Accession Number : ADA185719

Title :   A Unified Mathematical Approach to Image Analysis.

Descriptive Note : Final technical rept. 1 Sep 83-30 Apr 87,

Corporate Author : BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Personal Author(s) : Geman, Stuart ; Geman, Donald ; McClure, Donald E ; Grenander, Ulf

PDF Url : ADA185719

Report Date : 31 Aug 1987

Pagination or Media Count : 56

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.

Descriptors :   *ALGORITHMS, *DIGITAL SYSTEMS, *IMAGE PROCESSING, *IMAGES, *TOMOGRAPHY, ARMY RESEARCH, BOUNDARIES, DETECTION, ESTIMATES, GLOBAL, MATHEMATICAL MODELS, MATHEMATICS, NONPARAMETRIC STATISTICS, PATTERNS, PICTURES, SEGMENTED, SIZES(DIMENSIONS), STATISTICAL ANALYSIS, THEORY

Subject Categories : Target Direction, Range and Position Finding
      Computer Systems

Distribution Statement : APPROVED FOR PUBLIC RELEASE