Abstract
According to differential geometry of surface theories, this paper researches on a surface fitting algorithm based on surface patches splicing. Space curved surface is decomposed into several surface patches, and then, surface model is established based on the quadratic equation. During the establishment of multiple nonlinear equations, the equal mean curvature and continuous surface works as boundary constraint conditions. For each patch, the nonlinear equations are solved by using single rank inverse Broyden quasi Newton method to obtain the parametric equation of the surface patch. Through the recursion, the patches can be spliced and it can realize the surface reconstruction. Finally, simulations are carried out in the Matlab environment and the experimental results show that the surface fitting algorithm can effectively reconstruct the large deformation surface, so it is feasible for space surfaces reconstruction.
This research is supported by program of National Nature Science Foundation of China (No.51175319), and key program of Shanghai Municipal Education Commission.
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© 2012 Springer-Verlag Berlin Heidelberg
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Qiao, X., Zhang, H., Xu, J., Zhu, X. (2012). Research and Simulation of Surface Fitting Algorithm Based on Surface Patches Splicing. In: Xiao, T., Zhang, L., Fei, M. (eds) AsiaSim 2012. AsiaSim 2012. Communications in Computer and Information Science, vol 324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34390-2_33
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DOI: https://doi.org/10.1007/978-3-642-34390-2_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34389-6
Online ISBN: 978-3-642-34390-2
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