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Spatiograms Versus Histograms for Region-Based Tracking STAN BIRCHFIELD AND SRIRAM RANGARAJAN

Spatiograms Versus Histograms for Region-Based Tracking STAN BIRCHFIELD AND SRIRAM RANGARAJAN CLEMSON UNIVERSITY. An illustrative insight. Abstract. Tracking results.

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Spatiograms Versus Histograms for Region-Based Tracking STAN BIRCHFIELD AND SRIRAM RANGARAJAN

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  1. Spatiograms Versus Histograms for Region-Based Tracking STAN BIRCHFIELD AND SRIRAM RANGARAJAN CLEMSON UNIVERSITY An illustrative insight Abstract Tracking results • We introduce the concept of a spatiogram, which is a generalization of a histogram that includes potentially higher order moments. A histogram is a zeroth-order spatiogram, while second-order spatiograms contain spatial means and covariances for each histogram bin. This spatial information still allows quite general transformations, as in a histogram, but captures a richer description of the target to increase robustness in tracking. We show how to use spatiograms in kernel-based trackers, deriving a mean shift • procedure in which individual pixels vote not only for the amount of shift but also for its direction. Experiments show improved tracking results compared with histograms, using • both mean shift and exhaustive local search. To compare histograms and spatiograms, three experiments were conducted. Three poses of a head Image generated from histogram Histograms and spatiograms Experiment #1 Using mean shift. Spatiogram is slightly better, but both lose the target when the head jerks quickly. SPATIOGRAM HISTOGRAM A discrete function (an image): Image generated from spatiogram Binary 2D formulation: The i th moment: Tracking by mean shift Experiment #2 Using local exhaustive search (6 x 6 x 1 in x, y, and scale), with gradient dot product. Spatiogram is less distracted by the background, but both succeed in maintaining the target. Histogram (no spatial information) HISTOGRAMS SPATIOGRAMS Σ Likelihood function: Spatiogram (some spatial Information) number of bins µ Experiment #2 Using local exhaustive search (6 x 6 x 1 in x, y, and scale), with gradient dot product. Spatiogram succeeds, while histogram fails. • The spatial histogram, or spatiogram, captures some spatial information about the target: • m is the spatial mean of all the pixels that contribute to the bin • S is the spatial covariance matrix of all the pixels that contribute to the bin • Spatiograms are between histograms (which contain no spatial information) and specific geometric models like SSD-based translation or affine (which maintain precise spatial information) Conclusion target location model target • Introduction of a novel concept: a higher-order histogram that captures a limited amount of spatial information (spatiogram) • Derivation of a mean shift procedure for spatiograms • Demonstration of improved tracking results when compared to histograms Mean shift update:

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