Algebraic Curve Fitting Support Vector Machines

Walder, Christian, Lovell, Brian C. and Kootsookos, Peter J. (2003). Algebraic Curve Fitting Support Vector Machines. In: C. Sun, H. Talbot, S. Ourselin and T. Adriaansen, Digital Image Computing: Techniques and Applications. Digital Image Computing Techniques and Applications 2003, Sydney, (693-702). December, 2003.

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Author Walder, Christian
Lovell, Brian C.
Kootsookos, Peter J.
Title of paper Algebraic Curve Fitting Support Vector Machines
Conference Paper Type Fully Published Paper
Conference name Digital Image Computing Techniques and Applications 2003    (ERA 2010 Rank B)
Conference location Sydney
Conference dates December, 2003
Proceedings title Digital Image Computing: Techniques and Applications
Editor C. Sun
H. Talbot
S. Ourselin
T. Adriaansen
Place published Sydney
Publisher CSIRO
Publication date 2003
Volume number 2
ISBN 1-74107-043-0
Start page 693
End page 702
Total pages 10
Language eng
Abstract/Summary An algebraic curve is defined as the zero set of a multivariate polynomial. We consider the problem of fitting an algebraic curve to a set of vectors given an additional set of vectors labelled as interior or exterior to the curve. The problem of fitting a linear curve in this way is shown to lend itself to a support vector representation, allowing non-linear curves and high dimensional surfaces to be estimated using kernel functions. The approach is attractive due to the stability of solutions obtained, the range of functional forms made ossible (including polynomials), and the potential for applying well understood regularisation operators from the theory of Support Vector Machines.
Subjects 280207 Pattern Recognition
Keyword iris-research
vectors
linear curve
algebraic curve
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status Unknown

 
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Created: Fri, 19 Mar 2004, 10:00:00 EST by Peter Kootsookos on behalf of School of Information Technol and Elec Engineering