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Year 2018, Volume: 7 Issue: 2, 48 - 53, 31.12.2018

Mustafa Altın , Müge Karadağ

Abstract

References

  • 1. Hanbay K, Alpaslan N, Talu MF, Hanbay D. Principal curvatures based rotation invariant algorithms for efficient texture classification. Neurocomputing [Internet]. 2016;199:77–89. Available from: http://www.sciencedirect.com/science/article/pii/S0925231216300522
  • 2. Beyer WH. Standard Mathematical Tables. Boca Raton: FL: CRC Press; 1987. 216 p.
  • 3. Gray A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton: FL: CRC Press; 1997. 50-52 p. 4. Lawrence JD. A Catalog of Special Plane Curves. New York: Dover Publications Inc.; 1972. 192-197 p.
  • 5. Lockwood EH. “The Cycloid.” Ch. 9. In: A Book of Curves. Cambridge, England: Cambridge University Press; 1967. p. 80–9.
  • 6. MacTutor History of Mathematics Archive [Internet]. Available from: http://www-groups.dcs.st-and.ac.uk/~history/Curves/Cycloid.html
  • 7. Smith DE. Special Topics of Elementary Mathematics. In: History of Mathematics, Vol 2. New York: Dover Publications Inc.; 1958. p. 327.
  • 8. Wells D. The Penguin Dictionary of Curious and Interesting Geometry. Londra: Penguin; 1991. 44-47 p.
  • 9. Yates RC. Cycloid. In: A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards; 1952. p. 65–70.
  • 10. E. Ethemoglu. E^n deki Kendine Benzer Yüzeylerin Bir Karekterizasyonu. Uludağ Üniversitesi; 2013.
  • 11. Etemoglu E, Arslan K, Bulca B. Self similar surfaces in Euclidean space. Selcuk J Appl Math,. 2013;14(1):71–81.
  • 12. Anciaux H. Construction of Lagrangian Self-similar Solutions to the Mean Curvature Flow in Cn. Geom Dedicata [Internet]. 2006;120(1):37–48. Available from: http://link.springer.com/10.1007/s10711-006-9082-z
  • 13. Uribe-Vargas R. On Vertices, focal curvatures and differential geometry of space curves. Bull Brazilian Math Soc. 2005;36(3):285–307.
  • 14. Hacısalihoğlu HH. Differensiyel Geometri. Ankara: Gazi Üniversitesi Basın Yayın Yüksekokulu Basımevi; 1983. 1-895 p.
  • 15. Encheva RP, Georgiev GH. Similar Frenet curves. Results Math. 2009;55(3):359–72.

Kendine Benzer Eğri Olmayan Bazı Özel Eğriler

Year 2018, Volume: 7 Issue: 2, 48 - 53, 31.12.2018

Mustafa Altın , Müge Karadağ

Abstract

Görüntü işleme
ve örüntü tanıma uygulamalarında yer bulan kendine benzer eğriler bir çok
araştırmacı tarafından çalışılmıştır. Bu çalışmada Öklid uzayında Kardioid ,
Saykloid, Limaçon, Astroid, Eş açılı spiral eğrilerinin kendine benzer eğri
olup olmadıkları incelenmiştir. Ayrıca bu eğrilerin kendine benzer eğri
olmaması için gerekli şartlar elde edilmiştir.

Keywords

Kendine Benzer Eğriler Kardioid Saykloid Limaçon Astroid

References

  • 1. Hanbay K, Alpaslan N, Talu MF, Hanbay D. Principal curvatures based rotation invariant algorithms for efficient texture classification. Neurocomputing [Internet]. 2016;199:77–89. Available from: http://www.sciencedirect.com/science/article/pii/S0925231216300522
  • 2. Beyer WH. Standard Mathematical Tables. Boca Raton: FL: CRC Press; 1987. 216 p.
  • 3. Gray A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton: FL: CRC Press; 1997. 50-52 p. 4. Lawrence JD. A Catalog of Special Plane Curves. New York: Dover Publications Inc.; 1972. 192-197 p.
  • 5. Lockwood EH. “The Cycloid.” Ch. 9. In: A Book of Curves. Cambridge, England: Cambridge University Press; 1967. p. 80–9.
  • 6. MacTutor History of Mathematics Archive [Internet]. Available from: http://www-groups.dcs.st-and.ac.uk/~history/Curves/Cycloid.html
  • 7. Smith DE. Special Topics of Elementary Mathematics. In: History of Mathematics, Vol 2. New York: Dover Publications Inc.; 1958. p. 327.
  • 8. Wells D. The Penguin Dictionary of Curious and Interesting Geometry. Londra: Penguin; 1991. 44-47 p.
  • 9. Yates RC. Cycloid. In: A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards; 1952. p. 65–70.
  • 10. E. Ethemoglu. E^n deki Kendine Benzer Yüzeylerin Bir Karekterizasyonu. Uludağ Üniversitesi; 2013.
  • 11. Etemoglu E, Arslan K, Bulca B. Self similar surfaces in Euclidean space. Selcuk J Appl Math,. 2013;14(1):71–81.
  • 12. Anciaux H. Construction of Lagrangian Self-similar Solutions to the Mean Curvature Flow in Cn. Geom Dedicata [Internet]. 2006;120(1):37–48. Available from: http://link.springer.com/10.1007/s10711-006-9082-z
  • 13. Uribe-Vargas R. On Vertices, focal curvatures and differential geometry of space curves. Bull Brazilian Math Soc. 2005;36(3):285–307.
  • 14. Hacısalihoğlu HH. Differensiyel Geometri. Ankara: Gazi Üniversitesi Basın Yayın Yüksekokulu Basımevi; 1983. 1-895 p.
  • 15. Encheva RP, Georgiev GH. Similar Frenet curves. Results Math. 2009;55(3):359–72.
There are 14 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Articles
Authors

Mustafa Altın 0000-0001-5544-5910

Müge Karadağ This is me

Publication Date December 31, 2018
Published in Issue Year 2018 Volume: 7 Issue: 2

Cite

APA Altın, M., & Karadağ, M. (2018). Kendine Benzer Eğri Olmayan Bazı Özel Eğriler. Türk Doğa Ve Fen Dergisi, 7(2), 48-53.
AMA Altın M, Karadağ M. Kendine Benzer Eğri Olmayan Bazı Özel Eğriler. TJNS. December 2018;7(2):48-53.
Chicago Altın, Mustafa, and Müge Karadağ. “Kendine Benzer Eğri Olmayan Bazı Özel Eğriler”. Türk Doğa Ve Fen Dergisi 7, no. 2 (December 2018): 48-53.
EndNote Altın M, Karadağ M (December 1, 2018) Kendine Benzer Eğri Olmayan Bazı Özel Eğriler. Türk Doğa ve Fen Dergisi 7 2 48–53.
IEEE M. Altın and M. Karadağ, “Kendine Benzer Eğri Olmayan Bazı Özel Eğriler”, TJNS, vol. 7, no. 2, pp. 48–53, 2018.
ISNAD Altın, Mustafa - Karadağ, Müge. “Kendine Benzer Eğri Olmayan Bazı Özel Eğriler”. Türk Doğa ve Fen Dergisi 7/2 (December 2018), 48-53.
JAMA Altın M, Karadağ M. Kendine Benzer Eğri Olmayan Bazı Özel Eğriler. TJNS. 2018;7:48–53.
MLA Altın, Mustafa and Müge Karadağ. “Kendine Benzer Eğri Olmayan Bazı Özel Eğriler”. Türk Doğa Ve Fen Dergisi, vol. 7, no. 2, 2018, pp. 48-53.
Vancouver Altın M, Karadağ M. Kendine Benzer Eğri Olmayan Bazı Özel Eğriler. TJNS. 2018;7(2):48-53.
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