric curve is presented. It consists of a geometric iteration which converges faster than the existing Newton’s method, and it is insensitive to the
Xiaowu Li +5 more
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Machine Learning Based on Multi-Parametric MRI to Predict Risk of Breast Cancer
PurposeMachine learning (ML) can extract high-throughput features of images to predict disease. This study aimed to develop nomogram of multi-parametric MRI (mpMRI) ML model to predict the risk of breast cancer.MethodsThe mpMRI included non-enhanced and ...
Weijing Tao +10 more
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A Note on Parametric Surfaces in Minkowski 3-Space
With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic ...
Esra Betul Koc Ozturk
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Radical parametrizations of algebraic curves by adjoint curves
We present algorithms for parametrizing by radicals an irreducible curve, not necessarily plane, when the genus is less o equal to 4 and they are defined over an algebraically closed field of characteristic zero. In addition, we also present an algorithm for parametrizing by radicals any irreducible plane curve of degree $d$ having at least a point of ...
J. Rafael Sendra, David Sevilla
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Modification of the Curve and the Surface Polynomial Bezier Using de Casteljau Algorithm
Research carried out to obtain a Bezier curve of degree six resulting curvature of the curve is more varied and multifaceted. Stages in formulating applications Bezier surfaces revolution in design, there are three marble objects.
Juhari Juhari
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Efficient Digital Watermark key Generation Using Hexagonal Structure and parametric Lagrange Curve [PDF]
Digital watermarking provides copyright protection for digital image by hiding appropriate information in the original image. Hence copyright protection has become essential to avoid unauthorized replication problem.
Hala Bahjat Abdul Wahab +1 more
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A nonparametric Bayesian continual reassessment method in single-agent dose-finding studies
Background The main purpose of dose-finding studies in Phase I trial is to estimate maximum tolerated dose (MTD), which is the maximum test dose that can be assigned with an acceptable level of toxicity.
Niansheng Tang, Songjian Wang, Gen Ye
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Parametric Design and Optimization of the Profile of Autonomous Underwater Helicopter Based on NURBS
Autonomous Underwater Helicopter (AUH) is a disk-shaped Autonomous Underwater Vehicle (AUV), and it has comparative advantage of near-bottom hovering and whole-direction turn-around ability over the traditional slender AUV.
Xinyu An, Ying Chen, Haocai Huang
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Parametric families for the Lorenz curve: an analysis of income distribution in European countries [PDF]
We investigate differences and similarities of income distribution among European countries on the basis of the Lorenz curve (LC). By performing an empirical analysis, we compare different parametric models for the LC, namely, the power LC, the Lamè LC ...
Franek, Jiří +3 more
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