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

Zhi Feng | Zendy; Ka Fai Cedric Yiu | Zendy; K.L. Mak | Zendy

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

Author(s) -

Zhi Feng,

Ka Fai Cedric Yiu,

K.L. Mak

Publication year - 2011

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2011.16.1055

Subject(s) - mathematical optimization , set (abstract data type) , nonlinear system , selection (genetic algorithm) , textile , computer science , optimization problem , optimal control , constrained optimization problem , mathematics , algorithm , artificial intelligence , materials science , physics , quantum mechanics , programming language , composite material

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.link_to_subscribed_fulltex

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