Trail interpolation
First Claim
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1. A method comprising:
- collecting a plurality of probe data from a plurality of probe points by a probing device of a navigation device moving along at least one road segment, said probe data comprising at least positional information, a speed vector and a direction of travel of the probing device and a timestamp of recording the probe data at a probe point, wherein for said probe points at a recording time of the probe data, the speed vector of the probing device corresponds to a continuous first derivative of a trajectory of the probing device and acceleration of the probing device corresponds to a second derivative of the trajectory of the probing device with the second derivative having a continuous value;
estimating a trajectory of the probing device between two consecutive probe points by determining a data set representing an estimate of an actual trajectory of the probing device on the basis of two or more consecutive probe points fulfilling a requirement of continuous values for the first and second derivatives of the trajectory of the probing device and applying a polynomial interpolation of at least degree of five on said data set;
providing a digital map comprising the at least one road segment; and
displaying the estimated trajectory of the probing device of the navigation device along with the digital map on a display of the navigation device.
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Abstract
A method comprising: collecting a plurality of probe data from a plurality of probe points by a probing device, said probe data comprising at least positional information, a speed vector and a direction of travel of the probing device and a timestamp of recording the probe data at a probe point; and estimating a trajectory of the probing device between two consecutive probe points as a cubic Hermite spline having the positions of said two consecutive probe points as control points and the speed vectors of said two consecutive probe points as control vectors.
25 Citations
20 Claims
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1. A method comprising:
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collecting a plurality of probe data from a plurality of probe points by a probing device of a navigation device moving along at least one road segment, said probe data comprising at least positional information, a speed vector and a direction of travel of the probing device and a timestamp of recording the probe data at a probe point, wherein for said probe points at a recording time of the probe data, the speed vector of the probing device corresponds to a continuous first derivative of a trajectory of the probing device and acceleration of the probing device corresponds to a second derivative of the trajectory of the probing device with the second derivative having a continuous value; estimating a trajectory of the probing device between two consecutive probe points by determining a data set representing an estimate of an actual trajectory of the probing device on the basis of two or more consecutive probe points fulfilling a requirement of continuous values for the first and second derivatives of the trajectory of the probing device and applying a polynomial interpolation of at least degree of five on said data set; providing a digital map comprising the at least one road segment; and displaying the estimated trajectory of the probing device of the navigation device along with the digital map on a display of the navigation device. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9)
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10. An apparatus comprising at least one processor, memory including computer program code, and a probing device of a navigation device, the memory and the computer program code being configured to, with the at least one processor, cause the apparatus to at least:
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collect a plurality of probe data from a plurality of probe points by said probing device of the navigation device moving along at least one road segment, said probe data comprising at least positional information, a speed vector and a direction of travel of the probing device and a timestamp of recording the probe data at a probe point, wherein for said probe points at a recording time of the probe data, the speed vector of the probing device corresponds to a continuous first derivative of a trajectory of the probing device and acceleration of the probing device corresponds to a second derivative of the trajectory of the probing device with the second derivative having a continuous value; estimate a trajectory of the probing device between two consecutive probe points by determining a data set representing an estimate of an actual trajectory of the probing device on the basis of two or more consecutive probe points fulfilling a requirement of continuous values for the first and second derivatives of the trajectory of the probing device and applying a polynomial interpolation of at least degree of five on said data set; provide a digital map comprising the at least one road segment; and display the estimated trajectory of the probing device of the navigation device along with the digital map on a display of the navigation device. - View Dependent Claims (11, 12, 13, 14, 15, 16, 17)
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18. A non-transitory computer readable storage medium stored with code thereon for use by an apparatus, which when executed by a processor, causes the apparatus to perform:
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collecting a plurality of probe data from a plurality of probe points by a probing device of a navigation device moving along at least one road segment, said probe data comprising at least positional information, a speed vector and a direction of travel of the probing device and a timestamp of recording the probe data at a probe point, wherein for said probe points at a recording time of the probe data, the speed vector of the probing device corresponds to a continuous first derivative of a trajectory of the probing device and acceleration of the probing device corresponds to a second derivative of the trajectory of the probing device with the second derivative having a continuous value; estimating a trajectory of the probing device between two consecutive probe points by determining a data set representing an estimate of an actual trajectory of the probing device on the basis of two or more consecutive probe points fulfilling a requirement of continuous values for the first and second derivatives of the trajectory of the probing device and applying a polynomial interpolation of at least degree of five on said data set; providing a digital map comprising the at least one road segment; and displaying the estimated trajectory of the probing device of the navigation device along with the digital map on a display of the navigation device. - View Dependent Claims (19, 20)
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Specification