We propose that Kreimer’s method of Feynman diagram renormalization via a Hopf algebra of rooted trees can be fruitfully employed in the analysis of block spin renormalization or coarse graining of inhomogeneous statistical systems. Examples of such systems include spin foam formulations of non-perturbative quantum gravity as well as lattice gauge and spin systems on irregular lattices and/or w...

We investigate the application of irregular repeat-accumulate (IRA) codes in volume holographic memory (VHM) systems. We introduce methodologies to design efficient IRA codes. We show that a judiciously designed IRA code for a typical VHM can be as good as the optimized irregular low-density-parity-check codes while having the additional advantage of lower encoding complexity. Moreover, we pres...

Multistage Interconnection Networks (MINs) interconnect thousands of various processors and memory modules. These Systems attract the researchers in various aspects such as performance parameters, reliability and routing. In this paper reliability of Irregular Fault Tolerant MIN named as Irregular Triangle has been discussed and compared with Theta Network.

We present a simple method for improving the rendered appearance of coarse triangular meshes. We refine and modify the geometry along silhouette edges in real-time, and thus increase the geometric complexity only where needed. We address how to define the improved silhouette and a method to blend the modified and the original geometry continuously. §

Irregular Incurve is a MIDI controllable robotic string instrument. The twelve independent string-units compose the complete musical scale of 12 units. Each string can be plucked by a motor control guitar pick. A MIDI keyboard is attached to the instrument and serves as an interface for real-time interactions between the instrument and the audience. Irregular Incurve can also play preprogrammed...

Non-rigid shape matching is one of the most challenging fields in content-based 3D object retrieval. The aim of the SHREC 2010 Shape Retrieval Contest of Non-rigid 3D Models is to evaluate and compare the effectiveness of different methods run on a non-rigid 3D shape benchmark consisting of 200 watertight triangular meshes. Three groups with six methods have participated in this track and the r...

Article history: Received 16 August 2015 Received in revised form 3 December 2015 Accepted 17 December 2015 Available online 21 December 2015

Geographic information systems often represent terrains, or other height elds, by triangulated irregular networks (TINs). The visualization of TINs is therefore a task any GIS has to be able to perform. This survey paper discusses two aspects of this task: the hidden-surface removal problem, which is to determine which parts of the TIN are visible from a given view point, and the computation of...

A new and simple approach for calculating the eigenstructure of a regular matrix pencil is presented. This proposed approach transforms the generalized eigenvalues problem into a usual eigenvalues problem, and it also can be used to calculate the Weierstrass form of a regular matrix pencil. Mathematics Subject Classification: 93B55