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In this paper, we outline a novel technique for robust indexing and retrieval of video object trajectories. Our approach is based on using spatiotemporal curvature to represent the trajectories. Dominant inflection points from the curvature are extracted at multiple levels of scale simultaneously revealing structure at varying levels of details. These inflection points, the maxima of curvature scale space (CSS), are then used for indexing and retrieval. Experiments on a database containing trajectories of high jumps and of her motions show the affine-invariant nature of our approach.