Mixed product surfaces in euclidean 3-space E3
Yıl 2016,
Cilt: 4 Sayı: 2, 203 - 210, 01.03.2016
Betul Bulca
,
Kadri Arslan
Öz
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.
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.
- 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.
Yıl 2016,
Cilt: 4 Sayı: 2, 203 - 210, 01.03.2016
Betul Bulca
,
Kadri Arslan
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.
- 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.