The sinusoidal transform, as developed by Quatieri and McAulay, provides a sparse representation for speech signals by taking advantage of psychoacoustic masking. The currently reported work takes the sinusoidal transform one step further by considering the frequency resolution abilities of the human auditory system in more detail. The new transform is based on the wavelet principle of variable...

We formulate a resolution of singularities algorithm for analyzing the zero sets of real-analytic functions in dimensions ≥ 3. Rather than using the celebrated result of Hironaka, the algorithm is modeled on a more explicit and elementary approach used in the contemporary algebraic geometry literature. As an application, we define a new notion of the height of real-analytic functions, compute t...

A better understanding on natural climate variability is crucial for global climate change studies and the evaluation of the sensitivity of the climate system to perturbations. External forcing factors might contribute substantially to both high and low frequency variations in climate but a clear separation of their impact from internally forced fluctuations is difficult. We focus on solar irra...

Current endeavors in community detection suffer from the resolution limit problem and can be quite expensive for large networks, especially those based on optimization schemes. We propose a conceptually different approach for multi-resolution community detection, by introducing the kernels from statistical literature into the graph, which mimic the node interaction that decays locally with the ...

Classic speech spectrogram shows log-magnitude amplitude (dB) versus time and frequency. The sound pressure level in dB is approximately proportional to the volume perceived by the ear. The classic speech sonagram offers a single integration time which is the length of the window. It implements a uniform bandpass filter, the spectral samples are regularly spaced and correspond to equal bandwidt...

This paper proposes an improvement to the texture generation-based image in-painting algorithm, using multi-resolution analysis. Instead of optimizing the size of the neighborhood window of the synthesized pixel and the size of the test image, the approach described in this paper applies the same (minimal) window and test image size to different sub-bands of the discrete wavelet transformed (DW...

In this paper we use the equivalence result originally proved by the author which relates a multi-resolution analysis (MRA) of L2(R) and an orthonormal set of single electron wave-functions in the lowest Landau level, to build up a procedure which produces, starting with a certain square-integrable function, a MRA of L2(R). AMS Subject Classifications (200): 42A16, 42C40, 81V70

The application of Wavelets to the Multi-resolution Analysis of surfaces provides an elegant, mathematically rigorous framework for the implementation of subdivision surfaces. We present a method similar to [Lou95] for multiresolution analysis of surfaces with subdivision connectivity. However, due to error incurred during surface remeshing (as with [EDD 95, LSS 98]) we find Wavelets an unsuita...

An efficient algorithm for image segmentation based on a multi-resolution application of a wavelets transform and feature distribution is presented. The original feature space is transformed into a lower resolution with a wavelets transform to derive fast computation of the optimum threshold value in a feature space. Based on this lower resolution version of the given feature space, a single fe...