Curve shape modification and similarity evaluation

CIMCA 2006: International Conference on Computational Intelligence for Modelling, Control and Automation, Jointly with IAWTIC 2006: International Conference on Intelligent Agents Web Technologies ...

Volumn , Issue , 2006, Pages 227-

  Kuragano, Tetsuzo ^a   Yamaguchi, Akira ^a  

^a MEISEI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; LEAST SQUARES APPROXIMATIONS; STANDARDS;

B-SPLINE CURVE; CURVATURE DISTRIBUTION; VISUAL RECOGNITION;

COMPUTER AIDED DESIGN;

EID: 38849121441     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CIMCA.2006.78     Document Type: Conference Paper

References (17)

1. W.H Frey, DA Field, "Designing Bézier conic segments with monotone curvature", Computer Aided Geometric Design, 17, (2000), 457-483.
2. M Kuroda, M Higashi, T Saitoh, Y Watanabe, T Kuragano, "Interpolating curve with B-spline curvature function", Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, Nashville, TN, (1998), 303-310.
3. H Guan, T Torii, "Modifying curvatures at design points for convex B-spline curves", IEEE, (1997), 223-229.
4. J Poliakoff, Y Wong, P Thomas, "An automated curve fairing algorithm for cubic B-spline curves", Journal of Computational and Applied Mathematics, 102, (1999), 73-85.
5. J.A.P Kjellander, "Smoothing of cubic parametric splines", Computer Aided Design, 15, 3, (may, 1983), 175-179.
6. C Zhang, P Zhang, F Cheng, "Fairing spline curve and surface by minimizing energy", Computer Aided Design, 33, (2001), 913-923.
7. X Yang, G Wang, "Planar point set fairing and fitting by arc splines", Computer Aided Design, 33 (2001), 35-43.
8. W Li, S Xu, J Zheng, G Zhao, "Target curvature driven fairing algorithm for planar cubic B-spline curves", Computer Aided Geometric Design, 21, (2004), 499-513.
9. M.J.Atallah, "A linear time algorithm for the Hausdorff distance between convex polygons," Information Processing Letters, vol.17, pp. 207-209, 1983.
10. D.P.Huttenlocher and Klar Kedem, "Computing the minimum Hausdorff distance for point sets under translation," Proceedings of the sixth annual symposium on computational geometry. ACM Press, pp. 340-349, 1990.
11. H.Alt and Michael Godau, "Computing the Fréchet distance between two polygonal curves," International Journal of Computational Geometry and Applications, vol.5, Nos. 1 and 2, World Scientific Publishing Company, pp. 75-91, 1995.
12. H.Alt, C.Knauer and C.Wenk, "Matching polygonal curves with respect to the Fréchet distance," Proceedings 18th International Symposium on Theoretical Aspects of Computer Science, pp. 63-74, 2001.
13. D.J.Lee, S.Antani and L.R.Long, "Similarity measurement using polygon curve representation and Fourier Descriptors for shape-based vertebral image retrieval," Proceeding of SPII Medical Imaging: Image Processing, San Diego, CA, SPIE,vol.5032, Part3, pp. 1283-1291, 2003.
14. E.Persoon and K.S.Fu, "Shape discrimination using Fourier Descriptors," IEEE Transactions on Systems, Man, and Cybernetics, vol.SMC-7, no.3, pp. 170-179.
15. C. deBoor, "On calculating with B-spline", Japprox. Theory, 6(1), (1972), 50-62.
16. D Marsh, "Applied Geometry for Computer Graphics and CAD", Springer-Verlag, 2005, 188.
17. Eugene V. Shikin.: Hand Book and Atlas of CURVES. CRC Press BocaRaton, Florida, (1995), 29.