Abstract
A fairing method for digitized curves, based on neural network optimization, is presented in this paper. The energy function and constraints of a digitized curve are given first, with which the fairing process is converted into a quadratic optimization problem. A neural network is then used to solve the optimization problem. Fairness adjustment of points’ position is realized by this optimization. An application to binary image magnification is illustrated, which shows better result than other methods.
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References
Zhu, X., et al.: Modeling Technology of Free Form Curves and Surfaces. Science Press, Beijing (2000) (in Chinese)
More, I.J., Toraldo, G.: On the solution of Large Quadratic Programming Problems with Bound Constraints. SIAM J. Optimization 1, 93–113 (1991)
Bouzerdoum, A.: Neural Network for Quadratic Optimization with Bound Constraints. IEEE Trans. On Neural Networks 4, 293–303 (1993)
Castleman, K.R.: Digital Image Processing. Prentice-Hall International Inc., Englewood Cliffs (1996)
Shi, F.: Computer Aided Geometric Design and Non-Uniform Rational B-spline. Beijing University of Aeronautics & Astronautics Press, Beijing (1994)
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© 2005 Springer-Verlag Berlin Heidelberg
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Hou, J., Ou, Z., Guo, M. (2005). Neural Network Based Fairing of Digitized Curves and Its Application. In: Wang, J., Liao, XF., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427445_137
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DOI: https://doi.org/10.1007/11427445_137
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25913-8
Online ISBN: 978-3-540-32067-8
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