Research Article

Mixed product surfaces in euclidean 3-space E3

Volume: 4 Number: 2 March 1, 2016
EN

Mixed product surfaces in euclidean 3-space E3

Abstract

In the present study we define a new kind of product surfaces namely mixed product which are product of plane curve and space curve in 3-dimensional Euclidean space. We give the original results of mixed product surface patches of flat or minimal type in E3. Further, we give some examples of these kind of surfaces and plot their graphics.


Keywords

References

  1. Arslan, K., Bulca, B., Bayram, B., Ozturk and Ugail, H., On Spherical Product Surfaces in E3, IEEE Computer Society, International Conference on Cyberworlds, 2009, 132–137.
  2. Chen, B.Y., Geometry of Submanifolds, Dekker, New York, 1973.
  3. Gielis, J., Beirinchx, J. and Bastianens, Superquadrics with rational and irrational symmetry, Symposium on solid modelling and Applications, 2003.
  4. Gupta, A. and Bajcsy, R., Surface and volumetric segmentation of range images using biquadrics and superquadrics. In Int. Conf. Pattern Recognition, 1(1992), 158–162.
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  6. Jaklic, A., Leonardis, A. and Solina, F., Segmentation and Recovery of Superquadrics, Kluwer Academic Publishers, 20, 2000.
  7. Leonardis, A., Jaklic, A. and Solina, F., Superquadrics for segmenting and modelling data. Pattern Analysis and Machine Intelligence, IEEE Transactions on, 1997, 19(11): 1289–1295.
  8. O’ Neill, B., Elementary Differential Geometry, Academic Press, USA, 1997.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Kadri Arslan This is me
Türkiye

Publication Date

March 1, 2016

Submission Date

September 16, 2015

Acceptance Date

January 27, 2016

Published in Issue

Year 1970 Volume: 4 Number: 2

APA
Bulca, B., & Arslan, K. (2016). Mixed product surfaces in euclidean 3-space E3. New Trends in Mathematical Sciences, 4(2), 203-210. https://izlik.org/JA55PK33WE
AMA
1.Bulca B, Arslan K. Mixed product surfaces in euclidean 3-space E3. New Trends in Mathematical Sciences. 2016;4(2):203-210. https://izlik.org/JA55PK33WE
Chicago
Bulca, Betul, and Kadri Arslan. 2016. “Mixed Product Surfaces in Euclidean 3-Space E3”. New Trends in Mathematical Sciences 4 (2): 203-10. https://izlik.org/JA55PK33WE.
EndNote
Bulca B, Arslan K (March 1, 2016) Mixed product surfaces in euclidean 3-space E3. New Trends in Mathematical Sciences 4 2 203–210.
IEEE
[1]B. Bulca and K. Arslan, “Mixed product surfaces in euclidean 3-space E3”, New Trends in Mathematical Sciences, vol. 4, no. 2, pp. 203–210, Mar. 2016, [Online]. Available: https://izlik.org/JA55PK33WE
ISNAD
Bulca, Betul - Arslan, Kadri. “Mixed Product Surfaces in Euclidean 3-Space E3”. New Trends in Mathematical Sciences 4/2 (March 1, 2016): 203-210. https://izlik.org/JA55PK33WE.
JAMA
1.Bulca B, Arslan K. Mixed product surfaces in euclidean 3-space E3. New Trends in Mathematical Sciences. 2016;4:203–210.
MLA
Bulca, Betul, and Kadri Arslan. “Mixed Product Surfaces in Euclidean 3-Space E3”. New Trends in Mathematical Sciences, vol. 4, no. 2, Mar. 2016, pp. 203-10, https://izlik.org/JA55PK33WE.
Vancouver
1.Betul Bulca, Kadri Arslan. Mixed product surfaces in euclidean 3-space E3. New Trends in Mathematical Sciences [Internet]. 2016 Mar. 1;4(2):203-10. Available from: https://izlik.org/JA55PK33WE