A Unified Mathematical Approach to Image Analysis.

Abstract

This report describes a unified approach to the mathematical modelling and statistical analysis of pictures. The results reported here were derived from the research project 'Nonparametric Estimation by the Model of Sieves' supported by the U.S. Army Research Office, Contract DAAG29-83K-0116 to Brown University. Early in the project, the investigations focused on the estimation of (properties of) digitized images; this focus was a natural extension of our earlier work on the method of sieves of regularizing statistical estimates of infinite dimensional objects and the groundwork that had been laid for General Pattern Theory. The present report presents the Bayesian paradigm for mathematical modeling and analysis of digital images and then describes four instances of the paradigm in detail. Directions for ongoing and future research are also indicated. Keywords: Image processing; Algorithms; Segmentation; Boundary detection; tomography; Global image analysis.

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Document Details

Document Type
Technical Report
Publication Date
Aug 31, 1987
Accession Number
ADA185719

Entities

People

  • Donald E. Mcclure
  • Donald Geman
  • Stuart Geman
  • Ulf Grenander

Organizations

  • Brown University

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Bayesian Networks
  • Computational Science
  • Computer Vision
  • Detection
  • Detectors
  • Image Processing
  • Information Processing
  • Information Science
  • Monte Carlo Method
  • Probabilistic Models
  • Probability Distributions
  • Random Variables
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Three Dimensional
  • Two Dimensional

Readers

  • Computer Vision.
  • Statistical inference.
  • Theoretical Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference