Visualizing and gauging collision risk

Max Mendel; Pieter van Gelder

Visualizing and gauging collision risk

Safety and Security Science

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

Abstract

We propose a new definition of collision risk that we call projective risk that is based on human perception.We showhowvarious collision scenarios can be modelled in a unified manner on the Riemann Sphere using projective and hyperbolic geometry. From this we show how a practical gauge for risk can be developed that we call the Risk Watch. Lastly, we show how the general problem of ship collision risk can be modelled using projective geometry and the cross ratio.

Original language	English
Title of host publication	Risk, Reliability and Safety: Innovating Theory and Practice
Subtitle of host publication	Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016
Editors	L. Walls, M. Revie, T. Bedford
Publisher	CRC Press / Balkema - Taylor & Francis Group
Pages	2877–2883
ISBN (Electronic)	978-1-4987-8898-4
ISBN (Print)	978-1-138-02997-2
Publication status	Published - 2016
Event	26th European Safety and Reliability Conference: Risk, reliability and safety: innovating theory and practice - Glasgow, United Kingdom Duration: 25 Sept 2016 → 29 Sept 2016

Conference

Conference	26th European Safety and Reliability Conference
Abbreviated title	ESREL 2016
Country/Territory	United Kingdom
City	Glasgow
Period	25/09/16 → 29/09/16

Cite this

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title = "Visualizing and gauging collision risk",

abstract = "We propose a new definition of collision risk that we call projective risk that is based on human perception.We showhowvarious collision scenarios can be modelled in a unified manner on the Riemann Sphere using projective and hyperbolic geometry. From this we show how a practical gauge for risk can be developed that we call the Risk Watch. Lastly, we show how the general problem of ship collision risk can be modelled using projective geometry and the cross ratio.",

author = "Max Mendel and {van Gelder}, Pieter",

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editor = "L. Walls and M. Revie and T. Bedford",

booktitle = "Risk, Reliability and Safety: Innovating Theory and Practice",

publisher = "CRC Press / Balkema - Taylor & Francis Group",

note = "26th European Safety and Reliability Conference : Risk, reliability and safety: innovating theory and practice, ESREL 2016 ; Conference date: 25-09-2016 Through 29-09-2016",

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Mendel, M & van Gelder, P 2016, Visualizing and gauging collision risk. in L Walls, M Revie & T Bedford (eds), Risk, Reliability and Safety: Innovating Theory and Practice : Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016. CRC Press / Balkema - Taylor & Francis Group, pp. 2877–2883, 26th European Safety and Reliability Conference, Glasgow, United Kingdom, 25/09/16.

Visualizing and gauging collision risk. / Mendel, Max ; van Gelder, Pieter.
Risk, Reliability and Safety: Innovating Theory and Practice : Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016. ed. / L. Walls; M. Revie; T. Bedford. CRC Press / Balkema - Taylor & Francis Group, 2016. p. 2877–2883.

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

TY - GEN

T1 - Visualizing and gauging collision risk

AU - Mendel, Max

AU - van Gelder, Pieter

PY - 2016

Y1 - 2016

N2 - We propose a new definition of collision risk that we call projective risk that is based on human perception.We showhowvarious collision scenarios can be modelled in a unified manner on the Riemann Sphere using projective and hyperbolic geometry. From this we show how a practical gauge for risk can be developed that we call the Risk Watch. Lastly, we show how the general problem of ship collision risk can be modelled using projective geometry and the cross ratio.

AB - We propose a new definition of collision risk that we call projective risk that is based on human perception.We showhowvarious collision scenarios can be modelled in a unified manner on the Riemann Sphere using projective and hyperbolic geometry. From this we show how a practical gauge for risk can be developed that we call the Risk Watch. Lastly, we show how the general problem of ship collision risk can be modelled using projective geometry and the cross ratio.

UR - http://dx.doi.org/10.1201/9781315374987-437

M3 - Conference contribution

SN - 978-1-138-02997-2

SP - 2877

EP - 2883

BT - Risk, Reliability and Safety: Innovating Theory and Practice

A2 - Walls, L.

A2 - Revie, M.

A2 - Bedford, T.

PB - CRC Press / Balkema - Taylor & Francis Group

T2 - 26th European Safety and Reliability Conference

Y2 - 25 September 2016 through 29 September 2016

ER -

Visualizing and gauging collision risk

Abstract

Conference

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