6 papers · 1 filter
Complex evolutoids of holomorphic plane curves
Jorge Luiz Deolindo-Silva, Mostafa Salarinoghabi
We study the local geometry, singularity classification, and wavefront dynamics of complex evolutoids for regular holomorphic curves in equipped with the standard co…
On the contact of surfaces in -space with 2-planes and their apparent contours
Jorge Luiz Deolindo-Silva, Mostafa Salarinoghabi
We investigate the local geometry of generic smooth surfaces in via the contact with -planes and the associated apparent contour. We study the -singula…
Some results on evolutoids of convex curves in -dimensional space forms
Ady Cambraia Junior, Alessandro Gaio Chimenton, Marco Antônio do Couto Fernandes +1
Let be a -dimensional space form of constant curvature and a smooth, closed, convex curve in . We explicitly parametrize the \textit{-evolutoid} of…
Envelope of intermediate lines of a plane curve
Ady Cambraia, Mostafa Salarinoghabi, Diego Trindade
For a pair of points in a smooth closed convex planar curve , its mid-line is the line containing its mid-point and the intersection point of the corresponding pair of tangent l…
On evolutoids of regular surfaces in Euclidean 3-space
Ady Cambraia Junior, Abilio Lemos, Mostafa Salarinoghabi
Inspired by the concept of evolutoids of planar curves, we present the concept of evolutoids for regular surfaces as an envelope of a two-parameter family of lines in Euclidean 3-s…
On the -generic family of space cusps
Pouya Mehdipour, Mostafa Salarinoghabi
We consider in this paper the -deformations of a family of space curves with codimension . Some geometric aspects of a space curve such as flattenings, vertices and tw…