Voronoi densities for bicylists: adaptation for ﬁnite object size and speed

Victor L. Knoop; Flurin Hanseler; Marie-Jette Wierbos; Alexandra Gavriilidou; Winnie Daamen; Serge P. Hoogendoorn

doi:10.1007/978-3-030-55973-1_63

Voronoi densities for bicylists: adaptation for ﬁnite object size and speed

Victor L. Knoop, Flurin Hanseler, Marie-Jette Wierbos, Alexandra Gavriilidou, Winnie Daamen, Serge P. Hoogendoorn

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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Abstract

Density is one of the most relevant variables in a traffic flow description. For objects in 2 dimensions, density can be determined by the space that is allocated to each of the objects. This paper introduces a new way of computing the space available for a bicyclist, accounting for speed and accounting for the non-zero size of a bicycle. This changes local densities. The proposed method modifies the Voronoi densities, and assigns space to a bicycle. We assign space to bicycle A if it has a closer proximity to any point of bicycle A than any point of any other bicycle. The proximity is determined by the distance and the angle in relation to velocity of the bicycle. Specific proximity functions need to be formulated and calibrated to match cyclist behavior. This method helps to define a density level for cyclists, which in turn can for instance lead to a better indication of a Level of Service.

Original language	English
Title of host publication	Proceedings of Traffic and Granular Flow 2019
Editors	Iker Zuriguel, Angel Garcimartín, Raúl Cruz Hidalgo
Publisher	Springer
Chapter	63
Pages	515-521
Number of pages	7
ISBN (Print)	9783030559724
DOIs	https://doi.org/10.1007/978-3-030-55973-1_63
Publication status	Published - 2020
Event	13th Conference on Traffic and Granular Flow, TGF 2019 - Pamplona, Spain Duration: 2 Jul 2019 → 5 Jul 2019

Publication series

Name	Springer Proceedings in Physics
Volume	252
ISSN (Print)	0930-8989
ISSN (Electronic)	1867-4941

Conference

Conference	13th Conference on Traffic and Granular Flow, TGF 2019
Country/Territory	Spain
City	Pamplona
Period	2/07/19 → 5/07/19

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Bicyclist traffic
Density computation
Traffic flow
Voronoi areas
Voronoi densities

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10.1007/978-3-030-55973-1_63

Knoop2020_Chapter_VoronoiDensitiesForBicylistsAdFinal published version, 965 KB

Cite this

Knoop, V. L., Hanseler, F., Wierbos, M.-J., Gavriilidou, A., Daamen, W., & Hoogendoorn, S. P. (2020). Voronoi densities for bicylists: adaptation for ﬁnite object size and speed . In I. Zuriguel, A. Garcimartín, & R. Cruz Hidalgo (Eds.), Proceedings of Traffic and Granular Flow 2019 (pp. 515-521). (Springer Proceedings in Physics; Vol. 252). Springer. https://doi.org/10.1007/978-3-030-55973-1_63

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title = "Voronoi densities for bicylists: adaptation for ﬁnite object size and speed ",

abstract = "Density is one of the most relevant variables in a traffic flow description. For objects in 2 dimensions, density can be determined by the space that is allocated to each of the objects. This paper introduces a new way of computing the space available for a bicyclist, accounting for speed and accounting for the non-zero size of a bicycle. This changes local densities. The proposed method modifies the Voronoi densities, and assigns space to a bicycle. We assign space to bicycle A if it has a closer proximity to any point of bicycle A than any point of any other bicycle. The proximity is determined by the distance and the angle in relation to velocity of the bicycle. Specific proximity functions need to be formulated and calibrated to match cyclist behavior. This method helps to define a density level for cyclists, which in turn can for instance lead to a better indication of a Level of Service.",

keywords = "Bicyclist traffic, Density computation, Traffic flow, Voronoi areas, Voronoi densities",

author = "Knoop, {Victor L.} and Flurin Hanseler and Marie-Jette Wierbos and Alexandra Gavriilidou and Winnie Daamen and Hoogendoorn, {Serge P.}",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.; 13th Conference on Traffic and Granular Flow, TGF 2019 ; Conference date: 02-07-2019 Through 05-07-2019",

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doi = "10.1007/978-3-030-55973-1_63",

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series = "Springer Proceedings in Physics",

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pages = "515--521",

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Knoop, VL, Hanseler, F, Wierbos, M-J, Gavriilidou, A , Daamen, W & Hoogendoorn, SP 2020, Voronoi densities for bicylists: adaptation for ﬁnite object size and speed . in I Zuriguel, A Garcimartín & R Cruz Hidalgo (eds), Proceedings of Traffic and Granular Flow 2019. Springer Proceedings in Physics, vol. 252, Springer, pp. 515-521, 13th Conference on Traffic and Granular Flow, TGF 2019, Pamplona, Spain, 2/07/19. https://doi.org/10.1007/978-3-030-55973-1_63

Voronoi densities for bicylists: adaptation for ﬁnite object size and speed . / Knoop, Victor L.; Hanseler, Flurin; Wierbos, Marie-Jette et al.
Proceedings of Traffic and Granular Flow 2019. ed. / Iker Zuriguel; Angel Garcimartín; Raúl Cruz Hidalgo. Springer, 2020. p. 515-521 (Springer Proceedings in Physics; Vol. 252).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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AU - Knoop, Victor L.

AU - Hanseler, Flurin

AU - Wierbos, Marie-Jette

AU - Gavriilidou, Alexandra

AU - Daamen, Winnie

AU - Hoogendoorn, Serge P.

N1 - Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2020

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N2 - Density is one of the most relevant variables in a traffic flow description. For objects in 2 dimensions, density can be determined by the space that is allocated to each of the objects. This paper introduces a new way of computing the space available for a bicyclist, accounting for speed and accounting for the non-zero size of a bicycle. This changes local densities. The proposed method modifies the Voronoi densities, and assigns space to a bicycle. We assign space to bicycle A if it has a closer proximity to any point of bicycle A than any point of any other bicycle. The proximity is determined by the distance and the angle in relation to velocity of the bicycle. Specific proximity functions need to be formulated and calibrated to match cyclist behavior. This method helps to define a density level for cyclists, which in turn can for instance lead to a better indication of a Level of Service.

AB - Density is one of the most relevant variables in a traffic flow description. For objects in 2 dimensions, density can be determined by the space that is allocated to each of the objects. This paper introduces a new way of computing the space available for a bicyclist, accounting for speed and accounting for the non-zero size of a bicycle. This changes local densities. The proposed method modifies the Voronoi densities, and assigns space to a bicycle. We assign space to bicycle A if it has a closer proximity to any point of bicycle A than any point of any other bicycle. The proximity is determined by the distance and the angle in relation to velocity of the bicycle. Specific proximity functions need to be formulated and calibrated to match cyclist behavior. This method helps to define a density level for cyclists, which in turn can for instance lead to a better indication of a Level of Service.

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KW - Density computation

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KW - Voronoi areas

KW - Voronoi densities

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DO - 10.1007/978-3-030-55973-1_63

M3 - Conference contribution

SN - 9783030559724

T3 - Springer Proceedings in Physics

SP - 515

EP - 521

BT - Proceedings of Traffic and Granular Flow 2019

A2 - Zuriguel, Iker

A2 - Garcimartín, Angel

A2 - Cruz Hidalgo, Raúl

PB - Springer

Y2 - 2 July 2019 through 5 July 2019

ER -

Voronoi densities for bicylists: adaptation for ﬁnite object size and speed

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Bibliographical note

Keywords

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