Numerical Optimization of Polygon Tessellation for Generating Machine-producible Crochet Patterns
The automation of current crocheting technology offers many possibilities. To fully exploit this potential, it is necessary to develop not only hardware, but also methods that enable the design of novel machine-crocheted fabrics. In the case of manual crocheting, approaches for an automated generat...
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University of Ljubljana Press (Založba Univerze v Ljubljani)
2023-10-01
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| Series: | Tekstilec |
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| Online Access: | https://journals.uni-lj.si/tekstilec/article/view/15468 |
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| author | Jan Lukas Storck Bjarte Alexander Feldmann Johannes Fiedler Yordan Kyosev |
| author_facet | Jan Lukas Storck Bjarte Alexander Feldmann Johannes Fiedler Yordan Kyosev |
| author_sort | Jan Lukas Storck |
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The automation of current crocheting technology offers many possibilities. To fully exploit this potential, it is necessary to develop not only hardware, but also methods that enable the design of novel machine-crocheted fabrics. In the case of manual crocheting, approaches for an automated generation of crochet patterns according to 3D shapes have already been presented in the literature. However, the most technically advanced crocheting machine prototype currently proposed automates the crocheting of flat fabrics starting from a chain row. Given the limitations and operation of this so-called CroMat crocheting machine, a tool for shaping flat machine-crocheted fabrics according to 2D convex polygons is presented here. With this, surfaces can be divided into crochet stitches using a tessellation process and numerical optimization. The rules of the automated crocheting process were thus followed to ensure the machine manufacturability of generated patterns. Computer models of the fabrics were used as previews. In addition, the shaping possibilities of the CroMat crocheting machine, in particular with respect to increase and decrease stitches, are presented and discussed by means of the tessellation optimization of exemplary polygon shapes. Generally speaking, the algorithm extends the toolbox for designing machine-crocheted fabrics through the automated generation of valid crochet patterns corresponding to input shapes and according to the possibilities of the CroMat crocheting machine prototype.
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| format | Article |
| id | doaj-art-c80f4f39d1ad4c9bbb6dac05261b73eb |
| institution | Kabale University |
| issn | 0351-3386 2350-3696 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | University of Ljubljana Press (Založba Univerze v Ljubljani) |
| record_format | Article |
| series | Tekstilec |
| spelling | doaj-art-c80f4f39d1ad4c9bbb6dac05261b73eb2025-08-20T03:50:31ZengUniversity of Ljubljana Press (Založba Univerze v Ljubljani)Tekstilec0351-33862350-36962023-10-016610.14502/tekstilec.66.202306221861Numerical Optimization of Polygon Tessellation for Generating Machine-producible Crochet PatternsJan Lukas Storck0https://orcid.org/0000-0002-6841-8791Bjarte Alexander Feldmann1https://orcid.org/0009-0008-3117-9783Johannes Fiedler2Yordan Kyosev3https://orcid.org/0000-0003-3376-1423Hochschule Bielefeld – University of Applied Sciences and Arts, Bielefeld, Faculty of Engineering and Mathematics, GermanyHochschule Bielefeld – University of Applied Sciences and Arts, Bielefeld, Faculty of Engineering and Mathematics, GermanyHochschule Bielefeld – University of Applied Sciences and Arts, Bielefeld, Faculty of Engineering and Mathematics, GermanyTechnische Universität Dresden, Faculty of Mechanical Science and Engineering, Institute of Textile Machinery and High Performance Material Technology, Dresden, Germany The automation of current crocheting technology offers many possibilities. To fully exploit this potential, it is necessary to develop not only hardware, but also methods that enable the design of novel machine-crocheted fabrics. In the case of manual crocheting, approaches for an automated generation of crochet patterns according to 3D shapes have already been presented in the literature. However, the most technically advanced crocheting machine prototype currently proposed automates the crocheting of flat fabrics starting from a chain row. Given the limitations and operation of this so-called CroMat crocheting machine, a tool for shaping flat machine-crocheted fabrics according to 2D convex polygons is presented here. With this, surfaces can be divided into crochet stitches using a tessellation process and numerical optimization. The rules of the automated crocheting process were thus followed to ensure the machine manufacturability of generated patterns. Computer models of the fabrics were used as previews. In addition, the shaping possibilities of the CroMat crocheting machine, in particular with respect to increase and decrease stitches, are presented and discussed by means of the tessellation optimization of exemplary polygon shapes. Generally speaking, the algorithm extends the toolbox for designing machine-crocheted fabrics through the automated generation of valid crochet patterns corresponding to input shapes and according to the possibilities of the CroMat crocheting machine prototype. https://journals.uni-lj.si/tekstilec/article/view/15468crochetdesigntessellationcrocheting machinenumerical optimization |
| spellingShingle | Jan Lukas Storck Bjarte Alexander Feldmann Johannes Fiedler Yordan Kyosev Numerical Optimization of Polygon Tessellation for Generating Machine-producible Crochet Patterns Tekstilec crochet design tessellation crocheting machine numerical optimization |
| title | Numerical Optimization of Polygon Tessellation for Generating Machine-producible Crochet Patterns |
| title_full | Numerical Optimization of Polygon Tessellation for Generating Machine-producible Crochet Patterns |
| title_fullStr | Numerical Optimization of Polygon Tessellation for Generating Machine-producible Crochet Patterns |
| title_full_unstemmed | Numerical Optimization of Polygon Tessellation for Generating Machine-producible Crochet Patterns |
| title_short | Numerical Optimization of Polygon Tessellation for Generating Machine-producible Crochet Patterns |
| title_sort | numerical optimization of polygon tessellation for generating machine producible crochet patterns |
| topic | crochet design tessellation crocheting machine numerical optimization |
| url | https://journals.uni-lj.si/tekstilec/article/view/15468 |
| work_keys_str_mv | AT janlukasstorck numericaloptimizationofpolygontessellationforgeneratingmachineproduciblecrochetpatterns AT bjartealexanderfeldmann numericaloptimizationofpolygontessellationforgeneratingmachineproduciblecrochetpatterns AT johannesfiedler numericaloptimizationofpolygontessellationforgeneratingmachineproduciblecrochetpatterns AT yordankyosev numericaloptimizationofpolygontessellationforgeneratingmachineproduciblecrochetpatterns |