NDLI: Strip Approximation Using Developable Bézier Patches: A Local Optimization Approach

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Strip Approximation Using Developable Bézier Patches: A Local Optimization Approach

Content Provider	Scilit
Author	Chu, Chih-Hsing Wang, Charlie C. L. Tsai, Chi-Rung
Copyright Year	2007
Description	Journal: Computer-Aided Design and Applications This paper proposes a geometric design method for approximation of a strip defined by two space curves with freeform developable surfaces. Given a ruling defined by two sample points taken from each curve it calculates the feasible patches starting with the ruling. A local optimal solution is selected among them in terms of surface assessment criteria based on a heuristic algorithm. An aggregate of Bézier patches in the conical form either triangular or quadrilateral is thus created. Each patch is then degree elevated to gain extra degrees of freedom. They produce $G^{1}$ across the patch boundaries by modifying the control points while preserving the surface developability. Test examples with different design parameters are illustrated to validate the feasibility of the proposed method. In comparison with previous studies using the BBT (Bridge Boundary Triangulations) method this work allows surface design with freeform developable patches generates better results in the surface assessment and provides more flexible control on the approximation shape. It serves as a simple but effective approach for geometric design of developable surfaces.
Related Links	http://www.cad-journal.net/files/vol_4/CAD_4(6)_2007_731-740.pdf
Ending Page	816
Page Count	10
Starting Page	807
e-ISSN	16864360
DOI	10.1080/16864360.2007.10738513
Journal	Computer-Aided Design and Applications
Issue Number	6
Volume Number	4
Language	English
Publisher	Informa UK Limited
Publisher Date	2007-01-01
Access Restriction	Open
Subject Keyword	Journal: Computer-Aided Design and Applications Mathematical Social Sciences Bézier Patches Developable Surfaces Triangular Patches Quadrilateral Patches Computer-aided Geometric Design
Content Type	Text

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