Abstract
Many surfaces can be modeled by interpolating data points digitized from existing products. But the digitized data points could have measuring errors. To adjust the points, fairing is performed. We present an automatic local fairing algorithm using nonlinear programming. For the objective function of the algorithm, we derive discrete fairness metrics. The metrics are consisted of discrete principal curvatures. The discrete principal curvatures are calculated with the given data points.
This research was supported by Brain Korea 21 grant.
Chapter PDF
Similar content being viewed by others
References
Choi, B. K.: Surface Modeling for CAD/CAM. Elsevier, Amsterdam Oxford New York Tokyo (1991) 25–29
Eck, M. and Jaspert, R.: Automatic Fairing of Point Sets. Designing Fair Curves and Surfaces. Society for Industrial and Applied Mathematics, Philadelphia (1994) 45–60
Lott, N. J. and Pullin, D. I.: Method for Fairing B-spline Surfaces. Computer-Aided Design. 10 (1988) 597–604
O’Neill, B.: Elementary Differential Geometry. Academic Press (1966) 199–202
Rando, T. and Roulier, J. A.: Measures of Fairness for Curves and Surfaces. Designing Fair Curves and Surfaces. Society for Industrial and Applied Mathematics, Philadelphia (1994) 75–122
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hong, SY., Hong, CS., Lee, HC., Park, K. (2001). Discrete Local Fairing of B-Spline Surfaces. In: Alexandrov, V.N., Dongarra, J.J., Juliano, B.A., Renner, R.S., Tan, C.J.K. (eds) Computational Science — ICCS 2001. ICCS 2001. Lecture Notes in Computer Science, vol 2073. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45545-0_80
Download citation
DOI: https://doi.org/10.1007/3-540-45545-0_80
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42232-7
Online ISBN: 978-3-540-45545-5
eBook Packages: Springer Book Archive