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Geo-localization using Volumetric Representations of Overhead Imagery

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Abstract

This paper addresses the problem of determining the location of a ground level image by using geo-referenced overhead imagery. The input query image is assumed to be given with no meta-data and the content of the image is to be matched to a priori constructed reference representations. The semantic breakdown of the content of the query image is provided through manual labeling; however, all processing involving the reference imagery and matching are fully automated. In this paper, a volumetric representation is proposed to fuse different modalities of overhead imagery and construct a 3D reference world. Attributes of this reference world such as orientation of the world surfaces, types of land cover, depth order of fronto-parallel surfaces are indexed and matched to the attributes of the surfaces manually marked on the query image. An exhaustive but highly parallelizable matching scheme is proposed and the performance is evaluated on a set of query images located in a coastal region in Eastern United States. The performance is compared to a baseline region reduction algorithm and to a landmark existence matcher that uses a 2D representation of the reference world. The proposed 3D geo-localization framework performs better than the 2D approach for 75 % of the query images.

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Notes

  1. Note that creating semantic break-down of a still image in such detail and accuracy in an automated manner is a very challenging problem and it is beyond the scope of the proposed geo-localization framework. In this work, the best possible semantic description and camera calibration of the query image are assumed to be given as inputs to the system.

  2. For the experiments in this paper, the size of the camera space at every location is 21,901 and the number of possible camera locations is 2.8 million in a search area of 634 \(\hbox {km}^{2}\) for the experiments in this paper.

  3. Table 2 shows a full list of labels that appeared in the query images used in the experiments of this paper.

  4. The dynamic programming based string matching algorithm has complexity O(NM) where N and M are the number of literals in the first and second strings respectively. In the case of a 3D approach taking visibility into account, the complexity would be linear (i.e. O(N) if \(\hbox {N}>\hbox {M}\)) since the two strings would be created to match one-to-one.

  5. Note that the LIDAR data used in these experiments has 2 m spatial resolution with 30 cm vertical accuracy. \(1\hbox { m}^{3}\) voxel resolution is chosen to capture the vertical accuracy of the LIDAR data and create more realistic ground view renderings.

  6. For the experiments in this paper, the maximum depth of an object to be marked on a query image is set to be 3000 m so that one byte per ray was sufficient to store the depth interval index.

  7. Note that, each location can be independently evaluated from the other locations and thus the method is highly parallelizable.

  8. There are misalignments between LIDAR data and the orthographic classification maps up to 5 m. Thus, the thin pier regions are sampled more frequently to make sure there are hypothesis locations with correct elevations.

  9. The more precise the distance estimation of an object, e.g. a building, the better the scoring would be as its weight wouldn’t be distributed. Thus the quality of the camera calibration becomes important for this matcher as also is the case for the proposed 3D matcher. The purpose of this paper is to compare the matcher performances and thus only the query images with good calibrations are selected for the experiments. For land types with large extents on the ground, e.g. a lake, the reference existence histogram would also record its existence in multiple distance intervals, so the distribution of the weights is not an issue for such land types.

  10. The ground-truth locations of these images were available as measured by GPS during capture. A ground-truth camera heading is prepared manually via Google Earth’s image overlay tool.

  11. Note that the 2D existence matchers don’t use the object location in the image explicitly but only the attributes of the object assigned by the user. Thus, the same polygonal mark-ups given by the user for proposed volumetric matcher are also used to generate the query signature for the 2D existence matcher.

  12. For this experiment, during matching the weights of the corresponding attributes are simply set to 0 to disable its contribution.

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Acknowledgments

Supported by the Intelligence Advanced Research Projects Activity (IARPA) via Air Force Research Laboratory (AFRL), Contract FA8650-12-C-7211. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purposes notwithstanding any copyright annotation thereon.

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Correspondence to Ozge C. Ozcanli.

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The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of IARPA, AFRL, or the U.S. Government.

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Communicated by Marc Pollefeys, Larry S. Davis, Josef Sivic, Riad I. Hammoud.

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Ozcanli, O.C., Dong, Y. & Mundy, J.L. Geo-localization using Volumetric Representations of Overhead Imagery. Int J Comput Vis 116, 226–246 (2016). https://doi.org/10.1007/s11263-015-0850-9

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