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A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n

Yıl 2013, Cilt: 6 Sayı: 2, 118 - 124, 30.10.2013

Öz


Kaynakça

  • [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.
Yıl 2013, Cilt: 6 Sayı: 2, 118 - 124, 30.10.2013

Öz

Kaynakça

  • [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.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Önder Gökmen Yıldız

Murat Tosun

Sidika Özkaldi Karakuş

Yayımlanma Tarihi 30 Ekim 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 6 Sayı: 2

Kaynak Göster

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. Ekim 2013;6(2):118-124.
Chicago Yıldız, Önder Gökmen, Murat Tosun, ve Sidika Özkaldi Karakuş. “A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n”. International Electronic Journal of Geometry 6, sy. 2 (Ekim 2013): 118-24.
EndNote Yıldız ÖG, Tosun M, Karakuş SÖ (01 Ekim 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, ve S. Ö. Karakuş, “A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n”, Int. Electron. J. Geom., c. 6, sy. 2, ss. 118–124, 2013.
ISNAD Yıldız, Önder Gökmen vd. “A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n”. International Electronic Journal of Geometry 6/2 (Ekim 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 vd. “A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n”. International Electronic Journal of Geometry, c. 6, sy. 2, 2013, ss. 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.