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Sensors 2012, 12(7), 8640-8662; doi:10.3390/s120708640
Article

Spatial Uncertainty Model for Visual Features Using a Kinect™ Sensor

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Received: 18 May 2012; in revised form: 12 June 2012 / Accepted: 13 June 2012 / Published: 26 June 2012
(This article belongs to the Section Physical Sensors)
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Abstract: This study proposes a mathematical uncertainty model for the spatial measurement of visual features using Kinect™ sensors. This model can provide qualitative and quantitative analysis for the utilization of Kinect™ sensors as 3D perception sensors. In order to achieve this objective, we derived the propagation relationship of the uncertainties between the disparity image space and the real Cartesian space with the mapping function between the two spaces. Using this propagation relationship, we obtained the mathematical model for the covariance matrix of the measurement error, which represents the uncertainty for spatial position of visual features from Kinect™ sensors. In order to derive the quantitative model of spatial uncertainty for visual features, we estimated the covariance matrix in the disparity image space using collected visual feature data. Further, we computed the spatial uncertainty information by applying the covariance matrix in the disparity image space and the calibrated sensor parameters to the proposed mathematical model. This spatial uncertainty model was verified by comparing the uncertainty ellipsoids for spatial covariance matrices and the distribution of scattered matching visual features. We expect that this spatial uncertainty model and its analyses will be useful in various Kinect™ sensor applications.
Keywords: Kinect™ sensor; depth sensing camera; 3D acquisition; uncertainty model; visual feature; depth calibration; disparity map; point cloud Kinect™ sensor; depth sensing camera; 3D acquisition; uncertainty model; visual feature; depth calibration; disparity map; point cloud
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Park, J.-H.; Shin, Y.-D.; Bae, J.-H.; Baeg, M.-H. Spatial Uncertainty Model for Visual Features Using a Kinect™ Sensor. Sensors 2012, 12, 8640-8662.

AMA Style

Park J-H, Shin Y-D, Bae J-H, Baeg M-H. Spatial Uncertainty Model for Visual Features Using a Kinect™ Sensor. Sensors. 2012; 12(7):8640-8662.

Chicago/Turabian Style

Park, Jae-Han; Shin, Yong-Deuk; Bae, Ji-Hun; Baeg, Moon-Hong. 2012. "Spatial Uncertainty Model for Visual Features Using a Kinect™ Sensor." Sensors 12, no. 7: 8640-8662.



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