Quasi-moments under the projected rotation group

Masaru Tanaka

doi:10.1117/12.206793

21 April 1995 Quasi-moments under the projected rotation group

Masaru Tanaka

Proceedings Volume 2501, Visual Communications and Image Processing '95; (1995) https://doi.org/10.1117/12.206793
Event: Visual Communications and Image Processing '95, 1995, Taipei, Taiwan

Abstract

In this paper, we consider the projected rotation group which consists of projection and rotations in 3D and give some invariant feature extractors. Based on the theory of Lie algebra, the representation of the projected rotation group is obtained. Therein it is shown that the basis of the representation can be an orthonormal basis. With this orthonormal basis, we can construct quasi moment which is a kind of a weighted moment. It is also shown that the quasi moments which are closed in their orders under the projected rotation group. By computer simulations, some experiments for 3D motion analysis with the quasi moments are given.

Citation Download Citation

Masaru Tanaka "Quasi-moments under the projected rotation group", Proc. SPIE 2501, Visual Communications and Image Processing '95, (21 April 1995); https://doi.org/10.1117/12.206793

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