ebertolazzi/Clothoids

Versione 2.0.12 (38,2 MB) da Enrico Bertolazzi

G1 and G2 fitting with clothoids, circle and biarc

https://github.com/ebertolazzi/Clothoids/releases

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Aggiornato 20 gen 2025

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G1 and G2 fitting with clothoids, spline of clothods, circle arc and biarc

by Enrico Bertolazzi and Marco Frego

for the documentation see https://ebertolazzi.github.io/Clothoids/

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Enrico Bertolazzi (2025). ebertolazzi/Clothoids (https://github.com/ebertolazzi/Clothoids), GitHub. Recuperato febbraio 17, 2025.

Bertolazzi, Enrico, and Marco Frego. “\Lessi\GreaterG\Less/i\Greater \Lesssup\greater1\Less/Sup\Greater Fitting with Clothoids.” Mathematical Methods in the Applied Sciences, vol. 38, no. 5, Wiley, Mar. 2014, pp. 881–97, doi:10.1002/mma.3114.

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Bertolazzi, Enrico, and Marco Frego. “On the \Lessmml:Math Xmlns:Mml=‘Http://Www.w3.Org/1998/Math/MathML’ Id=‘mml15’ Display=‘Inline’ Overflow=‘Scroll’ Altimg=‘si1.Gif’\Greater\Lessmml:Msup\Greater\Lessmml:Mrow\Greater\Lessmml:Mi\GreaterG\Less/Mml:Mi\Greater\Less/Mml:Mrow\Greater\Lessmml:Mrow\Greater\Lessmml:Mn\greater2\Less/Mml:Mn\Greater\Less/Mml:Mrow\Greater\Less/Mml:Msup\Greater\Less/Mml:Math\Greater Hermite Interpolation Problem with Clothoids.” Journal of Computational and Applied Mathematics, vol. 341, Elsevier BV, Oct. 2018, pp. 99–116, doi:10.1016/j.cam.2018.03.029.

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Bertolazzi, Enrico, and Marco Frego. “Interpolating Clothoid Splines with Curvature Continuity.” Mathematical Methods in the Applied Sciences, vol. 41, no. 4, Wiley, Dec. 2017, pp. 1723–37, doi:10.1002/mma.4700.

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Frego, Marco, and Enrico Bertolazzi. “Point-Clothoid Distance and Projection Computation.” SIAM Journal on Scientific Computing, vol. 41, no. 5, Society for Industrial & Applied Mathematics (SIAM), Jan. 2019, pp. A3326–A3353, doi:10.1137/18m1200439.

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E. Bertolazzi, M. Frego A Note on Robust Biarc Computation, Computer-Aided Design & Applications 16 (5), 822-835 http://www.cad-journal.net/files/vol_16/CAD_16(5)_2019_822-835.pdf

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Le versioni che utilizzano il ramo predefinito di GitHub non possono essere scaricate

Versione	Pubblicato	Note della release
2.0.12	20 gen 2025	Removed some error in 3 arc clothoid splines.
2.0.9	27 dic 2022	corrected closest point search in range.
2.0.8	25 giu 2021	updated to compile with mingw and visual studio on WINDOWS
2.0.4	26 mag 2021	added submodules files to toolbox
2.0.3	16 gen 2021	Added files from submodules on the toolbox
2.0.1	16 gen 2021	Added Toolbox support
2.0.0.0	17 set 2020	The new interface use MATLAB classes for an Object Oriented interface.
1.0.0.0	9 lug 2018

Per visualizzare o segnalare problemi su questo componente aggiuntivo di GitHub, visita GitHub Repository.

MLA	Bertolazzi, Enrico, and Marco Frego. “\Lessi\GreaterG\Less/i\Greater \Lesssup\greater1\Less/Sup\Greater Fitting with Clothoids.” Mathematical Methods in the Applied Sciences, vol. 38, no. 5, Wiley, Mar. 2014, pp. 881–97, doi:10.1002/mma.3114.
APA	Bertolazzi, E., & Frego, M. (2014). \lessi\greaterG\less/i\greater \lesssup\greater1\less/sup\greater fitting with clothoids. Mathematical Methods in the Applied Sciences, 38(5), 881–897. Wiley. Retrieved from https://doi.org/10.1002%2Fmma.3114
BibTeX	@article{Bertolazzi_2014, doi = {10.1002/mma.3114}, url = {https://doi.org/10.1002%2Fmma.3114}, year = 2014, month = {mar}, publisher = {Wiley}, volume = {38}, number = {5}, pages = {881--897}, author = {Enrico Bertolazzi and Marco Frego}, title = {$\less$i$\greater$G$\less$/i$\greater$ $\less$sup$\greater$1$\less$/sup$\greater$ fitting with clothoids}, journal = {Mathematical Methods in the Applied Sciences} }

MLA	Bertolazzi, Enrico, and Marco Frego. “On the \Lessmml:Math Xmlns:Mml=‘Http://Www.w3.Org/1998/Math/MathML’ Id=‘mml15’ Display=‘Inline’ Overflow=‘Scroll’ Altimg=‘si1.Gif’\Greater\Lessmml:Msup\Greater\Lessmml:Mrow\Greater\Lessmml:Mi\GreaterG\Less/Mml:Mi\Greater\Less/Mml:Mrow\Greater\Lessmml:Mrow\Greater\Lessmml:Mn\greater2\Less/Mml:Mn\Greater\Less/Mml:Mrow\Greater\Less/Mml:Msup\Greater\Less/Mml:Math\Greater Hermite Interpolation Problem with Clothoids.” Journal of Computational and Applied Mathematics, vol. 341, Elsevier BV, Oct. 2018, pp. 99–116, doi:10.1016/j.cam.2018.03.029.
APA	Bertolazzi, E., & Frego, M. (2018). On the \lessmml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml15" display="inline" overflow="scroll" altimg="si1.gif"\greater\lessmml:msup\greater\lessmml:mrow\greater\lessmml:mi\greaterG\less/mml:mi\greater\less/mml:mrow\greater\lessmml:mrow\greater\lessmml:mn\greater2\less/mml:mn\greater\less/mml:mrow\greater\less/mml:msup\greater\less/mml:math\greater Hermite Interpolation Problem with clothoids. Journal of Computational and Applied Mathematics, 341, 99–116. Elsevier BV. Retrieved from https://doi.org/10.1016%2Fj.cam.2018.03.029
BibTeX	@article{Bertolazzi_2018, doi = {10.1016/j.cam.2018.03.029}, url = {https://doi.org/10.1016%2Fj.cam.2018.03.029}, year = 2018, month = {oct}, publisher = {Elsevier {BV}}, volume = {341}, pages = {99--116}, author = {Enrico Bertolazzi and Marco Frego}, title = {On the $\less$mml:math xmlns:mml="http://www.w3.org/1998/Math/{MathML}" id="mml15" display="inline" overflow="scroll" altimg="si1.gif"$\greater$$\less$mml:msup$\greater$$\less$mml:mrow$\greater$$\less$mml:mi$\greater$G$\less$/mml:mi$\greater$$\less$/mml:mrow$\greater$$\less$mml:mrow$\greater$$\less$mml:mn$\greater$2$\less$/mml:mn$\greater$$\less$/mml:mrow$\greater$$\less$/mml:msup$\greater$$\less$/mml:math$\greater$ Hermite Interpolation Problem with clothoids}, journal = {Journal of Computational and Applied Mathematics} }

MLA	Bertolazzi, Enrico, and Marco Frego. “Interpolating Clothoid Splines with Curvature Continuity.” Mathematical Methods in the Applied Sciences, vol. 41, no. 4, Wiley, Dec. 2017, pp. 1723–37, doi:10.1002/mma.4700.
APA	Bertolazzi, E., & Frego, M. (2017). Interpolating clothoid splines with curvature continuity. Mathematical Methods in the Applied Sciences, 41(4), 1723–1737. Wiley. Retrieved from https://doi.org/10.1002%2Fmma.4700
BibTeX	@article{Bertolazzi_2017, doi = {10.1002/mma.4700}, url = {https://doi.org/10.1002%2Fmma.4700}, year = 2017, month = {dec}, publisher = {Wiley}, volume = {41}, number = {4}, pages = {1723--1737}, author = {Enrico Bertolazzi and Marco Frego}, title = {Interpolating clothoid splines with curvature continuity}, journal = {Mathematical Methods in the Applied Sciences} }

MLA	Frego, Marco, and Enrico Bertolazzi. “Point-Clothoid Distance and Projection Computation.” SIAM Journal on Scientific Computing, vol. 41, no. 5, Society for Industrial & Applied Mathematics (SIAM), Jan. 2019, pp. A3326–A3353, doi:10.1137/18m1200439.
APA	Frego, M., & Bertolazzi, E. (2019). Point-Clothoid Distance and Projection Computation. SIAM Journal on Scientific Computing, 41(5), A3326–A3353. Society for Industrial & Applied Mathematics (SIAM). Retrieved from https://doi.org/10.1137%2F18m1200439
BibTeX	@article{Frego_2019, doi = {10.1137/18m1200439}, url = {https://doi.org/10.1137%2F18m1200439}, year = 2019, month = {jan}, publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})}, volume = {41}, number = {5}, pages = {A3326--A3353}, author = {Marco Frego and Enrico Bertolazzi}, title = {Point-Clothoid Distance and Projection Computation}, journal = {{SIAM} Journal on Scientific Computing} }

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