Optical implementation of high-accuracy computing based on interval arithmetic and fixed point theorem

Toru Sasaki; Jun Tanida; Yoshiki Ichioka

doi:10.1117/1.602126

1 March 1999 Optical implementation of high-accuracy computing based on interval arithmetic and fixed point theorem

Toru Sasaki, Jun Tanida, Yoshiki Ichioka

Optical Engineering, Vol. 38, Issue 3, (March 1999). https://doi.org/10.1117/1.602126

We experimentally implement a new method for high- accuracy optical computing using interval arithmetic and the fixed-point theorem. In the implementation, a fixed point of an affine transformation is calculated by a Tv feedback system. Employing interval arithmetic, the errors associated with an optical setup can be ignored. We evaluate two constraints on the optical system that seriously affect computing efficiency. The minimum value of computational accuracy achieved is 10-13, which is determined by the control accuracy of the required affine transformation coefficients.

Citation Download Citation

Toru Sasaki, Jun Tanida, and Yoshiki Ichioka "Optical implementation of high-accuracy computing based on interval arithmetic and fixed point theorem," Optical Engineering 38(3), (1 March 1999). https://doi.org/10.1117/1.602126

Published: 1 March 1999

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