Helix-Free Stripes for Knit Graph Design

Rahul Mitra, Liane Makatura, Emily Whiting, Edward Chien

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 languageEnglish
Title of host publicationProceedings - SIGGRAPH 2023 Conference Papers
EditorsStephen N. Spencer
PublisherAssociation for Computing Machinery, Inc
ISBN (Electronic)9798400701597
DOIs
StatePublished - 23 Jul 2023
Externally publishedYes
Event2023 Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2023 - Los Angeles, United States
Duration: 6 Aug 202310 Aug 2023

Publication series

NameProceedings - SIGGRAPH 2023 Conference Papers

Conference

Conference2023 Special Interest Group on Computer Graphics and Interactive Techniques Conference, SIGGRAPH 2023
Country/TerritoryUnited States
CityLos Angeles
Period6/08/2310/08/23

Bibliographical note

Publisher Copyright:
© 2023 ACM.

Keywords

  • computational knitting
  • stripe texturing

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