This note is an extension of [DZ23] there the supersymmetric vacua three-dimensional $\mathcal{N}=2$ gauge theories with matter are shown to be in one-to-one correspondence eigenstate $\text{XXZ}$ integrable spin chain Hamiltonians open boundary conditions. We consider $A_{2}$ quiver theory, which simplest non-trivial and $sl_{3}$ diagonal condition. demonstrate between vacuum equations differe...

This paper considers a speci c problem of visual perception of motion, namely the problem of visual detection of independent 3D motion. Most of the existing techniques for solving this problem rely on restrictive assumptions about the environment, the observer's motion, or both. Moreover, they are based on the computation of a dense optical ow eld, which amounts to solving the illposed correspo...

This paper deals with the problem of determining motion and structure for a planar surface and the error estimation. Since the motion of a planar patch is a degenerate case for linear algorithms (algorithms that consist of solving mainly linear equations and give closed-form solution) for general surfaces, the motion of such a planar surface should be considered separately. First, a new algorit...

In this paper we construct a simple full-covariance Gaussian prior for personspecific facial pose at a number of points on the face. When the relative orientation and translation of the camera and head are known, this simple model permits triangulation and correspondence to be expressed in a straightforward manner: For orthographic cameras, triangulating points amounts to linear regression, and...

An axial camera is a particular case of a non-central camera where every back-projection ray intersects a line in 3D (the axis). The axial camera can be used to model vision systems and imaging situations of practical interest. Examples include any catadioptric system that combines a revolution mirror with a central camera for which the viewpoint is aligned with the mirror axis (e.g. a pinhole ...

Matrices of dimensions m × 1 and 1 × n are called column and row vectors, respectively. We will typically denote column and row vectors by lower case Latin letters, e.g. a, b, x, y and other matrices by upper case Latin letters, e.g. A, B, X, Y . The scalars (or 1 × 1 matrices) will be frequently denoted by Greek letters α, β, λ, μ, etc. Unless stated otherwise, all scalars will be real numbers...

We establish a Kobayashi-Hitchin correspondence for the stable Higgs sheaves on a compact Kähler manifold. Using it, we also obtain a Kobayashi-Hitchin correspondence for the stable Higgs G–sheaves, where G is any complex reductive linear algebraic group.