A Unified Analytical Framework for Ship Domains

Abstract

Most of the existing typical ship domains have been comprehensively reviewed and classified. Most of these ship domains are described in a geometrical manner that is difficult to apply to practices and simulations in marine traffic engineering. According to different types of geometrical ship domains, we have proposed mathematical models, based on which a unified analytical framework has been established. It is feasible and practical for the analytical models to be applied to the assessment of navigational safety, collision avoidance and trajectory planning, etc. Finally, some computer simulations and comparative studies of the proposed domain model have been presented and the simulation results show that the uniform analytical framework for ship domains is effective and identical to the original geometrical ones. It should be noted that the analytical domain models could be directly applied in any collision risk, collision avoidance or VTS system while the geometrical ones would be more illustrative but less practical or analytical.

Ship Domain as a Safety Criterion in a Precautionary Area of Traffic Separation Scheme

“…There are a number of methods for domain determination (Fuji & Tanaka 1971, Zhao et al 1993, Rutkowski 1998, Smierzchalski & Weintrit 1999, Zhu et al 2001, Pietrzykowski 2008, Pietrzykowski & Uriasz 2009, Wang et al 2009, Wielgosz & Pietrzykowski 2012, Hansen et al 2013, Wang 2013. These are mainly analytical, statistical and artificial intelligence methods.…”

An Automatic Navigation System for Unmanned Surface Vehicles in Realistic Sea Environments

“…Each pixel represents 1 m. According to the improved GoodWin ship domain model by Davis, when the obstacles are extended by a distance of half the ship's length, the ship can be seen as a particle [31]. Hence, the simulation environment is extended by a distance of half the USV's length, and added to the one-pixel-wide boundary in Figure 2b.…”

“…The shape of the ship domain is usually circular, and its center is located at the instantaneous position of the target [31]. However, when the target vessel speed is high, the collision risk of bow direction is greater than in the abeam and stern directions.…”

Identifying and Analyzing Safety Critical Maneuvers from High Resolution AIS Data

“…The sizes and shapes of theses domains range from very simple to quite complex structures, some are circular, elliptical or polygonal, some are static, and others are dynamically resized depending on the speed of the vessel, e.g. Fujii & Tanaka (1971), Goodwin (1975), Coldwell (1983, Zhao et al (1993), Pedersen (1995), Mestl et al (2008), Pietrzykowski (2008), Pietrzykowski & Uriasz (2009), Wang et al (2009), Zhang et al (2015 in order to make the term "near collision" and "comfort zone" more tangible and quantifiable.…”