Now showing items 1-16 of 16

  • Adaptive Wavelet Transforms for Image Coding 

    Claypoole, Roger L.; Davis, Geoffrey; Sweldens, Wim; Baraniuk, Richard G. (1997-11-01)
    We introduce a new adaptive transform for wavelet-based image coding. The lifting framework for wavelet construction motivates our analysis and provides new insight into the problem. Since the adaptive transform is non-linear, ...
  • Analysis of Multiscale Texture Segmentation using Wavelet-Domain Hidden Markov Trees 

    Choi, Hyeokho; Hendricks, Brent; Baraniuk, Richard G. (1999-10-01)
    This paper describes a technique for estimating the Kullback-Leibler (KL) distance between two Hidden Markov Models (HMMs), and for measuring the quality of the estimator. It also provides some results based on applying ...
  • Bayesian Tree-Structured Image Modeling using Wavelet-domain Hidden Markov Models 

    Romberg, Justin; Choi, Hyeokho; Baraniuk, Richard G. (1999-07-20)
    Wavelet-domain hidden Markov models have proven to be useful tools for statistical signal and image processing. The hidden Markov tree (HMT) model captures the key features of the joint probability density of the wavelet ...
  • Bayesian Wavelet Domain Image Modeling using Hidden Markov Trees 

    Romberg, Justin; Choi, Hyeokho; Baraniuk, Richard G. (1999-10-01)
    Wavelet-domain hidden Markov models have proven to be useful tools for statiscal signal and image processing. The hidden Markov tree (HMT) model captures the key features o teh join statistics of the wavelet coefficients ...
  • Discrete finite variation: A new measure of smoothness for the design of wavelet basis 

    Odegard, Jan E.; Burrus, C. Sidney (1996-05-20)
    A new method for measuring and designing smooth wavelet basis which dispenses with the need for having a large number of zero moments of the wavelet is given. The method is based on minimizing the "discrete finite variation", ...
  • Image Data Compression 

    Wei, Dong (1995-05-01)
    Wavelet-based multi-resolution representation has become a cutting-edge technology in the area of image data compression. Though the discrete wavelet transform is closely related to the perfect-reconstruction octave-band ...
  • Multiple Basis Wavelet Denoising using Besov Projections 

    Choi, Hyeokho; Baraniuk, Richard G. (1999-10-01)
    Wavelet-based image denoising algorithm depends upon the energy compaction property of wavelet transforms. However, for many real-world images, we cannot expect good energy compaction in a single wavelet domain, because ...
  • Multiple wavelet basis image denoising using Besov ball projections 

    Choi, Hyeokho; Baraniuk, Richard G. (2004-09-01)
    We propose a new image denoising algorithm that exploits an image's representation in multiple wavelet domains. Besov balls are convex sets of images whose Besov norms are bounded from above by their radii. Projecting an ...
  • 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 ...
  • 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 SAR Image Segmentation using Wavelet-domain Hidden Markov Tree Models 

    Venkatachalam, Vidya; Choi, Hyeokho; Baraniuk, Richard G. (2000-04-01)
    We study the segmentation of SAR imagery using wavelet-domain Hidden Markov Tree (HMT) models. The HMT model is a tree-structured probabilistic graph that captures the statistical properties of the wavelet transforms of ...
  • Non-Redundant, Linear-Phase, Semi-Orthogonal, Directional Complex Wavelets 

    Fernandes, Felix; Wakin, Michael; Baraniuk, Richard G. (2004-05-01)
    The directionality and phase information provided by non-redundant complex wavelet transforms (NCWTs) provide significant potential benefits for image/video processing and compression applications. However, because existing ...
  • Smooth biorthogonal wavelets for applications in image compression 

    Odegard, Jan E.; Burrus, C. Sidney (1996-09-20)
    In this paper we introduce a new family of smooth, symmetric biorthogonal wavelet basis. The new wavelets are a generalization of the Cohen, Daubechies and Feauveau (CDF) biorthogonal wavelet systems. Smoothness is controlled ...
  • Template Learning from Atomic Representations: A Wavelet-Based Approach to Pattern Analysis 

    Scott, Clayton; Nowak, Robert David (2001-04-20)
    Despite the success of wavelet decompositions in other areas of statistical signal and image processing, current wavelet-based image models are inadequate for modeling patterns in images, due to the presence of unknown ...
  • Wavelet-Based Post-Processing of Low Bit Rate Transform Coded Images 

    Gopinath, Ramesh A.; Lang, Markus; Guo, Haitao; Odegard, Jan E. (1994-01-15)
    In this paper we propose a novel method based on wavelet thresholding for enhancement of decompressed transform coded images. Transform coding at low bit rates typically introduces artifacts associated witht he basis ...
  • A Wavelet-Based Statistical Model for Image Restoration 

    Wan, Yi; Nowak, Robert David (2001-10-20)
    In this paper we develop a wavelet-based statistical method for solving the image restoration problem. In this approach, a signal prior is set up by modeling the image wavelet coefficients as independent Gaussian mixture ...