We propose use of an appearance manifold with embedded covariance matrix as a technique for recognizing 3D objects from images that are influenced by geometric and quality-degraded effects. Our strategy covers the construction of this appearance manifold by giving consideration to pose changes. In the proposed method, the correspondence of each learning pose is not based on the eigenpoint but d...

In this article, a range image sequence tracking approach is proposed, which combines 3-D camera intensity and range observations in an integrated geometric transformation model. Based on 2-D least squares matching, a closed solution for intensity and range observations has been developed. By combining complementary information, an increase in accuracy and reliability can be achieved. The weigh...

The Barzilai-Borwein method, an effective gradient descent method with cleaver choice of the step-length, is adapted from nonlinear optimization to Riemannian manifold optimization. More generally, global convergence of a nonmonotone line-search strategy for Riemannian optimization algorithms is proved under some standard assumptions. By a set of numerical tests, the Riemannian Barzilai-Borwein...

In this paper we present the tool spn2mgm that can be used to construct and solve stochastic Petri nets using matrix-geometric techniques. The tool automatically recognizes the \matrix-geometric structure" of the Markov chain underlying the stochastic Petri net, and solves the Markov chain with these well-known and ef-cient techniques. We informally characterize the class of stochastic Petri ne...

Membranes holomorphically embedded in flat noncompact space are constructed in terms of the degrees of freedom of an infinite collection of 0-branes. To each holomorphic curve we associate infinite-dimensional matrices which are static solutions to the matrix theory equations of motion, and which can be interpreted as the matrix theory representation of the holomorphically embedded membrane. Th...

Geometric optics is often described as tracing the paths of non-diffracting rays through an optical system. In paraxial limit, ray traces can be calculated using transfer matrices (colloquially, ABCD matrices), which are 2x2 acting on height and slope rays. A known limitation that they only work for elements centered normal to axis. this article, we provide improved 3x3 matrix method calculatin...

Understanding the representations of 3D scenes as encoded in multiple views taken by a camera from different vantage points is central to many tasks in image and video analysis. These tasks range from recovering the camera motion, 3D structure of the scene and detection and characterization of multiple motions in video. We will demonstrate that the natural representations of a 3D scene in 2D im...

We theoretically and experimentally analyze the process of adding sparse random links to a random wireless networks modeled as a random geometric graph. While this process has been previously proposed, we are the first to (i) theoretically consider sparse new-wiring (with asymptotically less than constant fraction of nodes allowed very small constant new wired edges), (ii) prove bounds for any ...

Reconstructing a surface mesh from a set of discrete point samples is a fundamental problem in geometric modeling. It becomes challenging in presence of ‘singularities’ such as boundaries, sharp features, and non-manifolds. A few of the current research in reconstruction have addressed handling some of these singularities, but a unified approach to handle them all is missing. In this paper we a...