NDLI: Dual spherical spline: A new representation of ruled surface optimization

Content Provider	IEEE Xplore Digital Library
Author	Yayun Zhou Schulze, J. Schaffler, S.
Copyright Year	2012
Description	Author affiliation: Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany (Schaffler, S.) \|\| Siemens AG, CT T GTF MSO, Otto-Hahn-Ring 6, 81739 Munich, Germany (Yayun Zhou) \|\| Universität Stuttgart, Pfaffenwaldring 47, 70569 Stuttgart, Germany (Schulze, J.)
Abstract	A ruled surface optimization model is proposed in the paper. It is set up especially to design a blade surface as a ruled surface. In this model, the ruled surface is defined as a dual spherical spline and the control points of the dual spherical spline are served as optimization variables. As points on dual spherical splines correspond to infinite lines in Euclidean space, two directrix curves of a ruled surface are derived by intersecting the ruled surface with the fixed hub and shroud surfaces. In this way, the proposed optimization model can reduce one third number of the variables compared with the conventional ruled surface parametrization methods, such as tensor product surface. Besides, the optimized ruled surface defined as a dual spherical spline has direct link to the manufacturing process.
Starting Page	1193
Ending Page	1198
File Size	211261
Page Count	6
File Format	PDF
ISBN	9781467318716
e-ISBN	9781467318723
e-ISBN	9781467318709
DOI	10.1109/ICARCV.2012.6485356
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-05
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Splines (mathematics) Surface treatment Optimization Vectors Blades Fasteners Geometry Blade Geometry Design Ruled Surface Dual Spherical Spline
Content Type	Text
Resource Type	Article

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