Faithful recovering of quadric surfaces from 3D range data

Proceedings - 2nd International Conference on 3-D Digital Imaging and Modeling, 3DIM 1999

Volumn , Issue , 1999, Pages 280-289

  Werghi, N ^a   Fisher, R B ^a   Ashbrook, A ^a   Robertson, C ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRIC RELATIONSHIPS; OBJECT MODELLING; OBJECT RECOGNITION AND LOCALIZATION; QUADRIC SURFACES; RANGE DATA; REAL OBJECTS; RELIABLE METHODS;

OBJECT RECOGNITION;

EID: 0011277411     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IM.1999.805358     Document Type: Conference Paper

References (15)

1. R.M.Bolle, D.B.Cooper, On Optimally Combining Pieces of Information, with Application to Estimating 3-D Complex-Object Position from Range Data, IEEE Trans. PAMI, Vol.8, No.5, pp.619-638, September 1986.
2. C.G Broyden, N.F. Attia, Penalty Functions, Newton's Method and Quadratic Programming, Journal of optimization theory and applications, Vol.58, No.3, 1988.
3. O.D.Faugeras and M. Hebert, The Representation, Recognition and Positioning of 3-D Shapes from Range Data, in Techniques for 3-D Machine Perception, ed. A. Rosenfeld, North-Holland, Amsterdam, 1986.
4. R.Fletcher, Practical Methods of Optimization, John Wiley &Sons, 1987.
5. P.J.Flynn, A.K.Jain. Surface Classification: hypothesizing and Parameter Estimation, Proc. IEEE Comp. Soc. CVPR, pp. 261-267. June 1988
6. K.T.Gunnarsson, F.B. Prinz. CAD model-based loacalization of parts in manufacturing, IEEE Comput., Vol.20, No.8, pp. 66-74, Aug. 1987.
7. A. Hoover, G. Jean-Baptiste, X. Jiang, P. J. Flynn, H. Bunke, D. Goldgof, K. Bowyer, D. Eggert, A. Fitzgibbon, R. Fisher. An Experimental Comparison of Range Segmentation Algorithms. IEEE Trans. PAMI, Vol.18, No.7, pp.673-689, July 1996.
8. S.Kumar, S.Han, D.Goldgof, K.Boyer. On Recovering Hyperquadrics from Range data, IEEE Trans. PAMI, Vol.17, No.11, pp.1079-1083,November 1995.
9. Z.Lei, D.B Cooper. Linear Programming Fitting of Implicit Polynomials, IEEE Trans. PAMI, Vol.20, No.2, pp.212-217, February 1998.
10. G. Lukacs, A.D. Marshall and R.R. Martin. Faithful least-squares fitting of spheres, cylinders, cones and tori for reliable segmentation, Proc. ECCV'98, Vol.1 pp.671-686, Friburg, Germany, June 1998.
11. V.Pratt, Direct Least-squares Fitting of Algebraic Surfaces, Computer Graphics, Vol.21, pp.145-152, 1987
12. S.Sullivan, L.Sandford, J.Ponce, Using Geometric Distance Fits for 3-D object Modelling and Recognition, IEEE Trans. PAMI, Vol. 16, No.12, pp. 1183-1196, December 1994.
13. G. Taubin, Estimation of Planar Curves, Surfaces and Nonplanar Space Curves Defined by Implicit Equations with Applications to Edge and Range Image Segmentation. IEEE Trans. PAMI, Vol.13, No.11, November 1991
14. G.Taubin, An Improved Algorithm For Algebraic Curve and Surface Fitting, Proc. ICCV'93, Berlin, Germany, pp.658-665, May 1993.
15. N.Werghi, R.B.Fisher, A.Ashbrook, C.Robertson, Modelling Objects Having Quadric Surfaces Incorporating Geometric Constraints, Proc. ECCV'98, pp.185-201, Friburg, Germany, June 1998.