Results 231 to 240 of about 129,549 (262)

Regular curves and proper parametrizations

Proceedings of the international symposium on Symbolic and algebraic computation, 1990
We present an algorithm for determining whether a given rational parametric curve, defined as vector valued function over a finite domain, has a regular parametrization. A curve has a regular parametrization if it has no cusps in its defining interval.
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Improperly parametrized rational curves

Computer Aided Geometric Design, 1986
Improperly parametrized curves, expressed in a parametric representation, are those which do not have a one-to-one correspondence between values of the parameter and points on the curve. The purpose of this paper is to present an algorithm for detecting whether a curve expressed parametrically in terms of rational functions is improperly parametrized ...
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Parametrized Plane Curves

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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Survey, Analysis and Construction Of Parametric Curves Parametric Curves

2021
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Parametrization of algebraic curves

1996
Algebraic 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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Algorithms for intersecting parametric and algebraic curves I

ACM Transactions on Graphics, 1994
Dinesh Manocha, James Demmel
exaly  

Hesse Parametrization of a Spectral Curve

Mathematical Notes, 2018
Aptekarev, A. I., Tulyakov, D. N.
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Seismic fragility curves for structures using non-parametric representations

Frontiers of Structural and Civil Engineering, 2017
Katerina Konaklı, Bruno Sudret
exaly  

Parametric G n blending of curves and surfaces

Visual Computer, 2001
Erich Hartmann
exaly  

A parametric model for time–intensity curves

Food Quality and Preference, 2004
Paul H C Eilers, Garmt B Dijksterhuis
exaly