23 June 1993 Fast least-squares orthogonal spline fitting and its applications to shape analysis
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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.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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