MC-curves and aesthetic measurements for pseudospiral curve segments

TL;DR

This paper investigates MC-curves, specifically pseudospirals, analyzing their aesthetic qualities and applications in geometric modeling, including car surface design, emphasizing the role of monotonic curvature in aesthetic assessment.

Contribution

It introduces a novel aesthetic analysis of pseudospirals with monotonic curvature, applying it to geometric modeling and car surface design for the first time.

Findings

Pseudospirals possess distinct aesthetic qualities.

Monotonic curvature enhances geometric and aesthetic properties.

Application to car body surface modeling demonstrates practical utility.

Abstract

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.