The focal surfaces of offset surface

Güler F.

OPTIK, vol.271, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 271
  • Publication Date: 2022
  • Doi Number: 10.1016/j.ijleo.2022.170053
  • Journal Name: OPTIK
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC
  • Keywords: Parametric surfaces, Offset surfaces, Focal surfaces
  • Ondokuz Mayıs University Affiliated: Yes


In surface modeling, constructing a new surface from a given regular surface is important. Focal surfaces are used to analyze the quality of a given surface. In this study, the relationships between the geometry of the focal surfaces of its offset of given a parametric surface with the geometry of the original surface are given. The geometric properties of this focal surfaces were calculated by using use of the basic forms and curvatures of the original surface, and some theorems are given. Thus, we find the geometric properties of the focal surfaces of its offset surface using only the geometric properties of a given parametric surface. In addition, the theorems given in the study are supported with examples.