changes by toni
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@@ -13,12 +13,12 @@ Kalman filters is therefore problematic \cite{sarkka2013bayesian, Nurminen2014}.
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All this shows, that sensor models differ in many ways and are a subject in itself.
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A good discussion on different sensor models can be found in \cite{Yang2015} or \cite{Khaleghi2013}.
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However, within this work, we use simple models, configured using a handful of empirically chosen parameters and
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However, within this work, we utilize simple models, configured using a handful of empirically chosen parameters and
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address their inaccuracies by harnessing prior information like the pedestrian's desired destination. Therefore,
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instead of examining different sensors and their contribution to the localisation process, we will focus
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on the state transition and how to incorporate environmental and navigational knowledge.
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A widely used and easy method for modelling the movement of a pedestrian, is the prediction of a new position
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A widely used and straightforward method for modelling the movement of a pedestrian, is the prediction of a new position
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using both, a walking direction and a to-be-walked distance, starting from the previous position.
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If the line-of-sight between the new and the old position intersects a wall, the probability for this
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transition is set to zero \cite{Blanchert09-IFF, Koeping14-ILU}.
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@@ -45,15 +45,15 @@ Nevertheless, most corridors are still represented by just one topological link.
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While the complexity is reduced, it does not allow arbitrary movements and leads to suboptimal trajectories.
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Far more flexible and variable geometric spatial models are regularly tessellated approaches e.g. based on grids.
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Those techniques are trivially implemented, but yet very powerful.
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In \cite{Afyouni2012}, a square-shaped or hexagonal grid covers the entire map.
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In \cite{Afyouni2012} a square-shaped or hexagonal grid covers the entire map.
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Especially in the area of simultaneous localisation and mapping (SLAM), so-called occupancy-grid approaches are
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very popular \cite{elfes1989using, Thrun2003}.
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Occupancy grids assign a high probability to cells within the accessible space.
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Likewise, cells occupied by obstacles or walls are less likely.
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Additionally, every grid cell is able to hold some context information about the environment (e.g. elevators or stairs)
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Every grid cell is able to hold some context information about the environment (e.g. elevators or stairs)
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or the behaviour of a pedestrian at this particular position (e.g. jumping or running).
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A similar approach, presented in \cite{Li2010}, \cite{Ebner-15}, is also used within this work.
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A similar approach, presented in \cite{Li2010}, is also used within this work.
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Assuming the floorplan is given beforehand, occupied cells can be removed.
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The remaining cells are described by their centre/bounding-box and represent free spaces within the environment.
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A graph is defined by using the centres as nodes and connecting direct neighbours with edges.
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