Implicit-implicit and parametric-implicit surface intersections in Euclidean n-space

DÜLDÜL M., ÖZÇETİN B. M.

Acta et Commentationes Universitatis Tartuensis de Mathematica, cilt.27, sa.1, ss.29-45, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.12697/acutm.2023.27.03
  • Dergi Adı: Acta et Commentationes Universitatis Tartuensis de Mathematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier
  • Sayfa Sayıları: ss.29-45
  • Anahtar Kelimeler: and phrases. Curvatures, Frenet vectors, implicit curve, surface-surface in-tersection, transversal intersection
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this paper, we study the intersection problem of two surfaces in which at least one surface is given by its implicit equation in Euclidean n-space. We first obtain the curvatures of the transversal intersection curve of two implicit surfaces. Later, we study the transversal intersection of parametric-implicit surfaces in n-dimensional Euclidean space. Finally, we present examples as applications of the given methods.