Topological Modeling and Stochastic Analysis of Images

Abstract

In this report, we include the dissertation thesis the grant has funded together with a list of publications, and invitations the funded research has generated. Concepts in classification and recognition problems. 1. We have explored the potential of combining geometrical as well as topological information in capturing the essence of an object for classification and recognition purposes. The geometrical information within a topologically homogeneous part of an object is captured through a set of level curves, while the topology is extracted from the singular points. 2. Defining probability models on manifolds as would be required by the surface of an object remains a challenging topic. The approach here exploits a triangulated approximation on which a geodesic is defined to capture the nonlinear intrinsic structure of an object surface. 3. Obtaining distribution for objects in turn allows us to compare them by IT measures.

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Document Details

Document Type
Technical Report
Publication Date
Apr 30, 2004
Accession Number
ADA424464

Entities

People

  • Hamid Krim

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Air Platforms
  • Biomedical
  • Engineered Resilient Systems

DTIC Thesaurus Topics

  • Animal Structures
  • Calculus Of Variations
  • Computational Science
  • Computer Graphics
  • Computer Vision
  • Coordinate Systems
  • Databases
  • Differential Equations
  • Geometric Forms
  • Geometry
  • Image Processing
  • Partial Differential Equations
  • Recognition
  • Signal Processing
  • Three Dimensional
  • Topology
  • Two Dimensional

Readers

  • Computer Vision.
  • Theoretical Analysis.