Incremental matrix orthogonalization with an application to curve fitting

Matthew Harker; Paul O'Leary; Paul Zsombor-Murray

doi:10.1117/12.586499

11 March 2005 Incremental matrix orthogonalization with an application to curve fitting

Matthew Harker, Paul O'Leary, Paul Zsombor-Murray

Proceedings Volume 5674, Computational Imaging III; (2005) https://doi.org/10.1117/12.586499
Event: Electronic Imaging 2005, 2005, San Jose, California, United States

Abstract

A new method for fitting implicit curves to scattered data is proposed. The method is based on orthogonal matrix projections and singular value decomposition. The incremental aspect of the algorithm deals with each order of data individually in an incrementing manner, whereby a matrix approximation procedure is applied at each level. This determines the fit quality at each step, and hence provides co-linearity detection of each polynomial order. The best implicit polynomial fit of minimal order is provided, which essentially combines object identification and classification with object fitting.

Citation Download Citation

Matthew Harker, Paul O'Leary, and Paul Zsombor-Murray "Incremental matrix orthogonalization with an application to curve fitting", Proc. SPIE 5674, Computational Imaging III, (11 March 2005); https://doi.org/10.1117/12.586499

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