Motion identification of planar free-form objects

Mustafa Unel; B. K. Ghosh

Motion identification of planar free-form objects

Mathematics and Statistics

Research output: Contribution to journal › Conference article › peer-review

Abstract

It has been shown recently that rigid or affine dynamics of curves defined by algebraic equations can be represented in terms of Riccati dynamics of possibly complex lines. In this work, we develop new Riccati equations in real variables for closed-bounded curves and new recursions on multiplicative scalars in the decomposition of the curve. A parameter identification scheme has also been proposed, and the results are verified by simulations.

Original language	English
Article number	457-076
Pages (from-to)	154-159
Number of pages	6
Journal	Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC
State	Published - 2005
Event	24th IASTED International Conference on Modeling, Identification, and Control, MIC 2005 - Innsbruck, Austria Duration: Feb 16 2005 → Feb 18 2005

Keywords

Algebraic Curves
Parameter Identification
Riccati Equations
Rigid and Affine Dynamics

Cite this

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title = "Motion identification of planar free-form objects",

abstract = "It has been shown recently that rigid or affine dynamics of curves defined by algebraic equations can be represented in terms of Riccati dynamics of possibly complex lines. In this work, we develop new Riccati equations in real variables for closed-bounded curves and new recursions on multiplicative scalars in the decomposition of the curve. A parameter identification scheme has also been proposed, and the results are verified by simulations.",

keywords = "Algebraic Curves, Parameter Identification, Riccati Equations, Rigid and Affine Dynamics",

author = "Mustafa Unel and Ghosh, {B. K.}",

year = "2005",

language = "English",

pages = "154--159",

journal = "Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC",

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TY - JOUR

T1 - Motion identification of planar free-form objects

AU - Unel, Mustafa

AU - Ghosh, B. K.

PY - 2005

Y1 - 2005

N2 - It has been shown recently that rigid or affine dynamics of curves defined by algebraic equations can be represented in terms of Riccati dynamics of possibly complex lines. In this work, we develop new Riccati equations in real variables for closed-bounded curves and new recursions on multiplicative scalars in the decomposition of the curve. A parameter identification scheme has also been proposed, and the results are verified by simulations.

AB - It has been shown recently that rigid or affine dynamics of curves defined by algebraic equations can be represented in terms of Riccati dynamics of possibly complex lines. In this work, we develop new Riccati equations in real variables for closed-bounded curves and new recursions on multiplicative scalars in the decomposition of the curve. A parameter identification scheme has also been proposed, and the results are verified by simulations.

KW - Algebraic Curves

KW - Parameter Identification

KW - Riccati Equations

KW - Rigid and Affine Dynamics

UR - http://www.scopus.com/inward/record.url?scp=27944446032&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:27944446032

SN - 1025-8973

SP - 154

EP - 159

JO - Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC

JF - Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC

M1 - 457-076

T2 - 24th IASTED International Conference on Modeling, Identification, and Control, MIC 2005

Y2 - 16 February 2005 through 18 February 2005

ER -

Motion identification of planar free-form objects

Abstract

Keywords

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