Publication

Configuration space of a textile rectangle

Book Chapter (2020)

Book Title

Geometry of Varieties and Applications

Publisher

Springer-Birkhäuser

Pages

Volume

12

Serie

Research Perspectives CRM Barcelona - Trends in Mathematics

File

Download the digital copy of the doc pdf document

Abstract

Given a rectangular piece of cloth on a planar surface, we aim to characterise its states based on the robot manipulations they would require. Considering the cloth as a set of n points in R2, we study its configuration space, Confn(R2). We derive a stratification of Conf4(R2) using that of Flag(3), and we present some techniques that can be used to determine the adjacencies of Confn(R2) and some group actions we can define on it.

Categories

automation.

Scientific reference

F. Strazzeri and C. Torras. Configuration space of a textile rectangle. In Geometry of Varieties and Applications, . Springer-Birkhäuser, 2020.