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## Long-term Vehicle Motion Prediction

Citations: | 13 - 5 self |

### Citations

2394 | Mean shift: a robust approach toward feature space analysis.
- Comaniciu, Meer
- 2002
(Show Context)
Citation Context ...t states Ψ (s) t on the associated trajectories. This results in many hypotheses which often lie closely together. To condense this set into a small number of hypotheses, we apply a mean shift method =-=[16]-=-, [17]. The key idea is to estimate the local densities of the predicted states φ (s) T by constructing a kernel over each state and then to shift the states iteratively towards higher densities with ... |

281 |
Using dynamic time warping to find patterns in time series
- Berndt, Clifford
- 1994
(Show Context)
Citation Context ... signatures [8]. Matching methods based on string matching techniques for raw trajectories (i.e. without change in representation) have been proven to be successful. Examples are Dynamic Time Warping =-=[9]-=-, the Longest Common Subsequence [10], and the Levenshtein Distance on Trajectories [5]. We will further explore this idea in the following sections. A concept strongly related to the topic of traject... |

201 | Implicit probabilistic models of human motion for synthesis and tracking.
- Sidenbladh, Black, et al.
- 2002
(Show Context)
Citation Context ...based on trajectories is more widely used. Echo State Networks are applied in [3] to obtain a motion prediction of a robotic system in local surroundings with main focus on real-time applications. In =-=[4]-=-, a body-tracking system is presented where the motion is predicted with a particle filter approach based on a motion database. Similarly, a set of motion hypotheses is used in [5] to track a hand-for... |

124 | A probabilistic framework for matching temporal trajectories: Condensation-based recognition of gestures and expressions
- Black, Jepson
- 1998
(Show Context)
Citation Context ...|Ψt−1)p(Ψt−1|M1:t−1) dΨt−1 (16) with η as a normalisation constant. This distribution is represented by a set of samples or particles {Ψ (s) t }S, which are propagated in time using a particle filter =-=[15]-=-. Therefore, each particle Ψ (s) t represents a sub-trajectory for the current state. The distribution p(M1:t|Ψt) represents the likelihood that the measurement trajectory M1:t can be observed when th... |

109 |
Pattern Classification: A Unified View Of Statistical And Neural Approaches,
- Schurmann
- 1996
(Show Context)
Citation Context ... each trajectory as a feature vector of length n. These vectors are used as input to a standard classifier architecture. For this purpose, we applied the well-known second-order polynomial classifier =-=[14]-=- with ideal output vectors τ = [1, 0] for trajectories of class “turn left” and τ = [0, 1] for trajectories of class “straight on”. This straightforward feature extraction and classification approach,... |

54 | Classifying spatiotemporal object trajectories using unsupervised learning in the coefficient feature space,
- Naftel, Khalid
- 2006
(Show Context)
Citation Context ...is an efficient matching technique to compare the vehicle history with the dataset. A lot of research has been done in this field, starting from different representations, e.g. polynomial descriptors =-=[6]-=-, turning angle representation [7], and curve signatures [8]. Matching methods based on string matching techniques for raw trajectories (i.e. without change in representation) have been proven to be s... |

31 | A coarse-to-fine strategy for vehicle motion trajectory clustering,
- Li, Hu, et al.
- 2006
(Show Context)
Citation Context ...lated to the topic of trajectory matching are classifiers applied to trajectories. Often a trajectory is converted into a feature representation, such that it can be processed by standard classifiers =-=[11]-=-. III. TRAJECTORIES Motion patterns are the core issue of this study. We present them as trajectories X which consist of ordered tuples X = ((x1, t1), . . . , (xN, tN)) combining states xi with a time... |

29 | Partial matching of planar polylines under similarity transformations
- COHEN, GUIBAS
- 1997
(Show Context)
Citation Context ... to compare the vehicle history with the dataset. A lot of research has been done in this field, starting from different representations, e.g. polynomial descriptors [6], turning angle representation =-=[7]-=-, and curve signatures [8]. Matching methods based on string matching techniques for raw trajectories (i.e. without change in representation) have been proven to be successful. Examples are Dynamic Ti... |

29 |
On the orthogonal transformation used for structural comparisons.
- KEARSLEY
- 1989
(Show Context)
Citation Context ... to be an adequate metric and can handle these stated requirements, except the last two issues. We thus adopted the LCS metric and applied the property of rotational invariance by using the method in =-=[12]-=- which finds the optimal orthogonal transformation to superimpose two point sets based on quaternions. B. Longest Common Subsequence (LCS) The LCS metric originates in the field of string matching alg... |

20 |
Statistical threat assessment for general road scenes using Monte Carlo sampling,”
- Eidehall, Petersson
- 2008
(Show Context)
Citation Context ...ased on a set of labelled trajectories. II. RELATED WORK To our knowledge, the problem of predicting a vehicle state several seconds into the future has not yet been addressed by many researchers. In =-=[1]-=- an explicit motion model is used to gain a stochastic threat assessment of road objects populating the environment. Similarly, in [2] a motion model is learned from given trajectories using a cluster... |

20 | Kernel Particle Filter for Real-Time 3D Body Tracking in Monocular Color Images. In:
- Schmidt, Kwolek, et al.
- 2006
(Show Context)
Citation Context ...es Ψ (s) t on the associated trajectories. This results in many hypotheses which often lie closely together. To condense this set into a small number of hypotheses, we apply a mean shift method [16], =-=[17]-=-. The key idea is to estimate the local densities of the predicted states φ (s) T by constructing a kernel over each state and then to shift the states iteratively towards higher densities with the me... |

17 |
Elastic translation invariant matching of trajectories,”
- M, G, et al.
- 2005
(Show Context)
Citation Context ...sed on string matching techniques for raw trajectories (i.e. without change in representation) have been proven to be successful. Examples are Dynamic Time Warping [9], the Longest Common Subsequence =-=[10]-=-, and the Levenshtein Distance on Trajectories [5]. We will further explore this idea in the following sections. A concept strongly related to the topic of trajectory matching are classifiers applied ... |

15 | Avoiding cars and pedestrians using velocity obstacles and motion prediction.
- Large, Vasquez, et al.
- 2004
(Show Context)
Citation Context ...nto the future has not yet been addressed by many researchers. In [1] an explicit motion model is used to gain a stochastic threat assessment of road objects populating the environment. Similarly, in =-=[2]-=- a motion model is learned from given trajectories using a clustering technique to predict the object’s behaviour. In the field of body-tracking, motion prediction based on trajectories is more widely... |

9 |
3D trajectory matching by pose normalization
- Croitoru, Agouris, et al.
(Show Context)
Citation Context ...story with the dataset. A lot of research has been done in this field, starting from different representations, e.g. polynomial descriptors [6], turning angle representation [7], and curve signatures =-=[8]-=-. Matching methods based on string matching techniques for raw trajectories (i.e. without change in representation) have been proven to be successful. Examples are Dynamic Time Warping [9], the Longes... |

6 | 3d action recognition and long-term prediction of human motion
- Hahn, Krueger, et al.
- 2008
(Show Context)
Citation Context ...me applications. In [4], a body-tracking system is presented where the motion is predicted with a particle filter approach based on a motion database. Similarly, a set of motion hypotheses is used in =-=[5]-=- to track a hand-forearm model of a worker in an industrial scenario. A key to predict motion based on trajectories is an efficient matching technique to compare the vehicle history with the dataset. ... |

2 | Echo state networks for online prediction of movement data—comparing investigations
- Hellbach, Strauss, et al.
- 2008
(Show Context)
Citation Context ...ectories using a clustering technique to predict the object’s behaviour. In the field of body-tracking, motion prediction based on trajectories is more widely used. Echo State Networks are applied in =-=[3]-=- to obtain a motion prediction of a robotic system in local surroundings with main focus on real-time applications. In [4], a body-tracking system is presented where the motion is predicted with a par... |