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Yıl 2019, Cilt: 2 Sayı: 2, 126 - 128, 25.11.2019

Hatice Tozak Cumali Ekici Mustafa Dede

Öz

Kaynakça

  • [1] L. R. Bishop, There ’s more than one way to frame a curve, Amer Math Monthly, 82(3)(1975), 246-251.
  • [2] P. A. Blaga, On tubular surfaces in computer graphics, Studia univ Babes-Bolyaı, Informatica, 2 (2005), 2005.
  • [3] J. Bloomenthal, Calculation of reference frames along a space curve, Graphics gems, Academic Press Professional, Inc., San Diego, CA, 1990.
  • [4] M. Dede, C. Ekici, H. Tozak, Directional tubular surfaces, Int J Algebra, 9 (2005), 527 - 535.
  • [5] M. Dede, C. Ekici and A. Görgülü, Directional q-frame along a space curve, IJARCSSE, 5(12) (2015), 775-780.
  • [6] M. P. Do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs, New Jersey, 1976.
  • [7] C. Ekici, M. Dede and H. Tozak, Timelike directional tubular surfaces, Int. J. Mathematical Anal., 8(5): 1-11, 2017.
  • [8] A.D. Gross, Analyzing generalized tubes, Proc. SPIE 2354, Intelligent Robots and Computer Vision XIII: 3D Vision, Product Inspection, and Active Vision, 1994.
  • [9] A. D. Gross and T. E. Boult, Recovery of straight homogeneous generalizedcylinders using contour and intensity information, in Proc. of the 1989 SPIE Proc. On Visual Communications and Image Processing IV, 1661-1669, 1989.
  • [10] R. Horaud and J.M. Brady, On the geometric interpretation of image contours, in Proc. First Int’l Conference on Computer Vision, London, U.K., 1987.
  • [11] J. M. LaVest, R. Glachet, M. Dhome and J. T. LaPreste, Modeling solids of revolution by monocular vision, in Proceedings of the 1991 Computer Vision and Pattern Recognition Conference, pages 690-691, Lahaina, Maui, 1991.
  • [12] T. Maekawa, N.M. Patrikalakis, T. Sakkalis, and Yu, G., Analysis and applications of pipe surfaces, Comput Aided Geom Des, 15(1998), 437-458.
  • [13] M. Richetin, M. Dhome and J.T. LaPreste, Inverse perspective transform from zero-curvature curve points application to the localization of some generalized cylinders, in Proceedings of the 1989 Computer Vision and Pattern Recognition Conference, 1989.
  • [14] F. Ulupinar and R. Nevatia, Using symmetries for analysis of shape from contour, in Proceedings of the Second International Computer Vision Conference, 414-426, 1988.
  • [15] F. Ulupinar and R. Nevatia, , Shape from Contour: Straight Homogeneous Generalized Cylinders, in Proceedings of the Third International Computer Vision Conference, 582-586, 1990
  • [16] W. Wang and B. Joe, Robust computation of the rotation minimizing frame for sweep surface modelling, Comput Aided Des, 29 (1997), 379-391.
  • [17] Z. Xu, R. Feng and J. Sun, Analytic and Algebraic Properties of Canal Surfaces, J Comput Appl Math, 195(2006), 220-228.

A Study on Generalized Tubes

Yıl 2019, Cilt: 2 Sayı: 2, 126 - 128, 25.11.2019

Hatice Tozak Cumali Ekici Mustafa Dede

Öz

In this paper, we consider generalized tubes, which we refer to in the paper as hereafter GTs, according to q-frame in Euclidean space $E^{3}$. First, we give a parametric representation of directional generalized tubes (DGTs). Since GT class is divided by two important subclasses, we investigate geometric properties of these two classes with respect to the q-frame.

Anahtar Kelimeler

Adapted frame Frenet frame Generalized tubes.

Kaynakça

  • [1] L. R. Bishop, There ’s more than one way to frame a curve, Amer Math Monthly, 82(3)(1975), 246-251.
  • [2] P. A. Blaga, On tubular surfaces in computer graphics, Studia univ Babes-Bolyaı, Informatica, 2 (2005), 2005.
  • [3] J. Bloomenthal, Calculation of reference frames along a space curve, Graphics gems, Academic Press Professional, Inc., San Diego, CA, 1990.
  • [4] M. Dede, C. Ekici, H. Tozak, Directional tubular surfaces, Int J Algebra, 9 (2005), 527 - 535.
  • [5] M. Dede, C. Ekici and A. Görgülü, Directional q-frame along a space curve, IJARCSSE, 5(12) (2015), 775-780.
  • [6] M. P. Do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs, New Jersey, 1976.
  • [7] C. Ekici, M. Dede and H. Tozak, Timelike directional tubular surfaces, Int. J. Mathematical Anal., 8(5): 1-11, 2017.
  • [8] A.D. Gross, Analyzing generalized tubes, Proc. SPIE 2354, Intelligent Robots and Computer Vision XIII: 3D Vision, Product Inspection, and Active Vision, 1994.
  • [9] A. D. Gross and T. E. Boult, Recovery of straight homogeneous generalizedcylinders using contour and intensity information, in Proc. of the 1989 SPIE Proc. On Visual Communications and Image Processing IV, 1661-1669, 1989.
  • [10] R. Horaud and J.M. Brady, On the geometric interpretation of image contours, in Proc. First Int’l Conference on Computer Vision, London, U.K., 1987.
  • [11] J. M. LaVest, R. Glachet, M. Dhome and J. T. LaPreste, Modeling solids of revolution by monocular vision, in Proceedings of the 1991 Computer Vision and Pattern Recognition Conference, pages 690-691, Lahaina, Maui, 1991.
  • [12] T. Maekawa, N.M. Patrikalakis, T. Sakkalis, and Yu, G., Analysis and applications of pipe surfaces, Comput Aided Geom Des, 15(1998), 437-458.
  • [13] M. Richetin, M. Dhome and J.T. LaPreste, Inverse perspective transform from zero-curvature curve points application to the localization of some generalized cylinders, in Proceedings of the 1989 Computer Vision and Pattern Recognition Conference, 1989.
  • [14] F. Ulupinar and R. Nevatia, Using symmetries for analysis of shape from contour, in Proceedings of the Second International Computer Vision Conference, 414-426, 1988.
  • [15] F. Ulupinar and R. Nevatia, , Shape from Contour: Straight Homogeneous Generalized Cylinders, in Proceedings of the Third International Computer Vision Conference, 582-586, 1990
  • [16] W. Wang and B. Joe, Robust computation of the rotation minimizing frame for sweep surface modelling, Comput Aided Des, 29 (1997), 379-391.
  • [17] Z. Xu, R. Feng and J. Sun, Analytic and Algebraic Properties of Canal Surfaces, J Comput Appl Math, 195(2006), 220-228.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Hatice Tozak 0000-0003-1383-0276

Cumali Ekici 0000-0002-3247-5727

Mustafa Dede 0000-0003-2652-637X

Yayımlanma Tarihi 25 Kasım 2019
Kabul Tarihi 30 Ekim 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 2

Kaynak Göster

APA Tozak, H., Ekici, C., & Dede, M. (2019). A Study on Generalized Tubes. Conference Proceedings of Science and Technology, 2(2), 126-128.
AMA Tozak H, Ekici C, Dede M. A Study on Generalized Tubes. Conference Proceedings of Science and Technology. Kasım 2019;2(2):126-128.
Chicago Tozak, Hatice, Cumali Ekici, ve Mustafa Dede. “A Study on Generalized Tubes”. Conference Proceedings of Science and Technology 2, sy. 2 (Kasım 2019): 126-28.
EndNote Tozak H, Ekici C, Dede M (01 Kasım 2019) A Study on Generalized Tubes. Conference Proceedings of Science and Technology 2 2 126–128.
IEEE H. Tozak, C. Ekici, ve M. Dede, “A Study on Generalized Tubes”, Conference Proceedings of Science and Technology, c. 2, sy. 2, ss. 126–128, 2019.
ISNAD Tozak, Hatice vd. “A Study on Generalized Tubes”. Conference Proceedings of Science and Technology 2/2 (Kasım 2019), 126-128.
JAMA Tozak H, Ekici C, Dede M. A Study on Generalized Tubes. Conference Proceedings of Science and Technology. 2019;2:126–128.
MLA Tozak, Hatice vd. “A Study on Generalized Tubes”. Conference Proceedings of Science and Technology, c. 2, sy. 2, 2019, ss. 126-8.
Vancouver Tozak H, Ekici C, Dede M. A Study on Generalized Tubes. Conference Proceedings of Science and Technology. 2019;2(2):126-8.
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