Dual spherical spline: A new representation of ruled surface optimization

Zhou Y, Schulze J, Schäffler S (2012)


Publication Type: Conference contribution

Publication year: 2012

Pages Range: 1193-1198

Conference Proceedings Title: 2012 12th International Conference on Control, Automation, Robotics and Vision, ICARCV 2012

Event location: CHN

ISBN: 9781467318716

DOI: 10.1109/ICARCV.2012.6485356

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. © 2012 IEEE.

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APA:

Zhou, Y., Schulze, J., & Schäffler, S. (2012). Dual spherical spline: A new representation of ruled surface optimization. In 2012 12th International Conference on Control, Automation, Robotics and Vision, ICARCV 2012 (pp. 1193-1198). CHN.

MLA:

Zhou, Yayun, Jörg Schulze, and Stefan Schäffler. "Dual spherical spline: A new representation of ruled surface optimization." Proceedings of the 2012 12th International Conference on Control, Automation, Robotics and Vision, ICARCV 2012, CHN 2012. 1193-1198.

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