A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n

Önder Gökmen Yıldız; Murat Tosun; Sidika Özkaldi Karakuş

Research Article

A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n

Year 2013, Volume: 6 Issue: 2, 118 - 124, 30.10.2013

Önder Gökmen Yıldız Murat Tosun Sidika Özkaldi Karakuş

Abstract

Keywords

Curvature flows, inextensible, Euclidean n-space

References

[1] Chirikjian, G. S. and Burdick, J., A modal approach to hyper-redundant manipulator kine- matics, IEEE Trans. Robot. Autom., 10(1994), 343–354.
[2] Chirikjian, G. S., Closed-form primitives for generating volume preserving deformations, ASME J.Mechanical Design, 117(1995), 347–354.
[3] Desbrun, M., Cani-Gascuel, M.-P., Active implicit surface for animation, in: Proc. Graphics Interface Canadian Inf. Process. Soc., 143–150 (1998).
[4] Gage, M., Hamilton, R. S., The heat equation shrinking convex plane curves, J. Differential Geom., 23(1986), 69–96.
[5] Gluck, H., Higher curvatures of curves in Euclidean space, Amer. Math. Month., 73(1966), 699-704.
[6] Grayson, M., The heat equation shrinks embedded plane curves to round points, J. Differen- tial Geom., 26(1987), 285–314.
[7] Gürbüzü, N., Inextensible flows of spacelike, timelike and null curves, Int. J. Contemp. Math.Sciences, 4(2009), 1599-1604.
[8] Hacisalihoğlu, H. H., Differential Geometry, University of I˙n¨onu¨ Press, Malatya, 1983.
[9] Kass, M., Witkin, A., Terzopoulos, D., Snakes: active contour models, in: Proc. 1st Int.Conference on Computer Vision, 259–268 (1987).
[10] Kwon, D. Y., Park, F. C., Chi, D. P., Inextensible flows of curves and developable surfaces, Appl. Math. Lett., 18(2005) 1156-1162.
[11] Kwon, D. Y., Park, F. C., Evolution of inelastic plane curves, Appl. Math. Lett., 12(1999), pp.115-119.
[12] Lu, H. Q., Todhunter, J. S., Sze, T. W., Congruence conditions for nonplanar developable surfaces and their application to surface recognition, CVGIP, Image Underst., 56(1993), 265– 285.
[13] Öğrenmiş, A. O., Yeneroğlu, M., Inextensible curves in the Galilean Space, International Journal of the Physical Sciences, 5(2010), 1424-1427.
[14] Yildiz, O. G., Ersoy, S., Masal, M., A Note on Inextensible Flows of Curves on Oriented e, arXiv:1106.2012v1.

Year 2013, Volume: 6 Issue: 2, 118 - 124, 30.10.2013

Önder Gökmen Yıldız Murat Tosun Sidika Özkaldi Karakuş

Abstract

References

[1] Chirikjian, G. S. and Burdick, J., A modal approach to hyper-redundant manipulator kine- matics, IEEE Trans. Robot. Autom., 10(1994), 343–354.
[2] Chirikjian, G. S., Closed-form primitives for generating volume preserving deformations, ASME J.Mechanical Design, 117(1995), 347–354.
[3] Desbrun, M., Cani-Gascuel, M.-P., Active implicit surface for animation, in: Proc. Graphics Interface Canadian Inf. Process. Soc., 143–150 (1998).
[4] Gage, M., Hamilton, R. S., The heat equation shrinking convex plane curves, J. Differential Geom., 23(1986), 69–96.
[5] Gluck, H., Higher curvatures of curves in Euclidean space, Amer. Math. Month., 73(1966), 699-704.
[6] Grayson, M., The heat equation shrinks embedded plane curves to round points, J. Differen- tial Geom., 26(1987), 285–314.
[7] Gürbüzü, N., Inextensible flows of spacelike, timelike and null curves, Int. J. Contemp. Math.Sciences, 4(2009), 1599-1604.
[8] Hacisalihoğlu, H. H., Differential Geometry, University of I˙n¨onu¨ Press, Malatya, 1983.
[9] Kass, M., Witkin, A., Terzopoulos, D., Snakes: active contour models, in: Proc. 1st Int.Conference on Computer Vision, 259–268 (1987).
[10] Kwon, D. Y., Park, F. C., Chi, D. P., Inextensible flows of curves and developable surfaces, Appl. Math. Lett., 18(2005) 1156-1162.
[11] Kwon, D. Y., Park, F. C., Evolution of inelastic plane curves, Appl. Math. Lett., 12(1999), pp.115-119.
[12] Lu, H. Q., Todhunter, J. S., Sze, T. W., Congruence conditions for nonplanar developable surfaces and their application to surface recognition, CVGIP, Image Underst., 56(1993), 265– 285.
[13] Öğrenmiş, A. O., Yeneroğlu, M., Inextensible curves in the Galilean Space, International Journal of the Physical Sciences, 5(2010), 1424-1427.
[14] Yildiz, O. G., Ersoy, S., Masal, M., A Note on Inextensible Flows of Curves on Oriented e, arXiv:1106.2012v1.

There are 14 citations in total.

Details

Primary Language	English
Journal Section	Research Article
Authors	Önder Gökmen Yıldız Murat Tosun Sidika Özkaldi Karakuş
Publication Date	October 30, 2013
Published in Issue	Year 2013 Volume: 6 Issue: 2

Cite

APA	Yıldız, Ö. G., Tosun, M., & Karakuş, S. Ö. (2013). A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n. International Electronic Journal of Geometry, 6(2), 118-124.
AMA	Yıldız ÖG, Tosun M, Karakuş SÖ. A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n. Int. Electron. J. Geom. October 2013;6(2):118-124.
Chicago	Yıldız, Önder Gökmen, Murat Tosun, and Sidika Özkaldi Karakuş. “A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n”. International Electronic Journal of Geometry 6, no. 2 (October 2013): 118-24.
EndNote	Yıldız ÖG, Tosun M, Karakuş SÖ (October 1, 2013) A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n. International Electronic Journal of Geometry 6 2 118–124.
IEEE	Ö. G. Yıldız, M. Tosun, and S. Ö. Karakuş, “A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n”, Int. Electron. J. Geom., vol. 6, no. 2, pp. 118–124, 2013.
ISNAD	Yıldız, Önder Gökmen et al. “A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n”. International Electronic Journal of Geometry 6/2 (October 2013), 118-124.
JAMA	Yıldız ÖG, Tosun M, Karakuş SÖ. A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n. Int. Electron. J. Geom. 2013;6:118–124.
MLA	Yıldız, Önder Gökmen et al. “A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n”. International Electronic Journal of Geometry, vol. 6, no. 2, 2013, pp. 118-24.
Vancouver	Yıldız ÖG, Tosun M, Karakuş SÖ. A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n. Int. Electron. J. Geom. 2013;6(2):118-24.