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Mixed product surfaces in euclidean 3-space E3

Year 2016, Volume: 4 Issue: 2, 203 - 210, 01.03.2016

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.




References

  • 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.
  • Chen, B.Y., Geometry of Submanifolds, Dekker, New York, 1973.
  • Gielis, J., Beirinchx, J. and Bastianens, Superquadrics with rational and irrational symmetry, Symposium on solid modelling and Applications, 2003.
  • 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.
  • Hager, G., Task-directed computation of qualitative decisions from sensor data, IEEE Transactions of Robotics and Automations, 10(1994), 415–429.
  • Jaklic, A., Leonardis, A. and Solina, F., Segmentation and Recovery of Superquadrics, Kluwer Academic Publishers, 20, 2000.
  • 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.
  • O’ Neill, B., Elementary Differential Geometry, Academic Press, USA, 1997.
  • Pentland, A.P., Percettual Organization and the Representation of Natural Form, Artificial Intelligence, 28(1986), 293–331.
  • Pentland, A.P., Automatic Extraction of Deformable Part Models, Int. J. Com. Vision, 4(1990), 107–126.
Year 2016, Volume: 4 Issue: 2, 203 - 210, 01.03.2016

Abstract

References

  • 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.
  • Chen, B.Y., Geometry of Submanifolds, Dekker, New York, 1973.
  • Gielis, J., Beirinchx, J. and Bastianens, Superquadrics with rational and irrational symmetry, Symposium on solid modelling and Applications, 2003.
  • 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.
  • Hager, G., Task-directed computation of qualitative decisions from sensor data, IEEE Transactions of Robotics and Automations, 10(1994), 415–429.
  • Jaklic, A., Leonardis, A. and Solina, F., Segmentation and Recovery of Superquadrics, Kluwer Academic Publishers, 20, 2000.
  • 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.
  • O’ Neill, B., Elementary Differential Geometry, Academic Press, USA, 1997.
  • Pentland, A.P., Percettual Organization and the Representation of Natural Form, Artificial Intelligence, 28(1986), 293–331.
  • Pentland, A.P., Automatic Extraction of Deformable Part Models, Int. J. Com. Vision, 4(1990), 107–126.
There are 10 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Betul Bulca

Kadri Arslan This is me

Publication Date March 1, 2016
Published in Issue Year 2016 Volume: 4 Issue: 2

Cite

APA Bulca, B., & Arslan, K. (2016). Mixed product surfaces in euclidean 3-space E3. New Trends in Mathematical Sciences, 4(2), 203-210.
AMA Bulca B, Arslan K. Mixed product surfaces in euclidean 3-space E3. New Trends in Mathematical Sciences. March 2016;4(2):203-210.
Chicago Bulca, Betul, and Kadri Arslan. “Mixed Product Surfaces in Euclidean 3-Space E3”. New Trends in Mathematical Sciences 4, no. 2 (March 2016): 203-10.
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 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, 2016.
ISNAD Bulca, Betul - Arslan, Kadri. “Mixed Product Surfaces in Euclidean 3-Space E3”. New Trends in Mathematical Sciences 4/2 (March 2016), 203-210.
JAMA 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, 2016, pp. 203-10.
Vancouver Bulca B, Arslan K. Mixed product surfaces in euclidean 3-space E3. New Trends in Mathematical Sciences. 2016;4(2):203-10.