0
RESEARCH PAPERS

Error-Free Interpolation of Parametric Surfaces

[+] Author and Article Information
J. G. Gan

Nanyang Technological University, Singapore

T. C. Woo

University of Michigan, 1205 Beal Ave., Ann Arbor, MI 48109-2117

J. Eng. Ind 114(3), 271-276 (Aug 01, 1992) (6 pages) doi:10.1115/1.2899791 History: Received December 01, 1989; Revised February 01, 1991; Online April 08, 2008

Abstract

A Digital Differential analyzer (DDA) is a cost effective implementation for interpolating parametric curves and surfaces. However, the problems of register overflow and integer round-off have prevented it from being adopted by industry. Contrary to intuition, an increase in register capacity is shown to have no bearing on the register overflow problem. It is shown that there is a minimum number of interpolation steps K l below which register overflow occurs. Correspondingly, it is also shown that there exists a maximum number of interpolation steps K u above which the accumulation of integer round-off errors exceeds the acceptable limit. But, when K l >K u , conflict arises. A solution is given to resolve the possible conflict and to yield an error-free interpolation of curves and surfaces.

Copyright © 1992 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In