23 June 1993 Fast least-squares orthogonal spline fitting and its applications to shape analysis
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Abstract
A recursive algorithm for building an orthogonal basis for n-degree spline space is developed. The basis functions, dubbed `O-splines,' can be computed symbolically for an arbitrary number of knots, preserving infinite precision in their rational coefficients. Using the O-spline basis, fitting can be accomplished via a single inner product for each O-spline. Furthermore, the fitting procedure is better conditioned when compared to conventional methods. Shape description of real images is shown as an application of this new technique.
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Eduardo Javier Rodriguez, Eduardo Javier Rodriguez, Debora C. Vargas, Debora C. Vargas, Myron D. Flickner, Myron D. Flickner, Jorge L. C. Sanz, Jorge L. C. Sanz, } "Fast least-squares orthogonal spline fitting and its applications to shape analysis", Proc. SPIE 2031, Geometric Methods in Computer Vision II, (23 June 1993); doi: 10.1117/12.146639; https://doi.org/10.1117/12.146639
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