Various Types of Aesthetic Curves

TL;DR

This paper reviews recent advances in the design and analysis of various aesthetic planar curves used in industries like automotive, railway, and robotics, emphasizing developments in curve synthesis, fairing, and spiral control.

Contribution

It provides a comprehensive overview of recent progress in the field of aesthetic curve design within Computer Aided Geometric Design (CAGD).

Findings

Identification of five major research groups in aesthetic curve development.

Summarization of recent techniques in curve synthesis and fairing.

Highlighting advancements in natural spiral fitting and approximation.

Abstract

The research on developing planar curves to produce visually pleasing products (ranges from electric appliances to car body design) and indentifying/modifying planar curves for special purposes namely for railway design, highway design and robot trajectories have been progressing since 1970s. The pattern of research in this field of study has branched to five major groups namely curve synthesis, fairing process, improvement in control of natural spiral, construction of new type of planar curves and, natural spiral fitting & approximation techniques. The purpose of is this paper is to briefly review recent progresses in Computer Aided Geometric Design (CAGD) focusing on the topics states above.