We introduce a combinatorial energy for maps of triangulated surfaces with simplicial metrics and analyze the existence and uniqueness properties of the corresponding harmonic maps. We show that some important applications of smooth harmonic maps can be obtained in this setting.

A second-generation pulse-burst laser system for high-speed flow diagnostics is described in detail. The laser can produce a burst of high-energy pulses (of the order of hundreds of millijoules per pulse) with individual pulse durations of less than 10 ns and pulse separations as short as 1 micros. A key improvement is the addition of a phase-conjugate mirror, which effectively isolates the hig...

This article is concerned with developing tools for investigating harmonic maps f : Σ→M from a closed Riemann surface Σ into a compact manifold M of dimension at least three, using a perturbative approach based upon the α-energy of Sacks and Uhlenbeck. We present a replacement procedure for α-harmonic maps which is similar to one that has been used for harmonic maps, and show how it can be used...

We describe algorithms for finding harmonic cochains, an essential ingredient for solving elliptic partial differential equations using finite element or discrete exterior calculus. Harmonic cochains are also useful in computational topology and computer graphics. We focus on finding harmonic cochains cohomologous to a given cocycle. Amongst other things, this allows for localization near topol...

Color design forms a crucial part in visual aesthetics, and it has been shown that a visually aesthetic visualization will be looked at more carefully. An important role plays here the choice of a colormap that is composed of harmonic colors. This paper presents an interface that allows users to choose harmonic colors in volume visualization applications. In addition, it describes mechanisms by...

We evaluate a new filterbank structure, yielding the harmonic structure cepstral coefficients (HSCCs), on a mismatchedsession closed-set speaker classification task. The novelty of the filterbank lies in its averaging of energy at frequencies related by harmonicity rather than by adjacency. Improvements are presented which achieve a 37%rel reduction in error rate under these conditions. The imp...

This paper presents segmentation of multi-speaker meeting audio into four different classes: local speech, crosstalk, overlapped speech and non-speech sounds. Firstly, Bayesian Information Criterion (BIC) segmentation method is used to pre-segment the meeting according to speaker changing points. Then, harmonicity information is integrated into acoustic features to differentiate speech from non...

Starting from a generalized nonequilibrium entropy, and from an extension of the Einstein formula for the probability of the fluctuations, we obtain the second moments of nonequilibrium fluctuations of the specific energy and the heat flux in rigid heat conductors. This approach leads to nonequilibrium corrections to the usual fluctuationdissipation expressions for the heat fluctuations. The co...

This paper presents the analysis of a ZVS PWM Three-phase Inverter with active voltage clamping technique using the reverse recovery energy of the diodes to improve the converter efficiency. The structure is particularly simple and robust. It is very attractive for Three Phase high power applications. Conduction and commutation losses are reduced due to implementation of a simple active snubber...