Correction to “Geometric groups. I”

Quantum Error-Correction Codes on Abelian Groups

We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.

Geometric Characterisations of Groups

A representation for some groups, a geometric approach

‎In the present paper‎, ‎we are going to use geometric and topological concepts‎, ‎entities and properties of the‎ ‎integral curves of linear vector fields‎, ‎and the theory of differential equations‎, ‎to establish a representation for some groups on $R^{n} (ngeq 1)$‎. ‎Among other things‎, ‎we investigate the surjectivity and faithfulness of the representation‎. At the end‎, ‎we give some app...

Pan-sharpening and Geometric Correction

On October 8, 2009, WorldView-2 joined its sister satellites, WorldView-1 and QuickBird, in orbit. WorldView-2 is a remote-sensing satellite principally used to capture high-resolution images of the earth. The images provided by the satellite can be used for applications such as mapping, land planning, disaster relief, exploration, defense and intelligence, visualization and simulation of envir...

Geometric correction through complex interpolation

A method for the correction of images that are subject to spatial warping is presented. The correction method applies to twodimensional images and employs the construction of a complexvalued interpolating polynomial. The construction is based on defining a set of points in an image whose desired location is known. The coefficients of the polynomial are shown to satisfy a recursion relation that...