Wavelets for Compression of Image-Like Data

Abstract

The objective of this report is to give a brief descriptive summary of the research findings on the research project under ARO Contract DAAH04-95-1-0193, sponsored by SDIO/IST and managed by the U.S. Army Research Office. This is a three-year research grant with a one-year no-cost extension. Technical details are not included in this report, since most of the results have been reported semi-annually. The research findings can be divided into five groups. Group 1, which consists of papers 19, 20, and 21, is aimed at building the mathematical theory for our research on formulation and characterization of wavelets, splines, and other local basis functions. Group 2, which consists of papers 2, 3, 15, 16, 23, 24, and 25, is a compilation of research work on wavelet foundation, theory, methods, algorithms, and computational schemes. Group 3, which consists of papers 1, 4, and 9, is focused on the stability study and approximation order of bi-variate splines. Group 4, which consists of papers 5, 10, 11, 12, 17,18, and 22, is focused on the third type of local basis functions, namely, localized sinusoidal functions. Finally, Group 5, which consists of papers 6, 7, 8, 13, and 14, is concerned with applications, particularly on wavelet feature extraction and compression of image-like data.

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Document Details

Document Type
Technical Report
Publication Date
Apr 22, 1999
Accession Number
ADA365154

Entities

People

  • Charles K. Chui

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Compression
  • Computers
  • Data Compression
  • Feature Extraction
  • Frequency
  • Generators
  • Image Compression
  • Invariance
  • Military Research
  • Numbers
  • Phase Shift
  • Scientists
  • Signal Processing
  • Sinusoidal Functions
  • Triangulation
  • Wavelet Transforms

Readers

  • Approximation Theory.
  • Image Processing and Computer Vision.
  • Technical Research and Report Writing.

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms