Feature extraction of the patterned textile with deformations via optimal control theory

Zhi Guo Feng, Ka Fai Cedric Yiu, Kai Ling Mak

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

In handling textile materials, deformation is very common and is unavoidable. When the fabrics are dispatched for further feature extractions, it's necessary to recover the original shape for comparison with a standard template. This recovery problem is investigated in this paper. By introducing a set of recovered functions, the problem is formulated as a combined optimal control and optimal parameter selection problem, governed by the dynamical system of a set of two-dimensional control functions. After parameterization of the control functions, the problem is transformed into a nonlinear optimization problem, where gradient based optimization methods can be applied. We also analyze the convergence of the parameterization method. Several numerical examples are used to demonstrate the method.
Original languageEnglish
Pages (from-to)1055-1069
Number of pages15
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume16
Issue number4
DOIs
Publication statusPublished - 1 Nov 2011

Keywords

  • Deformation
  • Textile
  • Two-dimensional control function

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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