Improvement construction for planar G2 transition curve between two separated circles

Zhong Li; Lizhuang Ma; Mingxi Zhao; Zhihong Mao

doi:10.1007/11758525_47

Improvement construction for planar G2 transition curve between two separated circles

Zhong Li^*
, Lizhuang Ma
, Mingxi Zhao
, Zhihong Mao

^*Corresponding author for this work

Zhejiang Sci-Tech University
Shanghai Jiao Tong University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

Abstract

In this paper, we use the undetermined coefficient method to find a desirable pair of cubic Bezier spirals and a desirable pair of quintic PH spirals to generate planar G2 transition curve between two separated circles. The G2 transition curve can be gotten by the rooting formula, which simplifies the computation, and the ratio of two radii has no restriction, which extends the application area.

Original language	English
Title of host publication	Computational Science - ICCS 2006
Subtitle of host publication	6th International Conference, Proceedings
Publisher	Springer Verlag
Pages	358-361
Number of pages	4
ISBN (Print)	3540343814, 9783540343813
DOIs	https://doi.org/10.1007/11758525_47
State	Published - 2006
Externally published	Yes
Event	ICCS 2006: 6th International Conference on Computational Science - Reading, United Kingdom Duration: 28 May 2006 → 31 May 2006

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3992 LNCS - II
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	ICCS 2006: 6th International Conference on Computational Science
Country/Territory	United Kingdom
City	Reading
Period	28/05/06 → 31/05/06

Access to Document

10.1007/11758525_47

Cite this

Li, Z., Ma, L., Zhao, M., & Mao, Z. (2006). Improvement construction for planar G2 transition curve between two separated circles. In Computational Science - ICCS 2006: 6th International Conference, Proceedings (pp. 358-361). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3992 LNCS - II). Springer Verlag. https://doi.org/10.1007/11758525_47

Li, Zhong ; Ma, Lizhuang ; Zhao, Mingxi et al. / Improvement construction for planar G2 transition curve between two separated circles. Computational Science - ICCS 2006: 6th International Conference, Proceedings. Springer Verlag, 2006. pp. 358-361 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Improvement construction for planar G2 transition curve between two separated circles",

abstract = "In this paper, we use the undetermined coefficient method to find a desirable pair of cubic Bezier spirals and a desirable pair of quintic PH spirals to generate planar G2 transition curve between two separated circles. The G2 transition curve can be gotten by the rooting formula, which simplifies the computation, and the ratio of two radii has no restriction, which extends the application area.",

author = "Zhong Li and Lizhuang Ma and Mingxi Zhao and Zhihong Mao",

year = "2006",

doi = "10.1007/11758525\_47",

language = "英语",

isbn = "3540343814",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "358--361",

booktitle = "Computational Science - ICCS 2006",

address = "德国",

note = "ICCS 2006: 6th International Conference on Computational Science ; Conference date: 28-05-2006 Through 31-05-2006",

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Li, Z, Ma, L, Zhao, M & Mao, Z 2006, Improvement construction for planar G2 transition curve between two separated circles. in Computational Science - ICCS 2006: 6th International Conference, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3992 LNCS - II, Springer Verlag, pp. 358-361, ICCS 2006: 6th International Conference on Computational Science, Reading, United Kingdom, 28/05/06. https://doi.org/10.1007/11758525_47

Improvement construction for planar G2 transition curve between two separated circles. / Li, Zhong; Ma, Lizhuang; Zhao, Mingxi et al.
Computational Science - ICCS 2006: 6th International Conference, Proceedings. Springer Verlag, 2006. p. 358-361 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3992 LNCS - II).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Ma, Lizhuang

AU - Zhao, Mingxi

AU - Mao, Zhihong

PY - 2006

Y1 - 2006

N2 - In this paper, we use the undetermined coefficient method to find a desirable pair of cubic Bezier spirals and a desirable pair of quintic PH spirals to generate planar G2 transition curve between two separated circles. The G2 transition curve can be gotten by the rooting formula, which simplifies the computation, and the ratio of two radii has no restriction, which extends the application area.

AB - In this paper, we use the undetermined coefficient method to find a desirable pair of cubic Bezier spirals and a desirable pair of quintic PH spirals to generate planar G2 transition curve between two separated circles. The G2 transition curve can be gotten by the rooting formula, which simplifies the computation, and the ratio of two radii has no restriction, which extends the application area.

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U2 - 10.1007/11758525_47

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M3 - 会议稿件

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SN - 3540343814

SN - 9783540343813

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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EP - 361

BT - Computational Science - ICCS 2006

PB - Springer Verlag

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ER -

Li Z, Ma L, Zhao M, Mao Z. Improvement construction for planar G2 transition curve between two separated circles. In Computational Science - ICCS 2006: 6th International Conference, Proceedings. Springer Verlag. 2006. p. 358-361. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11758525_47

Improvement construction for planar G2 transition curve between two separated circles

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