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An Efficient Earth Mover's Distance Algorithm for Robust Histogram Comparison
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International Journal of Computer Vision
Embedding and similarity search for point sets under translation
Proceedings of the twenty-fourth annual symposium on Computational geometry
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International Journal of Computer Vision
Object representation with local features in geodesic distance space
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ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
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SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Fast Local Self-Similarity for describing interest regions
Pattern Recognition Letters
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International Journal of Computer Vision
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EG 3DOR'08 Proceedings of the 1st Eurographics conference on 3D Object Retrieval
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International Journal of Computer Vision
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Applied Soft Computing
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Intelligent Data Analysis
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We propose a novel framework to build descriptors of local intensity that are invariant to general deformations. In this framework, an image is embedded as a 2D surface in 3D space, with intensity weighted relative to distance in x-y. We show that as this weight increases, geodesic distances on the embedded surface are less affected by image deformations. In the limit, distances are deformation invariant. We use geodesic sampling to get neighborhood samples for interest points, then use a geodesic-intensity histogram (GIH) as a deformation invariant local descriptor. In addition to its invariance, the new descriptor automatically finds its support region. This means it can safely gather information from a large neighborhood to improve discriminability. Furthermore, we propose a matching method for this descriptor that is invariant to affine lighting changes. We have tested this new descriptor on interest point matching for two data sets, one with synthetic deformation and lighting change, another with real non-affine deformations. Our method shows promising matching results compared to several other approaches.