Beautiful Math, Part 4: Polygonal Aesthetic Patterns Based on the Schwarz-Christoffel Mapping

Author

Peichang Ouyang ; Feng Ding ; Xinchang Wang

Volume

35

Issue

4

fYear

2015

fDate

July-Aug. 2015

Firstpage

22

Lastpage

25

Abstract

Schwarz-Christoffel mapping is an elegant theory that can preserve the structure of a pattern perfectly. One of the most important elements of conformal mapping theory, Schwarz-Christoffel mapping has important applications in many engineering fields, such as electromagnetism, aerodynamics, and thermal field theory. Building on their 2014 CG&A article titled "Beautiful Math, Part 3: Hyperbolic Aesthetic Patterns Based on Conformal Mappings," the authors apply the professional numerical methods of Schwarz-Christoffel mapping to achieve real polygon boundaries.

Keywords

computational geometry; conformal mapping; Schwarz-Christoffel mapping; beautiful math; conformal mapping theory; polygonal aesthetic patterns; professional numerical methods; Conformal mapping; Mathematical model; Pattern recognition; Software development; Transforms; SC Toolbox; Schwarz-Christoffel mapping; computer graphics; conformal mapping; conformal mapping theory; polygonal aesthetic patterns;

fLanguage

English

Journal_Title

Computer Graphics and Applications, IEEE

Publisher

ieee

ISSN

0272-1716

Type

jour

DOI

10.1109/MCG.2015.85

Filename

7160905