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Industrial design using interpolatory discrete developable surfaces
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DOI：10.1016/j.cad.2011.06.001.png)
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Design using free-form developable surfaces plays an important role in the manufacturing industry. Currently most commercial systems can only support converting free-form surfaces into approximate developable surfaces. Direct design using developable surfaces by interpolating descriptive curves is much desired in industry. In this paper, by enforcing a propagation scheme and observing its nesting and recursive nature, a dynamic programming method is proposed for the design task of interpolating 3D boundary curves with a discrete developable surface. By using dynamic programming, the interpolatory discrete developable surface is obtained by globally optimizing an objective that minimizes tangent plane variations over a boundary triangulation. The proposed method is simple and effective when used in industry. Experimental results are presented that demonstrate its practicality and efficiency in industrial design. (C) 2011 Elsevier Ltd. All rights reserved.
Keyword:
Developable surfaces
Boundary triangulations
Industrial design
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