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Aerial Image records the large-range earth objects with the ever-improving spatial and radiometric resolution. It becomes a powerfultool for earth observation, land-coverage survey, geographical census, etc., and helps delineating the boundary of different kindsof objects on the earth both manually and automatically. In light of the geo-spatial correspondence between the pixel locations ofaerial image and the spatial coordinates of ground objects, there is an increasing need of super-pixel segmentation and high-accuracypositioning of objects in aerial image. Besides the commercial software package of eCognition and ENVI, many algorithms havealso been developed in the literature to segment objects of aerial images. But how to evaluate the segmentation results remains achallenge, especially in the context of the geo-spatial correspondence. The Geo-Hausdorff Distance (GHD) is proposed to measurethe geo-spatial distance between the results of various object segmentation that can be done with the manual ground truth or withthe automatic algorithms.Based on the early-breaking and random-sampling design, the GHD calculates the geographical Hausdorffdistance with nearly-linear complexity. Segmentation results of several state-of-the-art algorithms, including those of the commercialpackages, are evaluated with a diverse set of aerial images. They have different signal-to-noise ratio around the object boundariesand are hard to trace correctly even for human operators. The GHD value is analyzed to comprehensively measure the suitabilityof different object segmentation methods for aerial images of different spatial resolution. By critically assessing the strengths andlimitations of the existing algorithms, the paper provides valuable insight and guideline for extensive research in automating objectdetection and classification of aerial image in the nation-wide geographic census. It is also promising for the optimal design ofoperational specification of remote sensing interpretation under the constraints of limited resource

the international archives of the photogrammetry, remote sensing and spatial information sciences/international archives of the photogrammetry, remote sensing and spatial information sciences

CRITICAL ASSESSMENT OF OBJECT SEGMENTATION IN AERIAL IMAGE USING GEO-HAUSDORFF DISTANCE