Visualizing and gauging collision risk

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review


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 languageEnglish
Title of host publicationRisk, Reliability and Safety: Innovating Theory and Practice
Subtitle of host publicationProceedings of the 26th European Safety and Reliability Conference, ESREL 2016
EditorsL. Walls, M. Revie, T. Bedford
PublisherCRC Press / Balkema - Taylor & Francis Group
ISBN (Electronic)978-1-4987-8898-4
ISBN (Print)978-1-138-02997-2
Publication statusPublished - 2016
Event26th European Safety and Reliability Conference: Risk, reliability and safety: innovating theory and practice - Glasgow, United Kingdom
Duration: 25 Sep 201629 Sep 2016


Conference26th European Safety and Reliability Conference
Abbreviated titleESREL 2016
Country/TerritoryUnited Kingdom


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