Steerable filter for 3D euclidian motion

Yasunori Nishimori

doi:10.1117/12.364089

23 September 1999 Steerable filter for 3D euclidian motion

Yasunori Nishimori

Proceedings Volume 3811, Vision Geometry VIII; (1999) https://doi.org/10.1117/12.364089
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

In this paper we formulate steerable filters as the representations of transformation groups. The transformation groups on the image plane considered thus far concentrate on rotation, scaling, and translation. So we construct the steerable filter for the projective rotation group based on the representation of the projective rotation group. We further discuss the steerability for the 3D Euclidean motion group from the standpoint of the representation of the Euclidean motion group. We also show a given image can be expanded with steerable functions, which is a special case of Fourier transform on Lie groups.

Citation Download Citation

Yasunori Nishimori "Steerable filter for 3D euclidian motion", Proc. SPIE 3811, Vision Geometry VIII, (23 September 1999); https://doi.org/10.1117/12.364089

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