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
Kaynakça
- 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.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
1 Mart 2016
Gönderilme Tarihi
16 Eylül 2015
Kabul Tarihi
27 Ocak 2016
Yayımlandığı Sayı
Yıl 1970 Cilt: 4 Sayı: 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, ve 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 (01 Mart 2016) Mixed product surfaces in euclidean 3-space E3. New Trends in Mathematical Sciences 4 2 203–210.
IEEE
[1]B. Bulca ve K. Arslan, “Mixed product surfaces in euclidean 3-space E3”, New Trends in Mathematical Sciences, c. 4, sy 2, ss. 203–210, Mar. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA55PK33WE
ISNAD
Bulca, Betul - Arslan, Kadri. “Mixed product surfaces in euclidean 3-space E3”. New Trends in Mathematical Sciences 4/2 (01 Mart 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, ve Kadri Arslan. “Mixed product surfaces in euclidean 3-space E3”. New Trends in Mathematical Sciences, c. 4, sy 2, Mart 2016, ss. 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]. 01 Mart 2016;4(2):203-10. Erişim adresi: https://izlik.org/JA55PK33WE