Using Bezier Curves in Medical Applications

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SIMSEK B., YARDIMCI A.

FILOMAT, cilt.30, sa.4, ss.937-943, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1604937s
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.937-943
  • Anahtar Kelimeler: Bernstein polynomials, Generating function, Gamma function, Beta function, Binomial coefficients, Combinatorial sums, Bezier Curves
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper we survey the 3D reconstruction of an object from its 2D cross-sections has many applications in different fields of sciences such as medical physics and biomedical applications. The aim of this paper is to give not only the Bezier curves in medical applications, but also by using generating functions for the Bernstein basis functions and their identities, some combinatorial sums involving binomial coefficients are deriven. Finally, we give some comments related to the above areas.