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This paper offers a sparse, multiscale representation of objects. It captures the object appearance by selection from a very large dictionary of Gaussian differential basis functions. The learning procedure results from the matching pursuit algorithm, while the recognition is based on polynomial approximation to the bases, turning image matching into a problem of polynomial evaluation. The method is suited for coarse recognition between objects and, by adding more bases, also for fine recognition of the object pose. The advantages over the common representation using PCA include storing sampled points for recognition is not required, adding new objects to an existing data set is trivial because retraining other object models is not needed, and significantly in the important case where one has to scan an image over multiple locations in search for an object, the new representation is readily available as opposed to PCA projection at each location. The experimental result on the COIL-100 data set demonstrates high recognition accuracy with real-time performance.
B-spline, Gaussian derivatives, matching pursuit, multiscale, PCA, polynomial approximation, sparse representation.

A. W. Smeulders and T. V. Pham, "Sparse Representation for Coarse and Fine Object Recognition," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 28, no. , pp. 555-567, 2006.
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