Rotational invariant visual object extraction and understanding

Igor V. Ternovskiy; Tomasz P. Jannson

doi:10.1117/12.395059

4 August 2000 Rotational invariant visual object extraction and understanding

Proceedings Volume 4052, Signal Processing, Sensor Fusion, and Target Recognition IX; (2000) https://doi.org/10.1117/12.395059
Event: AeroSense 2000, 2000, Orlando, FL, United States

Abstract

In this paper, we discuss a novel method, base don singularity representation, for integrating a rotational invariant visual object extraction and understanding technique. This new compression method applies Arnold's Differential Mapping Singularities Theory in the context of 3D object projection onto the 2D image plane. It takes advantage of the fact that object edges can be interpreted in terms of singularities, which can be described by simple polynomials. We discuss the relationship between traditional approaches, including wavelet transform and differential mapping singularities theory or catastrophe theory (CT) in the context of image understanding and rotational invariant object extraction and compression. CT maps 3D surfaces with exact results to construct an image-compression algorithm based on an expanded set of operations. This set includes shift, scaling rotation, and homogeneous nonlinear transformations. This approach permits the mathematical description of a ful set of singularities that describes edges and other specific points of objects. The edges and specific points are the products of mapping smooth 3D surfaces, which can be described by a simple set of polynomials that are suitable for image compression and ATR.

Citation Download Citation

Igor V. Ternovskiy and Tomasz P. Jannson "Rotational invariant visual object extraction and understanding", Proc. SPIE 4052, Signal Processing, Sensor Fusion, and Target Recognition IX, (4 August 2000); https://doi.org/10.1117/12.395059

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available