Projected motion group and quasi moment

Masaru Tanaka

doi:10.1117/12.198609

4 January 1995 Projected motion group and quasi moment

Masaru Tanaka

Proceedings Volume 2356, Vision Geometry III; (1995) https://doi.org/10.1117/12.198609
Event: Photonics for Industrial Applications, 1994, Boston, MA, United States

Abstract

By considering all 2D transformations on image patterns, Otsu has shown that the moment feature is a kind of linear feature extractor from patterns and they are closed under such transformations. But the projections from 3D space onto 2D space are not considered. In order to recognize 3D motions from 2D images, the projections should be considered. So in this paper, the representation of the projected motion group is considered through Lie algebraic methods. We give the explicit formula of the bases of its representation. It is shown that the bases can be orthonormal bases. The quasi moments are defined and also shown to be closed in their order under the projected rotation group.

Citation Download Citation

Masaru Tanaka "Projected motion group and quasi moment", Proc. SPIE 2356, Vision Geometry III, (4 January 1995); https://doi.org/10.1117/12.198609

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