-A new method is presented for the texture analysis and segmentation of seismic images. The texture of a seismic image is described in terms either of seismic horizons' features (e.g. length, reflection strength, geometrical appearance), or in terms of Hilbert transform features (magnitude, phase, instantaneous frequency) or in terms of features related to the generalized runs. Seismic image se...

We present a 2D mesh improvement technique that optimizes Voronoi diagrams for their use in polygonal finite element computations. Starting from a centroidal Voronoi tessellation of the simulation domain we optimize the mesh by minimizing a carefully designed energy functional that effectively removes the major reason for numerical instabilities—short edges in the Voronoi diagram. We evaluate o...

Two-dimensional magnetic recording (TDMR) is a novel storage architecture that, in theory, can achieve a density of upto 10 Tb/in. It uniquely differs from other proposed next-generation architectures because of its reliance on sophisticated two-dimensional signal processing algorithms. Recently, a number of contributions have been made in the development of read-channel models and detectors fo...

Voronoi diagrams have recently received attention as data structures containing significant information about the spatial adjacency of map objects. Despite their theoretical efficiency, batch construction techniques require complete rebuilding after each modification. Incremental Voronoi creation methods use processes such as insert, delete and move for points, and from these derive insertion a...

A centroidal Voronoi tessellation is a Voronoi tessellation whose generating points are the centroids (centers of mass) of the corresponding Voronoi regions. We give some applications of such tessellations to problems in image compression, quadrature, finite difference methods, distribution of resources, cellular biology, statistics, and the territorial behavior of animals. We discuss methods f...

The farthest line segment Voronoi diagram shows properties different from both the closest-segment Voronoi diagram and the farthest-point Voronoi diagram. Surprisingly, this structure did not receive attention in the computational geometry literature. We analyze its combinatorial and topological properties and outline an O(n log n) time construction algorithm that is easy to implement. No restr...

Proper orthogonal decompositons (POD) have been used to systematically extract the most energetic modes while centroidal Voronoi tessellations has been used to systematically extract best representatives. We combine the ideas of CVT and POD into a hybird method for model reduction. The optimality of such an approach and various practical implementation strategies are discussed.

As a consequence of increasing safety concerns, camera surveillance has been widely adopted as a way to monitor public spaces. One of the major challenges of camera surveillance is to design an optimal method for camera network placement in order to ensure the greater possible coverage. In addition, this method must consider the landscape of the monitored environment to take into account the ex...