Despite their long-time existence and significant capabilities, computational modeling, simulation, and design tools have been underutilized for textiles in general, specifically limiting the ability of knitted textiles to be widely deployed and to reach their full industrial potential in advanced functional fabrics and garments. These computational tools require a robust representation and efficient evaluation of the spatial, material, and physical properties of textile structures. An example of an efficient modeling method for knitted fabrics is TopoKnit, a process-oriented representation for capturing the topology of weft-knitted textiles. In this paper, we extend TopoKnit and present new algorithms that may be used to determine additional topological structures and assess the structural integrity and stability of knitted textiles modeled by this fundamental data structure. We compare our results with outputs from a commercial software system to confirm the effectiveness and validity of our algorithms. These new capabilities provide a foundation for open technologies that can accurately model and predict the geometric and mechanical properties/behaviors of knitted textiles. They will support the development of computational design and analysis tools that will obviate the expensive and wasteful trial-and-error process of knitting and testing actual fabrics in the preproduction phase of textile manufacturing.
PadakiNAlagirusamyRSugunB.Knitted preforms for composite applications. J Indust Text2006;
35: 295–321.
2.
AhlquistS.Sensory material architectures: concepts and methodologies for spatial tectonics and tactile responsivity in knitted textile hybrid structures. Int J Architect Comput2016;
14(1): 63–82.
3.
VallettR.Differential Capacitive Touch Sensing System for Knitted Textiles. PhD Thesis, Drexel University, 2019.
4.
KapllaniLAmanatidesCDionG, et al.
TopoKnit: a process-oriented representation for modeling the topology of yarns in weft-knitted textiles. Graph Mod2021;
118: 101114.
5.
KapllaniLAmanatidesCDionG, et al.
Loop order analysis of weft-knitted textiles. Textiles2022;
2(2): 275–295.
6.
VallettRKnittelCChristeD, et al. Digital fabrication of textiles: an analysis of electrical networks in 3D knitted functional fabrics. In Micro-and Nanotechnology Sensors, Systems, and Applications IX, volume 10194. International Society for Optics and Photonics, 1019406.
7.
HongCJKimBJ.Model-based simulation analysis of wicking behavior in hygroscopic cotton fabric. J Fashion Business2016;
20(6): 66–78.
8.
ZhengZZhangNZhaoX.Simulation of heat transfer through woven fabrics based on the fabric geometry model. Therm Sci2018;
22(6 Part B): 2815–2825.
9.
ShenHXieKShiH, et al.
Analysis of heat transfer characteristics in textiles and factors affecting thermal properties by modeling. Text Res J2019;
89(21–22): 4681–4690.
10.
MaharajLK.TopoKnit: A Process-Oriented Topology Representation for Modeling and Analyzing Weft-Knitted Textiles. PhD Thesis, Drexel University, 2022.
11.
BrooksAStrickerSJoshiS, et al.
Properties of synthetic spider silk fibers based on Argiope aurantia masp2. Biomacromolecules2008;
9: 1506–1510.
12.
MeissnerMEberhardtB.The art of knitted fabrics, realistic & physically based modeling of knitted fabrics. Comput Graph Forum (Proc Eurograph)1998;
17(3): 355–362.
13.
EberhardtBMeissnerMStrasserW.Knit fabrics. In HouseDBreenD (eds.) Cloth Modeling and Animation, chapter 5.
AK Peters, 2000. pp. 123–144.
14.
EberhardtBWeberA.A particle system approach to knitted textiles. Comput Graph1999;
23(4): 599–606.
15.
BreenDHouseDWoznyM.A particle-based model for simulating the draping behavior of woven cloth. Text Res J1994;
64(11): 663–685.
16.
CountsJ.Knitting With Directed Graphs. Master’s Thesis, Massachusetts Institute of Technology, 2018.
17.
QuAJamesDL.Fast linking numbers for topology verification of loopy structures. ACM Trans Graph (Proc SIGGRAPH)2021;
40(4): 106:1–106:19.
18.
SherburnM.Geometric and Mechanical Modelling of Textiles. PhD Thesis, University of Nottingham, 2007.
19.
LinHZengXSherburnM, et al.
Automated geometric modelling of textile structures. Text Res J2012;
82(16): 1689–1702.
20.
KnittelC.Tools to Predict and Understand the Self-Folding Behavior of Knitted Textiles. PhD Thesis, Drexel University, 2019.
21.
KnittelCTanisMStoltzfusA, et al.
Modelling textile structures using bicontinuous surfaces. J Math Arts2020;
14(4): 331–344.
22.
WadekarPGoelPAmanatidesC, et al.
Geometric modeling of knitted fabrics using helicoid scaffolds. J Eng Fibers Fabrics2020;
15: 1–15.
23.
WadekarPKapllaniLAmanatidesC, et al.
Geometric modeling of complex knitting stitches using a bicontinuous surface and its offsets. Comput Aided Geom Des2021;
89: 102024.
24.
KaldorJMJamesDLMarschnerS.Simulating knitted cloth at the yarn level. ACM Trans Graph (Proc SIGGRAPH)2008;
27(3): 65:1–65:9.
25.
KaldorJMJamesDLMarschnerS.Efficient yarn-based cloth with adaptive contact linearization. ACM Trans Graph (Proc SIGGRAPH)2010;
29(4): 105:1–105:10.
26.
YukselCKaldorJMJamesDL, et al.
Stitch meshes for modeling knitted clothing with yarn-level detail. ACM Trans Graph (Proc SIGGRAPH)2012;
31(3): 37:1–37:12.
27.
WuKGaoXFergusonZ, et al.
Stitch meshing. ACM Trans Graph (Proc SIGGRAPH)2018;
37(4): 130:1–130:14.
28.
WuKSwanHYukselC.Knittable stitch meshes. ACM Trans Graph2019;
38(1): 10:1–10:13.
29.
LeafJWuRSchweickartE, et al.
Interactive design of periodic yarn-level cloth patterns. ACM Trans Graph (Proc SIGGRAPH Asia)2018;
37(6): 202:1–202:15.
30.
GuoMLinJNarayananV, et al. Representing crochet with stitch meshes. In Proceedings of the ACM Symposium on Computational Fabrication. New York: ACM Press, pp. 4:1–4:8.
31.
McCannJAlbaughLNarayananV, et al.
A compiler for 3D machine knitting. ACM Trans Graph (Proc SIGGRAPH))2016;
35(4): 49:1–49:11.
32.
NarayananVAlbaughLHodginsJ, et al.
Automatic machine knitting of 3D meshes. ACM Trans Graph (Proc SIGGRAPH)2018;
37(3): 35:1–35:15.
33.
NarayananVWuKYukselC, et al.
Visual knitting machine programming. ACM Trans Graph (Proc SIGGRAPH)2019;
38(4): 63:1–63:13.
34.
HofmannMMankoffJHudsonSE. KnitGIST: A programming synthesis toolkit for generating functional machine-knitting textures. In Proceedings of the ACM Symposium on User Interface Software and Technology. New York: ACM Press, pp. 1234–1247.
35.
JonesBMeiYZhaoH, et al.
Computational design of knit templates. ACM Trans Graph2021;
41(2): 16:1–16:16.
36.
LinJNarayananVMcCannJ. Efficient transfer planning for flat knitting. In Proceedings of the 2nd ACM Symposium on Computational Fabrication. New York: ACM Press, pp. 1:1–1:7.
37.
LinJMcCannJ. An Artin braid group representation of knitting machine state with applications to validation and optimization of fabrication plans. In Proceedings IEEE International Conference on Robotics and Automation, pp. 1147–1153.
38.
PopescuMRippmannMVan MeleT, et al. Automated generation of knit patterns for non-developable surfaces. In Humanizing Digital Reality. Springer, 2018. pp. 271–284.
39.
NaderGQuekYHChiaPZ, et al.
KnitKit: a flexible system for machine knitting of customizable textiles. ACM Trans Graph (Proc SIGGRAPH)2021;
40(4): 64:1–64:16.
40.
LiuZHanXZhangY, et al.
Knitting 4D garments with elasticity controlled for body motion. ACM Trans Graph (Proc SIGGRAPH)2021;
40(4): 62:1–62:16.
41.
KasparAMakaturaLMatusikW. Knitting Skeletons: a computer-aided design tool for shaping and patterning of knitted garments. In Proceedings of the ACM Symposium on User Interface Software and Technology. New York: ACM Press, pp. 53–65.
42.
KasparAWuKLuoY, et al.
Knit sketching: from cut & sew patterns to machine-knit garments. ACM Trans Graph (Proc SIGGRAPH)2021;
40(4): 63:1–63:15.
43.
CirioGLopez-MorenoJOtaduyMA.Yarn-level cloth simulation with sliding persistent contacts. IEEE Trans Visualiz Comput Graph2017;
23(2): 1152–1162.
44.
CasafrancaJJCirioGRodríguezA, et al.
Mixing yarns and triangles in cloth simulation. Comput Graph Forum (Proc Eurograph)2020;
39(2): 101–110.
45.
PizanaJMRodríguezACirioG, et al.
A bending model for nodal discretizations of yarn-level cloth. Comput Graph Forum2020;
39(8): 181–189.
46.
Sánchez-BanderasRMRodríguezABarreiroH, et al.
Robust Eulerian-on-Lagrangian rods. ACM Trans Graph (Proc SIGGRAPH)2020;
39(4): 59:1–59:10.
47.
LiuDChristieDShakibajahromiB, et al.
On the role of material architecture in the mechanical behavior of knitted textiles. Int J Solids Struct2017;
109: 101–111.
48.
LiuDShakibajahromiBDionG, et al.
A computational approach to model interfacial effects on the mechanical behavior of knitted textiles. J Appl Mech2018;
85(4): JAM–17–1584.
49.
LiuDKoricSKontsosA.Parallelized finite element analysis of knitted textile mechanical behavior. J Eng Mater Technol2019;
141(2): MATS–18–1132.
50.
WadekarPPerumalVDionG, et al.
An optimized yarn-level geometric model for finite element analysis of weft-knitted fabrics. Comput Aided Geom Des2020;
80: 101883.
51.
DinhTWeegerOKaijimaS, et al.
Prediction of mechanical properties of knitted fabrics under tensile and shear loading: Mesoscale analysis using representative unit cells and its validation. Composites B Eng2018;
148(9): 81–92.
52.
PoinclouxSMokhtarABLechenaultF.Geometry and elasticity of a knitted fabric. Phys Rev X2018;
8(2): 021075.
SperlGNarainRWojtanC.Homogenized yarn-level cloth. ACM Trans Graph (Proc SIGGRAPH)2020;
39(4): 48:1–48:16.
55.
SperlGSánchez-BanderasRMLiM, et al.
Estimation of yarn-level simulation models for production fabrics. ACM Trans Graph (Proc SIGGRAPH)2022;
41(4): 65:1–65:15.
56.
SpencerDJ.Knitting Technology: A Comprehensive Handbook and Practical Guide.
Oxford:
Pergamon press, 1983.
