Helix-Free Stripes for Knit Graph Design

Rahul Mitra; Liane Makatura; Emily Whiting; Edward Chien

doi:10.1145/3588432.3591564

Helix-Free Stripes for Knit Graph Design

Rahul Mitra, Liane Makatura, Emily Whiting, Edward Chien

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

9 Scopus citations

Abstract

The problem of placing evenly-spaced stripes on a triangular mesh mirrors that of having evenly-spaced course rows and wale columns in a knit graph for a given geometry. This work presents strategies for producing helix-free stripe patterns and traces them to produce helix-free knit graphs suitable for machine knitting. We optimize directly for the discrete differential (1-form) of the stripe texture function, i.e., the spinning form, and demonstrate the knitting-specific advantages of this framework. In particular, we note how simple linear constraints allow us to place stitch irregularities, align course rows and wale columns to boundary/feature curves, and eliminate helical stripes. Two mixed-integer optimization strategies using these constraints are presented and applied to several mesh models. The results are smooth, globally-informed, helix-free stripe patterns that we trace to produce machine-knittable graphs. We further provide an explicit characterization of helical stripes and a theoretical analysis of their elimination constraints.

Original language	English
Title of host publication	Proceedings - SIGGRAPH 2023 Conference Papers
Editors	Stephen N. Spencer
Publisher	Association for Computing Machinery, Inc
ISBN (Electronic)	9798400701597
DOIs	https://doi.org/10.1145/3588432.3591564
State	Published - 23 Jul 2023
Externally published	Yes
Event	2023 Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2023 - Los Angeles, United States Duration: 6 Aug 2023 → 10 Aug 2023

Publication series

Name	Proceedings - SIGGRAPH 2023 Conference Papers

Conference

Conference	2023 Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2023
Country/Territory	United States
City	Los Angeles
Period	6/08/23 → 10/08/23

Bibliographical note

Publisher Copyright:
© 2023 ACM.

Funding

This work is partially supported by the National Science Foundation (NSF) under Grant No. 2047342 and the National Science Foundation Graduate Research Fellowship (NSF GRF) under Grant No. 2141064. We would like to thank James McCann, Kui Wu, and Alexendre Kaspar for permission to use figures.

Funders	Funder number
NSF GRF	2141064
National Science Foundation	2047342

Keywords

computational knitting
stripe texturing

Access to Document

10.1145/3588432.3591564

Cite this

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abstract = "The problem of placing evenly-spaced stripes on a triangular mesh mirrors that of having evenly-spaced course rows and wale columns in a knit graph for a given geometry. This work presents strategies for producing helix-free stripe patterns and traces them to produce helix-free knit graphs suitable for machine knitting. We optimize directly for the discrete differential (1-form) of the stripe texture function, i.e., the spinning form, and demonstrate the knitting-specific advantages of this framework. In particular, we note how simple linear constraints allow us to place stitch irregularities, align course rows and wale columns to boundary/feature curves, and eliminate helical stripes. Two mixed-integer optimization strategies using these constraints are presented and applied to several mesh models. The results are smooth, globally-informed, helix-free stripe patterns that we trace to produce machine-knittable graphs. We further provide an explicit characterization of helical stripes and a theoretical analysis of their elimination constraints.",

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Mitra, R, Makatura, L, Whiting, E & Chien, E 2023, Helix-Free Stripes for Knit Graph Design. in SN Spencer (ed.), Proceedings - SIGGRAPH 2023 Conference Papers., 75, Proceedings - SIGGRAPH 2023 Conference Papers, Association for Computing Machinery, Inc, 2023 Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2023, Los Angeles, United States, 6/08/23. https://doi.org/10.1145/3588432.3591564

Helix-Free Stripes for Knit Graph Design. / Mitra, Rahul; Makatura, Liane; Whiting, Emily et al.
Proceedings - SIGGRAPH 2023 Conference Papers. ed. / Stephen N. Spencer. Association for Computing Machinery, Inc, 2023. 75 (Proceedings - SIGGRAPH 2023 Conference Papers).

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

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Helix-Free Stripes for Knit Graph Design

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