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Year 2019, Volume: 2 Issue: 2, 126 - 128, 25.11.2019

Abstract

References

  • [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

Year 2019, Volume: 2 Issue: 2, 126 - 128, 25.11.2019

Abstract

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.

References

  • [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.
There are 17 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Hatice Tozak 0000-0003-1383-0276

Cumali Ekici 0000-0002-3247-5727

Mustafa Dede 0000-0003-2652-637X

Publication Date November 25, 2019
Acceptance Date October 30, 2019
Published in Issue Year 2019 Volume: 2 Issue: 2

Cite

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. November 2019;2(2):126-128.
Chicago Tozak, Hatice, Cumali Ekici, and Mustafa Dede. “A Study on Generalized Tubes”. Conference Proceedings of Science and Technology 2, no. 2 (November 2019): 126-28.
EndNote Tozak H, Ekici C, Dede M (November 1, 2019) A Study on Generalized Tubes. Conference Proceedings of Science and Technology 2 2 126–128.
IEEE H. Tozak, C. Ekici, and M. Dede, “A Study on Generalized Tubes”, Conference Proceedings of Science and Technology, vol. 2, no. 2, pp. 126–128, 2019.
ISNAD Tozak, Hatice et al. “A Study on Generalized Tubes”. Conference Proceedings of Science and Technology 2/2 (November 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 et al. “A Study on Generalized Tubes”. Conference Proceedings of Science and Technology, vol. 2, no. 2, 2019, pp. 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.