The pwpfit Toolbox for Polynomial and Piece-wise Polynomial Data Fitting

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The pwpfit Toolbox for Polynomial and Piece-wise Polynomial Data Fitting

机译：pwpfit工具箱，用于多项式和分段多项式数据拟合

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Several techniques have been proposed for piece-wise regression as extension to standard polynomial data fitting, either selecting the joints a priori or adding computational load for optimal joints. The pwpfit1toolbox provides piece-wise polynomial fitting without pre-selection of joints using linear-least square (LSQ) optimization only. Additional constraints are realised as constraint matrices for the LSQ problem. We give an application example for the multi-variable aerodynamic coefficients of the general transport model in pre-stall and post-stall.

机译：已经提出了几种用于分段回归的技术，作为对标准多项式数据拟合的扩展，可以先验选择关节，也可以为最佳关节添加计算负荷。 pwpfit1toolbox仅通过线性最小二乘（LSQ）优化即可提供分段多项式拟合，而无需预先选择关节。附加约束被实现为LSQ问题的约束矩阵。我们给出了失速前和失速后一般运输模型的多变量空气动力学系数的应用示例。

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《IFAC PapersOnLine》 |2018年第15期|共6页
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Torbj?rn Cunis;
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中图分类自动化技术、计算机技术;
关键词
Grey Box ModelingToolboxesMechanicalAerospaceMultivariable System IdentifcationNonlinear System IdentifcationHybrid System Identifcation;

机译：灰箱建模工具箱机械航空航天多变量系统识别非线性系统识别混合系统识别;

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1. Fast Piecewise Polynomial Fitting of Time-Series Data for Streaming Computing [J] . Gao Jianhua, Ji Weixing, Zhang Lulu, Quality Control, Transactions . 2020,第期

机译：用于流媒体计算的时间序列数据的快速分段多项式拟合
2. Airborne electromagnetic data levelling based on inequality-constrained polynomial fitting [J] . Zhu Kaiguang, Zhang Qiong, Peng Cong, Exploration Geophysics . 2020,第5期

机译：基于不等式约束多项式配件的空中电磁数据调平
3. Comparative evaluation of the polynomial and spline fitting methods for the B0 correction of CEST MRI data acquired from human brains [J] . Yoo Chang Hyun, Oh Janghoon, Park Soonchan, International journal of imaging systems and technology . 2019,第3期

机译：多项式和样条拟合方法对人脑CEST MRI数据进行B0校正的比较评估
4. The pwpfit Toolbox for Polynomial and Piece-wise Polynomial Data Fitting [C] . Torbjorn Cunis IFAC Symposium on System Identification . 2018

机译：用于多项式和典型多项式数据配件的PWPFIT工具箱
5. Robust and repeatable fitting of implicit polynomial curves to point data sets and to intensity images. [D] . Tasdizen, Tolga. 2001

机译：隐式多项式曲线对点数据集和强度图像的鲁棒且可重复的拟合。
6. Fitting the Fractional Polynomial Model to Non-Gaussian Longitudinal Data [O] . Ji Hoon Ryoo, Jeffrey D. Long, Greg W. Welch, -1

机译：将分数多项式模型拟合到非高斯纵向数据
7. The pwpfit Toolbox for Polynomial and Piece-wise Polynomial Data Fitting [O] . Torbjørn Cunis 2018

机译：用于多项式和典型多项式数据配件的PWPFIT工具箱
8. Fortran II Subroutine for Least-Squares Polynomial Fitting by Orthogonal Polynomials [R] . Rank, P. H. 1965

机译：用正交多项式求最小二乘多项式拟合的Fortran II子程序

The pwpfit Toolbox for Polynomial and Piece-wise Polynomial Data Fitting

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