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Image Compression Using Polynomial Fitting
2019 3rd International conference on Electronics, Communication and Aerospace Technology (ICECA), 2019A new efficient method to compress images using polynomial curve fitting approximation techniques is presented in this paper. The polynomial curve fitting represents many pixels by a smaller number of polynomial coefficients. The presented method is based on two distinct scanning techniques of the image under compression.
Shaimaa M. Othman +3 more
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Fitting Density Functions with Polynomials
Applied Statistics, 1992Summary: A robust procedure is developed for estimating density functions from data. It requires the existence of a parametric function, called the key function, to give a first approximation to the density and then improves the fit using polynomial adjustments.
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Polynomial Curve Fitting with Constraint
SIAM Review, 1962The polynomial of degree \(n\) is written \(f_n = g_{k-1} + p_k h_{n-k}\) where \(g\) passes through the \(k\) absolute points \((a,b)\), \(p\) is \(\prod(x - a)\), and \(h\) is to satisfy a least-squares condition. \(g\) is determined by applying the algorithm of \textit{G. E. Forsythe} [J. Soc. Ind. Appl. Math.
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Quadtree-based polynomial polygon fitting
2013 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2013In this paper, we present a novel method for surface reconstruction with a low execution time for segmenting and representing scattered scenes accurately. The surfaces are described in a memory-efficient fashion as polynomial functions and polygons. Segmentation and parameter determination is done in one pass by using a quadtree on ordered point clouds,
Hampp, Joshua, Bormann, Richard
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Adaptive Constructive Polynomial Fitting
2010To extract geometric primitives from edges, we use an incremental linear-time fitting algorithm, which is based on constructive polynomial fitting. In this work, we propose to determine the polynomial order by observing the regularity and the increase of the fitting cost.
Francis Deboeverie +3 more
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Polyfit — A package for polynomial fitting
Computer Physics Communications, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomial curve fitting by substitution
Proceedings of the 8th FPGAWorld Conference, 2011We propose an approach of polynomial curve fitting computation based on least-squares method. Our method enables to compute polynomial coefficients using only one matrix multiplication operation. In order to do this number of fitted points and order of the polynomial should be fixed and interval between points on the x axis should be equal.
Maksim Gorev +2 more
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Weighted fit by orthonormal polynomials
Computer Physics Communications, 1981Abstract The fitting technique by orthonormal polynomials and Forsythe's recurrence relationship, generalized in order to take into account experimental errors, are discussed. Comparison is made between orthonormal and standard fits to point out the improvements on the latter, mainly from a computational point of view.
ROSATO, ELIO +4 more
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Discrete least squares polynomial fits
Communications of the ACM, 1975The recurrence relation between orthogonal polynomials is widely used for discrete least squares data fitting. A variant of the classical algorithm which has better numerical properties is presented and the reason for its improved performance is explained.
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Interpolation and Polynomial Curve Fitting
The Mathematics Teacher, 2014Two methods for precalculus students to find exact-fit polynomials.
Yajun Yang, Sheldon P. Gordon
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