SYNTHESIS AND ANALYSIS OF A MECHANISM GENERATING THE RATIONAL CIRCULAR CUBIC
Journal of Industrial Design and Engineering Graphics, 2019 Based on the mathematical curve named rational circular cubic [2] and on its animation, it was conceived an original mechanism generating this curve.
Mirela Cherciu, Iulian Popescu
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Parametric Rational Cubic Approximation Scheme for Circular Arcs
International Journal of Applied and Computational Mathematics, 2023 Abstract The research paper presents a numerical method for the 𝐺2- approximation of circular arcs. The developed technique is worked on a quarter circle and the complete circle is formed using affine transformation. The optimal value of the free parameters is searched for by reducing the approximation error to its minimum.
Ayesha Shakeel +2 more
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A Variable-Length Rational Finite Element Based on the Absolute Nodal Coordinate Formulation
Machines, 2022 The variable-length arbitrary Lagrange–Euler absolute nodal coordinate formulation (ALE-ANCF) finite element, which employs nonrational interpolating polynomials, cannot exactly describe rational cubic Bezier curves such as conic and circular curves. The
Zhishen Ding, Bin Ouyang
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Rational Cubics and Conics Representation: A Practical Approach
International Islamic University Malaysia Engineering Journal, 2012 A rational cubic spline, with one family of shape parameters, has been discussed with the view to its application in Computer Graphics. It incorporates both conic sections and parametric cubic curves as special cases.
M. Sarfraz, Z. Habib
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The Representation of Circular Arc by Using Rational Cubic Timmer Curve
Mathematical Problems in Engineering, 2014 In CAD/CAM systems, rational polynomials, in particular the Bézier or NURBS forms, are useful to approximate the circular arcs. In this paper, a new representation method by means of rational cubic Timmer (RCT) curves is proposed to effectively represent a circular arc.
Muhammad Abbas +3 more
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STROPHOIDS, A FAMILY OF CUBIC CURVES WITH REMARKABLE PROPERTIES
Journal of Industrial Design and Engineering Graphics, 2015 Strophoids are circular cubic curves which have a node with orthogonal tangents. These rational curves are characterized by a series or properties, and they show up as locus of points at various geometric problems in the Euclidean plane: Strophoids are ...
Hellmuth Stachel
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Universality for Taylor coefficients of rational functions under perturbations. [PDF]
Proc Natl Acad Sci U S ABaryshnikov Y, Pemantle R.
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Subdivision method for rational ANCF circular elements. [PDF]
Sci RepShi M, Liu M, Liu Y, Lan P.
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Qualitative Evaluation of the Magnetocrystalline Anisotropy in Spinel Ferrite Nanoparticles Using Polarized Neutron Powder Diffraction. [PDF]
SmallGolosovsky IV +9 more
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Crystallography-inspired hierarchical multiscale mechanical metamaterials. [PDF]
NPJ MetamaterCai J +5 more
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