Stable Feature Classification in the Wavelet Domain

Abstract

This research project studied the mathematics of adapted wavelet transforms, which underlie some highly successfull algorithms for feature detection and classification. The investigators surveyed five feature detection methods, evaluating them empirically on reasonably large data sets to find their weakest points. In addition, new methods have been found for characterizing and constructing wavelets. Newly discovered equations characterizing orthonormal wavelet bases can be applied, along with more classical constructions, to create new families of wavelets and similar functions. These provide connectivity and allow new dilation structures and translations by new lattices. Research supported by this grant in its final year has resulted in ten referred publications that appeared in 1999 or were accepted for publication.

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Document Details

Document Type
Technical Report
Publication Date
Mar 02, 2000
Accession Number
ADA379900

Entities

People

  • Guido L. Weiss
  • M. V. Wickerhauser

Organizations

  • University of Washington

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Application Software
  • Artificial Intelligence
  • Computational Science
  • Construction
  • Data Compression
  • Data Sets
  • Detection
  • Differential Equations
  • Equations
  • Functional Analysis
  • Harmonic Analysis
  • Image Compression
  • Image Processing
  • Low Pass Filters
  • Mathematics
  • New Zealand

Readers

  • Graph Algorithms and Convex Optimization.
  • Image Processing and Computer Vision.
  • Theoretical Analysis.