We introduce a new preconditioner for elliptic PDE’s on unstructured meshes. Using a wavelet-inspired basis we compress the inverse of the matrix, allowing an effective sparse approximate inverse by solving the sparsity vs. accuracy conflict. The key issue in this compression is to use second-generation wavelets which can be adapted to the unstructured mesh, the true boundary conditions, and ev...

Detection of symmetry is vital to problem solving. Most of the problems of computer vision and computer graphics and machine intelligence in general, can be reduced to symmetry detection problem. Unstructured search problem can also be looked upon from symmetry detection point of view. Unstructured search can be thought as searching a binary string satisfying some search condition in an unsorte...

The management of unstructured data is recognized as one of the major unsolved problems in the information industry and data mining paradigm. Unstructured data in computerized information that either does not have a data model and there are not easily usable by data mining. This paper proposes a solution to this problem by managing unstructured data in to structured data using legacy system and...

The aim of this study is to develop and validate numerical methods that perform shape optimization in incompressible flows using unstructured meshes. The three-dimensional Euler equations for compressible flow are modified using the idea of artificial compressibility and discretized on unstructured tetrahedral grids to provide estimates of pressure distributions for aerodynamic configurations. ...

Despite growing interest in multimedia data management, audio retrieval has received little attention. In part, this can be attributed to existing unstructured audio representations that do not easily lend themselves to content based retrieval and especially browsing. This paper aims to address this oversight. It begins by reviewing existing techniques and the specific problems posed by unstruc...

Navigation of autonomous vehicles and robots can be divided into two categories: indoor navigation and outdoor navigation. In general the outdoor navigation is more difficult and complex task because often the environment does not have characteristic points that can be identified and with respect to which robots could relate their position. If environment is unstructured (e.g. off-road environm...

Information retrieval (IR) extracts and organizes natural language information found in unstructured text. Many of the challenges faced by software engineers can be addressed using IR techniques on the unstructured text provided by source code and its associated documents. A survey of IR-based techniques applied to software engineering challenges during the initial development process is presen...

A discussion of convergence acceleration techniques as they relate to computational fluid dynamics problems on unstructured meshes is given. Rather than providing a detailed description of particular methods, the various different building blocks of current solution techniques are discussed and examples of solution strategies using one or several of these ideas are given. Issues relating to uns...

Multi-block unstructured hexahedral grids are widely used in numerical simulations, but they cause various problems for data visualization due to the hangingnode problem. We present a multi-resolution approach for unstructured hexahedral grid visualization based on cost-minimizing face collapses. We resolve the hangingnode problem in its general form in order to generate visualizations using cu...