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
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.
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