Using Bezier Curves in Medical Applications

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SIMSEK B., YARDIMCI A.

FILOMAT, vol.30, no.4, pp.937-943, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1604937s
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.937-943
  • Keywords: Bernstein polynomials, Generating function, Gamma function, Beta function, Binomial coefficients, Combinatorial sums, Bezier Curves
  • Akdeniz University Affiliated: Yes

Abstract

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.