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Relevant bibliographies by topics / Clotoid

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Journal articles

Academic literature on the topic 'Clotoid'

Author: Grafiati

Published: 28 May 2022

Last updated: 29 May 2022

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Journal articles on the topic "Clotoid"

1

Skrypnikov, A. V., E. V. Bystryantsev, V. S. Logoyda, and E. V. Chernyshova. "Designing a clotoid path by approximating a sequence of points using nonlinear programming methods." Proceedings of the Voronezh State University of Engineering Technologies 79, no. 2 (2017): 88–93. http://dx.doi.org/10.20914/2310-1202-2017-2-88-93.

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2

Kobryń, Andrzej, and Piotr Stachera. "S-Shaped Transition Curves as an Element of Reverse Curves in Road Design." Baltic Journal of Road and Bridge Engineering 14, no. 4 (2019): 484–503. http://dx.doi.org/10.7250/bjrbe.2019-14.454.

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A road designing involves horizontal and vertical alignment. The horizontal geometry is formed by straight and curvilinear sections that are traditionally formed using circular and transition curves (mainly the clothoid). Different geometric systems that are designed using circular and transition curves are between others circular curves with symmetrical or unsymmetrical clothoids, combined curves, oval curves and reverse curves. Designing these systems is quite complex. Therefore, so-called S-shaped transition curves are an alternative to traditional approaches. These curves are known from li

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3

Borovlev, Anton, Alexey Skrypnikov, Vyacheslav Kozlov, Tatyana Tyurikova, Oleg Tveritnev, and Vladimir Nikitin. "Mathematical Modeling of the Route of Logging Roads." Lesnoy Zhurnal (Forestry Journal), no. 4 (July 21, 2021): 150–61. http://dx.doi.org/10.37482/0536-1036-2021-4-150-161.

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The implementation of tasks related to the development of the transportation network as a whole and logging roads as an integral part of it requires scientifically based theoretical studies of the patterns of formation of spatial curves when combining elements of the plan and the longitudinal profile, since the rational laying of the route for many years determines its most important transport and operational characteristics (speed, traffic safety, traffic capacity). Consideration of the visual perception of the road by the driver will improve the quality of design decisions, which will allow

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4

König, T., A. Atmosudiro, A. Verl, and A. Lechler. "G2-stetiges Klothoidenüberschleifen*/G2-continuous clothoid smoothing – Results of a real-time smoothing process on the basis of piecewise defined clothoids." wt Werkstattstechnik online 109, no. 06 (2019): 491–95. http://dx.doi.org/10.37544/1436-4980-2019-06-93.

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Das Klothoidenüberschleifverfahren ermöglicht einen G2-stetigen Übergang zwischen NC (Numerical Control)-Sätzen bei linearem Krümmungsprofil. Zudem ist dieses Profil über die Verteilung der Klothoiden- und Kreissegmente steuerbar und bietet die Möglichkeit beispielsweise hinsichtlich der Vorschubgeschwindigkeit optimiert zu werden. Allgemein entstehen glattere Dynamikprofile, welche die Maschinenbelastung reduzieren oder höhere Bearbeitungsgeschwindigkeiten zulassen. &nbsp; The clothoid smoothing process enables a G2-continuous transition between NC blocks with a linear curvature profile.

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5

Lord, Nick. "Euler, the clothoid and." Mathematical Gazette 100, no. 548 (2016): 266–73. http://dx.doi.org/10.1017/mag.2016.63.

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One of the many definite integrals that Euler was the first to evaluate was(1)He did this, almost as an afterthought, at the end of his short, seven-page paper catalogued as E675 in [1] and with the matter-of-fact title,On the values of integrals from x = 0 to x = ∞. It is a beautiful Euler miniature which neatly illustrates the unexpected twists and turns in the history of mathematics. For Euler's derivation of (1) emerges as the by-product of a solution to a problem in differential geometry concerning the clothoid curve which he had first encountered nearly forty years earlier in his paper E

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6

Meek, D. S., and D. J. Walton. "Clothoid spline transition spirals." Mathematics of Computation 59, no. 199 (1992): 117. http://dx.doi.org/10.1090/s0025-5718-1992-1134736-8.

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7

McCrae, James, and Karan Singh. "Sketching piecewise clothoid curves." Computers & Graphics 33, no. 4 (2009): 452–61. http://dx.doi.org/10.1016/j.cag.2009.05.006.

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8

Walton, D. J., and D. S. Meek. "A controlled clothoid spline." Computers & Graphics 29, no. 3 (2005): 353–63. http://dx.doi.org/10.1016/j.cag.2005.03.008.

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9

Meek, D. S., and R. S. D. Thomas. "A guided clothoid spline." Computer Aided Geometric Design 8, no. 2 (1991): 163–74. http://dx.doi.org/10.1016/0167-8396(91)90042-a.

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10

LI, GUIQING, XIANMIN LI, and HUA LI. "DISCRETE CLOTHOID SPLINE SURFACES ON OPEN MESHES." International Journal of Image and Graphics 01, no. 04 (2001): 575–89. http://dx.doi.org/10.1142/s0219467801000384.

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By introducing a discrete Frenet frame, this paper first proposes 3D discrete clothoid splines to extend the planar discrete clothoid splines of Schneider and Kobbelt. On the basis of 3D discrete clothoid spline curves, discrete clothoid spline surfaces for arbitrary meshes are defined as a generalization of their closed discrete clothoid spline surfaces. Moreover, a discrete mean curvature normal operator instead of the conic surface fitting method is employed to compute curvature values. This induces a new iteration algorithm for generating the discrete clothoid spline surfaces. Since the cu

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