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In this paper, we present a new method for representing and recognizing objects, based on invariants of the object's regions. We apply the method to articulated objects in low-resolution, noisy range images. Articulated objects such as a back-hoe can have many degrees of freedom, in addition to the unknown variables of viewpoint. Recognizing such an object in an image can involve a search in a high-dimensional space that involves all these unknown variables. Here, we use invariance to reduce this search space to a manageable size. The low resolution of our range images makes it hard to use common features such as edges to find invariants. We have thus developed a new "featureless” method that does not depend on feature detection. Instead of local features, we deal with whole regions of the object. We define a "transform” that converts the image into an invariant representation on a grid, based on invariant descriptors of entire regions centered around the grid points. We use these region-based invariants for indexing and recognition. While the focus here is on articulation, the method can be easily applied to other problems such as the occlusion of fixed objects.
Index Terms- Object recognition, invariance, range images, transform.

M. Ray and I. Weiss, "Recognizing Articulated Objects Using a Region-Based Invariant Transform," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 27, no. , pp. 1660-1665, 2005.
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