Dergiler / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2022 / Cilt: 11 - Sayı: 2

Double and Type (3,0) Minkowski Pythagorean Hodograph Curves

Sayfa
660–665
Yayın Tarihi
2022-10-12
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, a special class of seventh degree MPH curves is characterized and illustrative examples are given.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In present paper, Double Minkowski Pythagorean Hodograph (DMPH) curves and type (3,0) Minkowski Pythagorean Hodograph (MPH) curves.
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Temel Bulgular & Veri:Firstly, we obtained the conditions for a MPH curve to be a DMPH curve.
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Sonuç & Katkı:Finally, a special class of seventh degree MPH curves is characterized and illustrative examples are given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In present paper, Double Minkowski Pythagorean Hodograph (DMPH) curves and type (3,0) Minkowski Pythagorean Hodograph (MPH) curves. Firstly, we obtained the conditions for a MPH curve to be a DMPH curve. Then, we examined these conditions in split quaternion form. Finally, a special class of seventh degree MPH curves is characterized and illustrative examples are given.

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Bu Makaleye Atıf Yap

YAZLA, A., SARIAYDIN, M. T. (2022). Double and Type (3,0) Minkowski Pythagorean Hodograph Curves. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Cilt: 11 - Sayı: 2, 660–665. https://ajindex.com/articles/466568

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Kaynakça (12)

  1. H. I. Choi, D. S. Lee, H. P. Moon, “Clifford Algebra, Spin Representation and Rational Parameterization of Curves and Surfaces,” in Advances in Computational Mathematics, 17(1-2), 5-48, 2002
  2. P. Dospra, “Quaternion Polynomials and Rational Rotation-Minimizing Frame Curves. Ph.D. Thesis,” in Agricultural University of Athens, 2015
  3. R. T. Farouki, T. Sakkalis, “Pythagorean Hodographs,” in IBM Journal of Research and Development, 34(5), 736-752, 1990
  4. R. T. Farouki, “The Conformal Map 𝑧 → 𝑧² of the Hodograph Plane,” in Computer Aided Geometric Design, 11(4), 363-390, 1994
  5. R. T. Farouki, T. Sakkalis, “Pythagorean-Hodograph Space Curves,” in Advances in Computational Mathematics, 2(1), 41-66, 1994
  6. R. T Farouki, “Pythagorean-Hodograph Curves,” in Springer. 2008
  7. C. Y. Han, “Nonexistence of Rational Rotation-Minimizing Frames on Cubic Curves,” in Computer Aided Geometric Design, 25(4-5), 298-304, 2008
  8. J. I. Inoguchi, “Timelike Surfaces of Constant Mean Curvature in Minkowski 3-Space,” in Tokyo Journal of Mathematics, 21(1), 141-152 1998
  9. Ç. Ramis, “PH Curves and Applications. M.S. Thesis,” in Ankara University, 2013
  10. A. Yazla, M. T. Sariaydin, “Applications of the Fermi-Walker derivative.” in Journal of Science and Arts, 19(3), 545-560, 2019
  11. A.Yazla, M. T. Sariaydin, “On Surfaces Constructed by Evolution According to Quasi Frame,” in Facta Universitatis, Series: Mathematics and Informatics, 605-619, 2020
  12. A. Yazla, M. T. Sariaydin, “Modeling with Double Minkowski Pythagorean Hodograph Curves,” (Submitted).