Holomorphic Mappings for Integrated Garment and Motif Design

Loe M.G. Feijs; J. (Rong-Hao) Liang; Holly Krueger; Marina J. Toeters

Holomorphic Mappings for Integrated Garment and Motif Design

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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 language	English
Title of host publication	Bridges 2025 conference proceedings
Editors	Tom Verhoeff, David Swart, S. Louise Gould, Eve Torrence
Place of Publication	Phoenix
Publisher	Tessellations Publishing
Pages	101-108
Number of pages	8
ISBN (Print)	978-1-938664-51-9
Publication status	Published - 14 Jul 2025
Event	28th annual Bridges Conference: Mathematics and the Art - TU/e, Eindhoven, Netherlands Duration: 14 Jul 2025 → 18 Jul 2025 https://www.bridgesmathart.org/b2025/ http://bridgesmathart.org/b2025

Conference

Conference	28th annual Bridges Conference
Abbreviated title	Bridges Eindhoven
Country/Territory	Netherlands
City	Eindhoven
Period	14/07/25 → 18/07/25
Internet address	https://www.bridgesmathart.org/b2025/ http://bridgesmathart.org/b2025

Keywords

Holomorphic mapping
Laplace equation
Fashion design
Houndstooth

Access to Document

bridges2025-101Final published version, 5.21 MBLicence: Unspecified

1 Exhibition

Red Herring dress with Aruco Codes and Pied-de-poule motif based on a seamless cone pattern
Krueger, H., Feijs, L. M. G., Toeters, M. J. & Liang, J., 14 Jul 2025
Research output: Non-textual form › Exhibition › Professional

Open Access
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Cite this

@inproceedings{cf96ec9a02b5413d8c4243073da46d09,

title = "Holomorphic Mappings for Integrated Garment and Motif Design",

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.",

keywords = "Holomorphic mapping, Laplace equation, Fashion design, Houndstooth",

author = "Feijs, \{Loe M.G.\} and Liang, \{J. (Rong-Hao)\} and Holly Krueger and Toeters, \{Marina J.\}",

year = "2025",

month = jul,

day = "14",

language = "English",

isbn = "978-1-938664-51-9",

pages = "101--108",

editor = "Tom Verhoeff and David Swart and Gould, \{S. Louise\} and Eve Torrence",

booktitle = "Bridges 2025 conference proceedings",

publisher = "Tessellations Publishing",

note = "28th annual Bridges Conference : Mathematics and the Art, Bridges Eindhoven ; Conference date: 14-07-2025 Through 18-07-2025",

url = "https://www.bridgesmathart.org/b2025/, http://bridgesmathart.org/b2025",

}

Holomorphic Mappings for Integrated Garment and Motif Design. / Feijs, Loe M.G.; Liang, J. (Rong-Hao); Krueger, Holly et al.
Bridges 2025 conference proceedings. ed. / Tom Verhoeff; David Swart; S. Louise Gould; Eve Torrence. Phoenix: Tessellations Publishing, 2025. p. 101-108.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Holomorphic Mappings for Integrated Garment and Motif Design

AU - Feijs, Loe M.G.

AU - Liang, J. (Rong-Hao)

AU - Krueger, Holly

AU - Toeters, Marina J.

PY - 2025/7/14

Y1 - 2025/7/14

N2 - 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.

AB - 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.

KW - Holomorphic mapping

KW - Laplace equation

KW - Fashion design

KW - Houndstooth

M3 - Conference contribution

SN - 978-1-938664-51-9

SP - 101

EP - 108

BT - Bridges 2025 conference proceedings

A2 - Verhoeff, Tom

A2 - Swart, David

A2 - Gould, S. Louise

A2 - Torrence, Eve

PB - Tessellations Publishing

CY - Phoenix

T2 - 28th annual Bridges Conference

Y2 - 14 July 2025 through 18 July 2025

ER -

Holomorphic Mappings for Integrated Garment and Motif Design

Abstract

Conference

Keywords

Access to Document

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Research output

Red Herring dress with Aruco Codes and Pied-de-poule motif based on a seamless cone pattern

Cite this