This paper describes a texture based shape connection method for reconstructing parts of an object shape into its entire 3-D shape. This method employs a stereo camera to obtain the parts of an object. First, this method finds overlaps between the parts, obtained from a number of different viewpoints, using texture. Then, the method uses the results for estimating the relative position-and-orie...

In this paper, an open problem in the multidimensional complex analysis is presented that arises in the investigation of the regularity properties of Fourier integral operators and in the regularity theory for hyperbolic partial differential equations. The problem is discussed in a self-contained elementary way and some results towards its resolution are presented. A conjecture concerning the s...

This paper generalizes the results of the paper [FF3] to the case of the general sl 2 Shubert varieties. We study the homomorphisms between different Shubert varieties, describe their geometry and the group of the line bundles. We also derive some consequences concerning the infinite-dimensional generalized affine grassmanians.

Abstract. We show that the denominator formula for the strange series of affine superalgebras, conjectured by Kac and Wakimoto and proved by Zagier, follows from a classical determinant evaluation of Frobenius. As a limit case, we obtain exact formulas for the number of representations of an arbitrary number as a sum of 4m2/d triangles, whenever d | 2m, and 4m(m + 1)/d triangles, when d | 2m or...

A method is presented for identifying individuals by shape, given a sequence of noisy silhouettes segmented from video. A spectral partitioning framework is used to cluster similar poses and automatically extract gait shapes. The method uses a variance-weighted similarity metric to induce clusters that cover disparate stages in the gait cycle. This technique is applied to the HumanID Gait Chall...

The use of statistical shape models is a promising approach for robust segmentation of medical images. One of the major challenges in building a 3D shape model from a training set of segmented instances of an object is the determination of the correspondence between them. We propose a novel geometric approach that is based on minimizing the distortion of the mapping between two surfaces. In thi...

We develop a statistical test to determine if shape belongs to a given homogeneous family of shapes based on general statistical hypothesis testing. First, we illustrate the membership test on a simple random triangle model. Second we apply this test to face identification problem with the task to identify that the last photo is of the same person with different facial expression. Third, we out...