Urban multitarget tracking via gas-kinetic dynamics models

Multitarget tracking in urban environments presents a major theoretical and practical challenge. A recently suggested approach is that of modeling traffic dynamics using the fluid-kinetic methods of traffic-flow theory (TFT). I propose use of the newer, more general, gas-kinetic (GK) approach to TFT...

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Main Author: Mahler, Ronald
Format: Conference Paper
Published: 2013
Online Access:http://hdl.handle.net/20.500.11937/55466
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author Mahler, Ronald
author_facet Mahler, Ronald
author_sort Mahler, Ronald
building Curtin Institutional Repository
collection Online Access
description Multitarget tracking in urban environments presents a major theoretical and practical challenge. A recently suggested approach is that of modeling traffic dynamics using the fluid-kinetic methods of traffic-flow theory (TFT). I propose use of the newer, more general, gas-kinetic (GK) approach to TFT. In GK, traffic flow is modeled as a one- or two-dimensional constrained gas. The paper demonstrates the following. (1) The foundational concept in GK-the "phase-space density"-is the same thing as the probability hypothesis density (PHD) of multitarget tracking theory. (2) The theoretically best-that-one-can do approach to TFT-based tracking is a PHD filter. (3) Better performance can be obtained by augmenting this PHD filter as a cardinalized PHD (CPHD) filter. A simple example is presented to illustrate how PHD/CPHD filters can be integrated with conventional macroscopic, mesoscopic, and microscopic TFT. © 2013 SPIE.
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spelling curtin-20.500.11937-554662017-09-13T16:10:51Z Urban multitarget tracking via gas-kinetic dynamics models Mahler, Ronald Multitarget tracking in urban environments presents a major theoretical and practical challenge. A recently suggested approach is that of modeling traffic dynamics using the fluid-kinetic methods of traffic-flow theory (TFT). I propose use of the newer, more general, gas-kinetic (GK) approach to TFT. In GK, traffic flow is modeled as a one- or two-dimensional constrained gas. The paper demonstrates the following. (1) The foundational concept in GK-the "phase-space density"-is the same thing as the probability hypothesis density (PHD) of multitarget tracking theory. (2) The theoretically best-that-one-can do approach to TFT-based tracking is a PHD filter. (3) Better performance can be obtained by augmenting this PHD filter as a cardinalized PHD (CPHD) filter. A simple example is presented to illustrate how PHD/CPHD filters can be integrated with conventional macroscopic, mesoscopic, and microscopic TFT. © 2013 SPIE. 2013 Conference Paper http://hdl.handle.net/20.500.11937/55466 10.1117/12.2015448 restricted
spellingShingle Mahler, Ronald
Urban multitarget tracking via gas-kinetic dynamics models
title Urban multitarget tracking via gas-kinetic dynamics models
title_full Urban multitarget tracking via gas-kinetic dynamics models
title_fullStr Urban multitarget tracking via gas-kinetic dynamics models
title_full_unstemmed Urban multitarget tracking via gas-kinetic dynamics models
title_short Urban multitarget tracking via gas-kinetic dynamics models
title_sort urban multitarget tracking via gas-kinetic dynamics models
url http://hdl.handle.net/20.500.11937/55466