Nonlinear Wavelet Transforms for Image Coding via Lifting

Abstract

We investigate central issues such as invertibility, stability, synchronization, and frequency characteristics for nonlinear wavelet transforms built using the lifting framework. The nonlinearity comes from adaptively choosing between a class of linear predictors within the lifting framework. We also describe how earlier families of nonlinear filter banks can be extended through the use of prediction functions operating on a causal neighborhood of pixels. Preliminary compression results for model and real-world images demonstrate the promise of our techniques.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2003
Accession Number
ADA495255

Entities

People

  • Geoffrey M. Davis
  • Richard G. Baraniuk
  • Roger L. Claypoole Jr.
  • Wim Sweldens

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Coders
  • Coding
  • Compression
  • Computer Programming
  • Electronic Mail
  • Engineering
  • Filters
  • Frequency
  • Frequency Domain
  • High Pass Filters
  • Image Compression
  • Image Processing
  • Pulse Code Modulation
  • Signal Processing
  • Two Dimensional
  • Wavelet Transforms

Readers

  • Aerodynamics/Aeronautics.
  • Mathematical Modeling and Probability Theory.
  • Neural Network Machine Learning.