Recognition and reconstruction of developable surfaces from point clouds

Proceedings - Geometric Modeling and Processing 2004

Volumn , Issue , 2004, Pages 301-310

  Peternell, Martin ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

CARTESIAN COORDINATES; GAUSSIAN CURVATURE; PARAMETERIZATION;

ALGORITHMS; APPROXIMATION THEORY; CLASSIFICATION (OF INFORMATION); COMPUTATIONAL GEOMETRY; DATA REDUCTION; PARAMETER ESTIMATION; PATTERN RECOGNITION; PROBLEM SOLVING; VECTORS;

IMAGE RECONSTRUCTION;

EID: 4544256914     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/GMAP.2004.1290051     Document Type: Conference Paper

References (17)

1. R. Bodduluri and B. Ravani. Geometric design and fabrication of developable Bézier and B-spline surfaces. Transactions of the ASME, Journal of Mechanical Design, 116:1042-1048, 1994.
2. J. Chalfant and T. Maekawa. Design for manufacturing using b-spline developable surfaces. Journal of Ship Research, 42, 3:207-215, 1998.
3. H. Chen, I. Lee, S. Leopoldseder, H. Pottmann, T. Randrup, and J. Wallner. On surface approximation using developable surfaces. Graphical Models and Image Processing, 61:110-124, 1999.
4. W. Frey and C. Wampler. Boundary triangulations approximating developable surfaces. Technical Report 8997, GM Research and Development Center, 1999.
5. J. Hoschek. Dual bezier curves and surfaces. In R. Barnhill and W. Boehm, editors, Surfaces in Computer Aided Geometric Design, pages 147-156. North Holland, 1993.
6. J. Hoschek and D. Lasser. Fundamentals of Computer Aided Geometric Design. AK Peters, Wellesley, MA, 1993.
7. J. Hoschek and H. Pottmann. Interpolation and approximation with developable B-spline surfaces. In M. Daehlen, T. Lyche, and L. Schumaker, editors, Mathematical Methods for Curves and Surfaces, pages 255-264. Vanderbilt University Press, Nashville, TN, 1995.
8. B. Jüttler and R. Dietz. A geometrical approach to interpolation on quadric surfaces. In P. Laurent, A. L. Méhauté, and L. Schumaker, editors, Curves and surfaces in geometric design, pages 251-258. AK Peters, 1994.
9. I. Lee. Curve reconstruction from unorganized points. Computer Aided Geometric Design, 17:161-177, 2000.
10. S. Leopoldseder and H. Pottmann. Approximation of developable surfaces with cone spline surfaces. Computer-Aided Design, 30:571-582, 1998.
11. A. Nutbourne and R. Martin. Differential Geometry Applied to Curve and Surface Design, Vol.1, Foundations. Ellis Horwood, Chichester, 1988.
12. F. Park, J. Yu, C. Chun, and B. Ravani. Design of developable surfaces using optimal control. Transactions of the ASME, Journal of Mechanical Design, 124:602-608, 2002.
13. M. Peternell and H. Pottmann. Approximation in the space of planes - applications to geometric modeling and reverse engineering. RACSAM (Journal of the National Academy of Sciences of Spain, Series A, Mathematics), 96:243-256, 2002.
14. H. Pottmann and G. Farin. Developable rational Bézier and B-spline surfaces. Computer Aided Geometric Design, 12:513-531, 1995.
15. H. Pottmann and J. Wallner. Approximation algorithms for developable surfaces. Computer Aided Geometric Design, 16:539-556, 1999.
16. H. Pottmann and J. Wallner. Computational Line Geometry. Springer, Berlin-Heidelberg-New York, 2001.
17. T. Várády and R. Martin. Reverse engineering. In G. Farin, J. Hoschek, and M. Kim, editors, Handbook of Computer Aided Geometric Design, pages 651-681. Elsevier, 2002.