Now showing items 589-608 of 1097

    • Multiple Window Time Varying Spectrum Estimation 

      Baraniuk, Richard G.; Bayram, Metin (2000-01-20)
      We overview a new non-parametric method for estimating the time-varying spectrum of a non-stationary random process. Our method extends Thomson's powerful multiple window spectrum estimation scheme to the time-frequency ...
    • Multiplicative Multiscale Image Decompositions: Analysis and Modeling 

      Romberg, Justin; Riedi, Rudolf H.; Choi, Hyeokho; Baraniuk, Richard G. (2000-07-01)
      Multiscale processing, in particular using the wavelet transform, has emerged as an incredibly effective paradigm for signal processing and analysis. In this paper, we discuss a close relative of the Haar wavelet transform, ...
    • Multiresolution Intensity Estimation of Piecewise Linear Poisson Processes 

      Willett, Rebecca (2001-04-20)
      Given observations of a one-dimensional piecewise linear, length-M Poisson intensity function, our goal is to estimate both the partition points and the parameters of each segment. In order to determine where the breaks ...
    • Multiresolution Nonparametric Intensity and Density Estimation 

      Willett, Rebecca; Nowak, Robert David (2002-05-20)
      This paper introduces a new multiscale method for nonparametric piecewise polynomial intensity and density estimation of point processes. Fast, piecewise polynomial, maximum penalized likelihood methods for intensity and ...
    • Multiscale Analysis for Intensity and Density Estimation 

      Willett, Rebecca (2002-04-20)
      The nonparametric multiscale polynomial and platelet algorithms presented in this thesis are powerful new tools for signal and image denoising and reconstruction. Unlike traditional wavelet-based multiscale methods, these ...
    • Multiscale Approximation of Piecewise Smooth Two-Dimensional Function using Normal Triangulated Meshes 

      Jansen, Maarten; Baraniuk, Richard G.; Lavu, Sridhar (2005-07-01)
      Multiresolution triangulation meshes are widely used in computer graphics for representing three-dimensional(3-d) shapes. We propose to use these tools to represent 2-d piecewise smooth functions such as grayscale ...
    • A Multiscale Bayesian Framework for Linear Inverse Problems and Its Application to Image Restoration 

      Wan, Yi; Nowak, Robert David (2001-01-20)
      In this paper we develop a wavelet-based statistical method for solving linear inverse problems. The Bayesian framework developed here is general enough to treat a wide class of linear inverse problems involving (white ...
    • Multiscale Classification using Complex Wavelets and Hidden Markov Tree Models 

      Romberg, Justin; Choi, Hyeokho; Baraniuk, Richard G.; Kingsbury, Nicholas G. (2000-09-01)
      Multiresolution signal and image models such as the hidden Markov tree (HMT) aim to capture the statistical structure of smooth and singular (textured and edgy) regions. Unfortunately, models based on the orthogonalwavelet ...
    • Multiscale Connection-Level Analysis of Network Traffic 

      Sarvotham, Shriram; Riedi, Rudolf H.; Baraniuk, Richard G. (2002-11-01)
      Network traffic exhibits drastically different statistics, ranging from nearly Gaussian marginals and long range dependence at very large time scales to highly non-Gaussian marginals and multifractal scaling on small scales. ...
    • A Multiscale Data Representation for Distributed Sensor Networks 

      Wagner, Raymond; Sarvotham, Shriram; Baraniuk, Richard G. (2005-03-01)
      Though several wavelet-based compression solutions for wireless sensor network measurements have been proposed, no such technique has yet appreciated the need to couple a wavelet transform tolerant of irregularly sampled ...
    • A Multiscale Data Representation for Distributed Sensor Networks: Proofs of Basis Characteristics and Error Bounds 

      Sarvotham, Shriram; Wagner, Raymond; Baraniuk, Richard G. (2004-09-01)
      Provides proofs of Parseval tight-frame membership and approximation properties for the basis proposed in "A Multiscale Data Representation for Distributed Sensor Networks" by R. Wagner, S. Sarvotham, and R. Baraniuk (ICASSP ...
    • Multiscale Density Estimation 

      Willett, Rebecca; Nowak, Robert David (2003-08-20)
      The nonparametric density estimation method proposed in this paper is computationally fast, capable of detecting density discontinuities and singularities at a very high resolution, spatially adaptive, and offers near ...
    • Multiscale Edge Grammars for Complex Wavelet Transforms 

      Romberg, Justin; Choi, Hyeokho; Baraniuk, Richard G. (2001-10-01)
      Wavelet domain algorithms have risen to the forefront of image processing. The power of these algorithms is derived from the fact that the wavelet transform restructures the image in a way that makes statistical modeling ...
    • Multiscale Geometric Image Processing 

      Romberg, Justin; Wakin, Michael; Baraniuk, Richard G. (2003-07-01)
      Since their introduction a little more than 10 years ago, wavelets have revolutionized image processing. Wavelet based algorithms define the state-of-the-art for applications including image coding (JPEG2000), restoration, ...
    • Multiscale Image Processing Using Normal Triangulated Meshes 

      Jansen, Maarten; Choi, Hyeokho; Lavu, Sridhar; Baraniuk, Richard G. (2001-10-01)
      Multiresolution triangulation meshes are widely used in computer graphics for 3-d modelling of shapes. We propose an image representation and processing framework using a multiscale triangulation of the grayscale function. ...
    • Multiscale Image Segmentation Using Joint Texture and Shape Analysis 

      Neelamani, Ramesh; Romberg, Justin; Riedi, Rudolf H.; Choi, Hyeokho; Baraniuk, Richard G. (2000-07-01)
      We develop a general framework to simultaneously exploit texture and shape characterization in multiscale image segmentation. By posing multiscale segmentation as a model selection problem, we invoke the powerful framework ...
    • Multiscale Image Segmentation using Wavelet-domain Hidden Markov Models 

      Choi, Hyeokho; Baraniuk, Richard G. (2001-09-01)
      We introduce a new image texture segmentation algorithm, HMTseg, based on wavelets and the hidden Markov tree (HMT) model. The HMT is a tree-structured probabilistic graph that captures the statistical properties of the ...
    • Multiscale Likelihood Analysis and Complexity Penalized Estimation 

      Kolaczyk, Eric D.; Nowak, Robert David (2004)
      We describe here a framework for a certain class of multiscale likelihood factorization wherein, in analogy to a wavlet decomposition of an L² function, a given likelihood function has an alternative representation as a ...
    • Multiscale Likelihood Analysis and Image Reconstruction 

      Willett, Rebecca; Nowak, Robert David (2003-08-20)
      The nonparametric multiscale polynomial and platelet methods presented here are powerful new tools for signal and image denoising and reconstruction. Unlike traditional wavelet-based multiscale methods, these methods are ...
    • Multiscale Manifold Representation and Modeling 

      Choi, Hyeokho; Baraniuk, Richard G. (2005-03-01)
      Many real world data sets can be viewed as points in a higher-dimensional space that lie concentrated around a lower-dimensional manifold structure. We propose a new multiscale representation for such point clouds based ...