Constraint relationship for reflectional symmetry and rotational symmetry

Dinggang Shen; Horace H. S. Ip; Eam-Khwang Teoh

doi:10.1117/1.1407264

1 October 2001 Constraint relationship for reflectional symmetry and rotational symmetry

Dinggang Shen, Horace H. S. Ip, Eam-Khwang Teoh

Author Affiliations +

Journal of Electronic Imaging, Vol. 10, Issue 4, (October 2001). https://doi.org/10.1117/1.1407264

A novel theorem linking reflectional symmetry and rotational symmetry has been established in this paper. This theorem constrains that, for a rotationally symmetric image with K?1 fold(s) (K-RSI), its number of reflection-symmetric axes must be either K or zero. The novel constraint theorem provides the guidance for the procedure of symmetry detection. It has been demonstrated by the experiments included in this paper.

©(2001) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Dinggang Shen, Horace H. S. Ip, and Eam-Khwang Teoh "Constraint relationship for reflectional symmetry and rotational symmetry," Journal of Electronic Imaging 10(4), (1 October 2001). https://doi.org/10.1117/1.1407264

Published: 1 October 2001

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