We establish an algorithm to compute characters of irreducible Harish-Chandra modules for a large class of nonalgebraic Lie groups. (Roughly speaking the class of groups consists of those obtained as nonlinear double covers of linear groups in Harish-Chandra’s class.) We then apply this theory to study a particular group (the universal cover of the real general linear group), and discover a sym...

In this paper, we provide an introduction to the representation theory of finite groups. We begin by defining representations, G-linear maps, and other essential concepts before moving quickly towards initial results on irreducibility and Schur’s Lemma. We then consider characters, class functions, and show that the character of a representation uniquely determines it up to isomorphism. Orthogo...

Based on the wavelet transform principle of nonlinear signal denoising , a design of fault signal denoising of permanent magnet linear synchronous motor vertical elevating system is presented using Digital Signal Processor(DSP) chip as its detecting and processing core . The experimental results show that the wavelet transform fault signal denoising applied to this system can not only preserve ...

A large collection of reproductions of calligraphy on paper was scanned into images to enable web access for both the academic community and the public. Calligraphic paper digitization technology is mature, but technology for segmentation, character coding, style classification, and identification of calligraphy are lacking. Therefore, computational tools for classification and quantification o...

In this paper, we present a new approach to recognizing hand signs. In this approach, motion recognition (the hand movement) is tightly coupled with spatial recognition (hand shape). The system uses multiclass, multidimensional discriminant analysis to automatically select the most discriminating linear features for gesture classiication. A recursive partition tree approximator is proposed to d...

The present multiclass boosting algorithms are hard to deal with Chinese handwritten character recognition for the large amount of classes. Most of them are based on schemes of converting multiclass classification to multiple binary classifications and have high training complexity. The proposed multiclass boosting algorithm adopts the descriptive model based multiclass classifiers (Modified Qu...

First, we examined a number of methods to perform forward and backward image reconstruction using optical ow. Given an image and its optical ow, we used these methods to generate the next image in the sequence. The RMS diierences between the actual next images and their reconstructed versions for 3 synthetic image sequences, for which the correct ows were known, allowed us to determine which of...