Holomorphic Mappings for Integrated Garment and Motif Design

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Abstract

Today's fashion design is based on a separation of concerns such that the geometry of the fabric motif and the geometry of the pattern cut are unrelated. We challenge this approach by developing mathematical tools to morph the motif. The core innovation lies in the mathematical framework, based on holomorphic mappings and harmonic conjugate functions, to map motifs onto arbitrarily shaped panels. This approach, implemented via custom software, allows for seamless motif continuation across complex garment shapes, avoiding cutting through repeating designs. We demonstrate the technique's application through several garment examples, showcasing its potential for creative pattern design and efficient manufacturing.
Original languageEnglish
Title of host publicationBridges 2025 conference proceedings
EditorsTom Verhoeff, David Swart, S. Louise Gould, Eve Torrence
Place of PublicationPhoenix
PublisherTessellations Publishing
Pages101-108
Number of pages8
ISBN (Print)978-1-938664-51-9
Publication statusPublished - 14 Jul 2025
Event28th annual Bridges Conference: Mathematics and the Art - TU/e, Eindhoven, Netherlands
Duration: 14 Jul 202518 Jul 2025
https://www.bridgesmathart.org/b2025/
http://bridgesmathart.org/b2025

Conference

Conference28th annual Bridges Conference
Abbreviated titleBridges Eindhoven
Country/TerritoryNetherlands
CityEindhoven
Period14/07/2518/07/25
Internet address

Keywords

  • Holomorphic mapping
  • Laplace equation
  • Fashion design
  • Houndstooth

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