Elsevier

Computer-Aided Design

Volume 26, Issue 11, November 1994, Pages 832-838
Computer-Aided Design

Realtime curve interpolators

https://doi.org/10.1016/0010-4485(94)90097-3Get rights and content

Abstract

The amount of geometric information that must be transferred between a cad system and a computerized numerical control system creates a conflict between part precision on the one hand and feedrate fidelity and communications load on the other. This is the motivation for the development of new curve interpolation algorithms for CNC. The interpolation depends on the method of curve representation, i.e. the use of an implicit or a parametric from. Accordingly, the paper presents two realtime interpolation algorithms and compares them with existing cad interpolators. With the new interpolators, the amount of geometric information transferred from the cad system to the CNC system is reduced by orders of magnitude. Moreover, the contour errors caused by the new interpolators are much smaller than those caused by conventional cad interpolators.

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Moshe Shpitalni received a BSc (1972), an MSc (1975) and a PhD (1980) in mechanical engineering from the Technion-Israel Institute of Technology. In 1983, after two years at Rensselaer Polytechnic Institute, USA, he joined the faculty of the Technion, where he is now an associate professor and head of the Laboratory for Interactive Computer Graphics and CAD, His research interests are in the applications of geometrical modelling and reasoning to manufacturing systems, cim, automatic process planning, and CNC. He is particularly interested in the manufacture of sheet metal products and automatic assembly.

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Yoram Koren received a BSc and and MSc in electrical engineering and a DSc (1970) in mechanical engineering from the Technion-Israel Institute of Technology. He is the Paul G Goebel Professor of Mechanical Engineering and Applied Mechanics at the University of Michigan, USA. He is the author of many publications on automated manufacturing, and the inventor of work covered by three US patents in robotics.

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Chih-Ching Lo received a BS in power mechanical engineering from the National Tsing-Hua University, Taiwan, in 1984. He received an MS and a PhD in mechanical engineering from the University of Michigan, USA, in 1989 and 1992, respectively. He later joined the staff of the Mechanical Engineering Department, Feng-Chia University, Taiwan.

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