A theoretical approach to construct free form surfaces is presented. We develop the concepts that arise when a free form surface is generated by tracing a mesh, using differentiable manifold theory, and generalizing the B-spline scheme. This approach allows us to define a family of practical schemes. Four different applications of the generic approach are also presented in this paper.
A Generic Approach to Free Form Surface Generation
Contributed by the Engineering Simulation and Visualization Committee for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received September 2002; revised manuscript received January 2003. Guest Editors N. Patrikalakis and K. Lee.
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Cotrina-Navau, J., Pla-Garcia, N., and Vigo-Anglada, M. (March 26, 2003). "A Generic Approach to Free Form Surface Generation ." ASME. J. Comput. Inf. Sci. Eng. December 2002; 2(4): 294–301. https://doi.org/10.1115/1.1559579
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