Mathematical Considerations on Weft Knitting Process

Process Control for Total Quality in Circular Knitting

This paper deals with a problem of major concern to the knitting industry, which is fabric defects. When a defect occurs, the knitting machine has to be stopped and the fault corrected, thus resulting in time loss which is uneconomic. Eventually, the knitted fabric may be rejected if quality requirements are not met. An effective monitoring of the knitting process is required in order to avoid ...

Quantum Knitting

We analyze the connections between the mathematical theory of knots and quantum physics by addressing a number of algorithmic questions related to both knots and braid groups. Knots can be distinguished by means of ‘knot invariants’, among which the Jones polynomial plays a prominent role, since it can be associated with observables in topological quantum field theory. Although the problem of c...

Constructive Knitting for Children

Knitting a 3D Model

A knitted animal is made of a closed surface consisting of several knitted patches knitted out of yarn and stuffed with cotton (Fig. 1). We introduce a system to create a knitting pattern from a given 3D surface model (mainly designed for rotund animal models). A knitting pattern is an instructional diagram describing how to knit yarn to obtain a desired shape. Since the creation of knitting pa...

T Some Considerations Regarding Mathematical Semiosis

The discussion on the possibility of machines to achieve semiosis (meaning process) is a very controversial debate within Artificial Intelligence and Cognitive Science. In this work, we define meaning process in an entirely mathematical framework. We call the “transposition” of the Peircean theory to an abstract mathematical model as “Mathematical Semiosis”. By doing this, we aim at growing a m...