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2010
We start with some definitions. Definition 1.1. A (parametrized plane) curve is a continuous mapping m : I → ℝ2, where I = [a, b] is an interval. The curve m is closed if m(a) = m(b). A curve m is a Jordan curve if it is closed and m has no self-intersection: m(x) = m(y) only for x = y or {x, y} = {a, b}.
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We start with some definitions. Definition 1.1. A (parametrized plane) curve is a continuous mapping m : I → ℝ2, where I = [a, b] is an interval. The curve m is closed if m(a) = m(b). A curve m is a Jordan curve if it is closed and m has no self-intersection: m(x) = m(y) only for x = y or {x, y} = {a, b}.
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Survey, Analysis and Construction Of Parametric Curves Parametric Curves
2021openaire +1 more source
Parametrization of algebraic curves
1996Algebraic geometry is the study of geometric objects defined as the zeros of polynomial equations. So it is not surprising that many of the techniques in algebraic geometry become computationally feasible once we have algorithmic solutions for the relevant problems in commutative algebra, i.e., the algebra of polynomial rings.
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A new approach for computing the asymptotes of a parametric curve
Journal of Computational and Applied Mathematics, 2020Angel Blasco, Sonia Pérez-Díaz
exaly
Convergence of Dziuk's Linearly Implicit Parametric Finite Element Method for Curve Shortening Flow
SIAM Journal on Numerical Analysis, 2020Buyang Li
exaly
Development of an enhanced parametric model for wind turbine power curve
Applied Energy, 2016Mostafa Modiri-Delshad +2 more
exaly
Hesse Parametrization of a Spectral Curve
Mathematical Notes, 2018Aptekarev, A. I., Tulyakov, D. N.
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Wind Turbine Power Curve Modeling Using Advanced Parametric and Nonparametric Methods
IEEE Transactions on Sustainable Energy, 2014Mohammad Jafari Jozani, Eric Bibeau
exaly

