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Stripification of Free-Form Surfaces With Global Error Bounds for Developable Approximation

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3 Author(s)
Yong-Jin Liu ; Dept. of Comput. Sci. & Technol., Tsinghua Univ., Beijing, China ; Yu-Kun Lai ; Shimin Hu

Developable surfaces have many desired properties in the manufacturing process. Since most existing CAD systems utilize tensor-product parametric surfaces including B-splines as design primitives, there is a great demand in industry to convert a general free-form parametric surface within a prescribed global error bound into developable patches. In this paper, we propose a practical and efficient solution to approximate a rectangular parametric surface with a small set of C 0 -joint developable strips. The key contribution of the proposed algorithm is that, several optimization problems are elegantly solved in a sequence that offers a controllable global error bound on the developable surface approximation. Experimental results are presented to demonstrate the effectiveness and stability of the proposed algorithm.

Published in:

IEEE Transactions on Automation Science and Engineering  (Volume:6 ,  Issue: 4 )