A closed form unwrapping method for a spherical omnidirectional view sensor

A Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method

In this paper a finite difference method for solving 2-dimensional diffusion equation is presented. The method employs Crank-Nicolson scheme to improve finite difference formulation and its convergence and stability. The obtained solution will be a recursive formula in each step of which a system of linear equations should be solved. Given the specific form of obtained matrices, rather than sol...

A Closed Form Solution to Multi-View Low-Rank Regression

Real life data often includes information from different channels. For example, in computer vision, we can describe an image using different image features, such as pixel intensity, color, HOG, GIST feature, SIFT features, etc.. These different aspects of the same objects are often called multi-view (or multi-modal) data. Lowrank regression model has been proved to be an effective learning mech...

A closed-form solution for the position analysis of a novel fully spherical parallel manipulator - ERRATUM

A Closed Form for Unitons

Unitons, i.e. harmonic spheres in a unitary group, correspond to ‘uniton bundles’, i.e. holomorphic bundles over the compactified tangent space to the complex line with certain triviality and other properties. In this paper, we use a monad representation similar to Donaldson’s representation of instanton bundles to obtain a simple formula for the unitons. Using the monads, we show that real tri...

A Spherical Electrostatic Model Edge Detector for Omnidirectional Images

Recently, omnidirectional vision has become necessary and useful for many computer science applications, such as autonomous navigation, SLAM, video surveillance and conferencing. However the use of classical image processing tools for omnidirectional images without taking into account their special particularities leads to a lack of performance. This article presents a new gray level edge detec...