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ARC-length method for differential equations
Applied Mathematics and Mechanics, 1999The authors replace the independent variable in an autonomous system of differential equations by the arc-length. They give two numerical examples.
Wu, JK, Hui, WH, Ding, HL
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Computing the arc length of parametric curves
IEEE Computer Graphics and Applications, 1990Specifying constraints on motion is simpler if the curve is parameterized by arc length, but many parametric curves of practical interest cannot be parameterized by arc length. An approximate numerical reparameterization technique that improves on a previous algorithm by using a different numerical integration procedure that recursively subdivides the ...
Brian Guenter, Richard E. Parent
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The arc length and topology of a random lemniscate
J. Lond. Math. Soc., 2017Summary: A polynomial lemniscate is a curve in the complex plane defined by \(\{z \in \mathbb{C}:|p(z)|=t\}\). \textit{P. Erdős} et al. [J. Anal. Math. 6, 125--148 (1958; Zbl 0088.25302)] posed the extremal problem of determining the maximum length of a lemniscate \(\Lambda=\{z \in \mathbb{C}:|p(z)|=1\}\) when \(p\) is a monic polynomial of degree \(n\)
Erik Lundberg, Koushik Ramachandran
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Arc-length based curvature estimator
Proceedings. 17th Brazilian Symposium on Computer Graphics and Image Processing, 2004Many applications of geometry processing and computer vision rely on geometric properties of curves, particularly their curvature. Several methods have been proposed to estimate the curvature of a planar curve, most of them for curves in digital spaces.
Thomas Lewiner +3 more
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Teaching Mathematics and its Applications, 2009
We consider how the arc length integral of the graph of a function in the plane is connected with the hyperbola and its rational parameterization.
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We consider how the arc length integral of the graph of a function in the plane is connected with the hyperbola and its rational parameterization.
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Specifying the arc length of Bézier curves
Computer Aided Geometric Design, 1993Das Anliegen dieser Arbeit ist die Gewinnung von Sätzen und Algorithmen zur Erzeugung von Bézier-Kurven \(f(t)\) \((0 \leq t\leq 1)\), die zwei gegebene Punkte \(P_ 1\), \(P_ 2\) der Ebene in Richtung gegebener Einheitsvektoren \(u_ 1\), \(u_ 2\) durchlaufen und zwischen \(P_ 1\) und \(P_ 2\) die vorgegebene Länge \(L > | P_ 1 P_ 2|\) besitzen ...
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Arc length stable method of GTAW based on adaptive Kalman filter
Journal of Manufacturing Processes, 2021Ting Lei, Youmin Rong
exaly
Arc length identification based on arc acoustic signals in GTA-WAAM process
International Journal of Advanced Manufacturing Technology, 2021Yuhua Cai, Fuyuan Zhang
exaly
Monitoring process stability in GTA additive manufacturing based on vision sensing of arc length
Measurement: Journal of the International Measurement Confederation, 2021Jun Xiong
exaly