Isophote interpolation

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Authors: Xu, H.Y., Tam, H.Y. and Zhang, J.J.

Journal: CAD Computer Aided Design

Volume: 35

Issue: 14

Pages: 1337-1344

ISSN: 0010-4485

DOI: 10.1016/S0010-4485(03)00063-0

The isophote is an important class of characteristic curves on a parametric surface. Accordingly, as a kind of feature based path generation method, isophote based tool paths has been proposed as an important path pattern for parametric surface machining. In this paper, an approach has been proposed for the isophote interpolation on a parametric surface. The paper has related the arc-length derivatives to time derivatives of parameters along the isophote. The results are then used to derive the parametric interpolation. The isophote curve interpolation is developed based on parametric interpolation. The proposed interpolation guarantees that interpolated points always stay on the parametric surface. An improvement interpolation has been presented to alleviate inclination errors and point deviation from the isophote. Simulations of isophote interpolation have been carried out to verify the effectiveness of the proposed algorithm. The proposed algorithm has applications in real time tool path interpolation for the machining of parametric surfaces. © 2003 Elsevier Ltd. All rights reserved.

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