arXiv subjects

Rushan Ziatdinov

Publications and source records attributed to Rushan Ziatdinov.

20 records · Page 2Linked to original sources

arXiv2013

MC-curves and aesthetic measurements for pseudospiral curve segments

This article studies families of curves with monotonic curvature function (MC-curves) and their applications in geometric modelling and aesthetic design. Aesthetic analysis and assessment of the structure and plastic qualities of pseudospirals, which are curves with monotonic curvature function, are conducted for the first time in the field of geometric modelling from the position of technical aesthetics laws. The example of car body surface modelling with the use of aesthetics splines is given.

cs.GR↗

arXiv2013

On the variety of planar spirals and their applications in computer aided design

In this paper we discuss the variety of planar spiral segments and their applications in objects in both the real and artificial world. The discussed curves with monotonic curvature function are well-known in geometric modelling and computer aided geometric design as fair curves, and they are very significant in aesthetic shape modelling. Fair curve segments are used for two-point G1 and G2 Hermite interpolation, as well as for generating aesthetic splines.

cs.GR↗