A Determination of a Sufficient Statistics in the Problem of the Recognition of Images Subjected to Admissible Transformations,

Abstract

The report discusses the solution of the problem of determining the sufficient statistics for classifying optical images in pattern recognition, using the concept of permissible transformations. The idea of permissible transformations consists of the fact that a set of images corresponding to one pattern in the absence of noise can be represented as specific transformations of a given standard reference image. The correlation recognition algorithm is based on this concept; it calculates a set of correlation functions and its optimality is determined with the aid of sufficient statistics. The new statistics is called sufficient statistics. The present study shows that the conditional probability density function under specified conditions depends only on two factors (1) the most probable value of the optical transformation parameter, and (2) the square of the distance between the initial image and the reference image. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 17, 1971
Accession Number
AD0731911

Entities

People

  • L. Svyatogor

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Data Science
  • Image Recognition
  • Images
  • Information Science
  • Optical Images
  • Pattern Recognition
  • Probability
  • Probability Density Functions
  • Recognition
  • Standards
  • Statistical Analysis
  • Statistics

Readers

  • Business Analytics
  • Computer Vision.
  • Mathematical Modeling and Probability Theory.

Technology Areas

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