Digitization of planes: approximation and convergence

Yukiko Kenmochi; Atsushi Imiya

doi:10.1117/12.292784

20 October 1997 Digitization of planes: approximation and convergence

Yukiko Kenmochi, Atsushi Imiya

Proceedings Volume 3168, Vision Geometry VI; (1997) https://doi.org/10.1117/12.292784
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

The representation process of 3D objects in Euclidean space for computers is divided into the following two stages; approximation of an object as a polyhedron which is bounded by a number of planes, and digitization of points on the approximate polyhedron. In this paper, we focus on planes which form the boundary of polyhedra, and clarify the process of digitization of planes. We also analyze the geometric and topological properties of digitized plane as the resolutions increase.

Citation Download Citation

Yukiko Kenmochi and Atsushi Imiya "Digitization of planes: approximation and convergence", Proc. SPIE 3168, Vision Geometry VI, (20 October 1997); https://doi.org/10.1117/12.292784

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