For a regular curve on a surface, we have a moving frame along the curve which is called
the Darboux frame. We induce three special vector fields along the curve associated to the …

Abstract Background and Objectives Dental caries is one of the most common painful and
infectious oral diseases. Early detection of caries lesion prevents the spreading of infection …

By using the Darboux frame| ξ, ζ, η| of a non-null curve lying on a timelike surface in
Minkowski 3-space, where ξ is the unit tangent vector of the curve, η is the unit spacelike …

In this paper, we consider a regular curve on an oriented surface in Euclidean 3-space with
the Darboux frame {T,U,V\} along the curve, where T is the unit tangent vector field of the …

In this paper, we define k‐type null Cartan slant helices lying on a timelike surface in
Minkowski space according to their Darboux frame, where k∈{0, 1, 2}. We study these …

In this paper, we define and characterize pseudo null isophotic curves lying on a non-
degenerate surface in Minkowski 3-space. We find the relation between Darboux frame's …

The isophote curve on surfaces is an important consequence of Lambert reflect law in
optical research. In this paper, we define the framed isophote curve along a surface which …

In this paper, we present a method for numerical computing of some characteristic kinds of
non‐null curves lying on a non‐degenerate surface in Minkowski space 𝔼 1 3. Namely, we …

Isophote comprises a locus of the surface points whose normal vectors make a constant
angle with a fixed vector. In this paper, isophote curves are studied on timelike surfaces in …

ANKARA ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ YÜKSEK LİSANS TEZİ BATI
KARADENİZ BÖLGESİ’NDE YER ALAN ZONGULDAK Page 1 ANKARA ÜNİVERSİTESİ …