An Artin Braid Group Representation of Knitting Machine State with Applications to Validation and Optimization of Fabrication Plans
Jenny Lin James McCann Jenny Lin James McCann
Industrial knitting machines create fabric by manipulating loops held on hundreds of needles. A core problem in pattern making for these machines is transfer planning – coming up with a sequence of low-level operations that move loops to the appropriate needles so that knitting through those loops produces the correct final structure. Since each loop is connected to the larger piece in progress, t...