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R2011b Documentation → Curve Fitting Toolbox
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Contents

Index

• Getting Started

• User's Guide

• Interactive Fitting

• Programmatic Curve and Surface Fitting

• Linear and Nonlinear Regression

• Custom Linear and Nonlinear Regression

• Interpolation and Smoothing

• Fit Postprocessing

• Spline Fitting

• About Splines

• Simple Spline Examples

• Types of Splines

• Advanced Spline Examples

• Least-Squares Approximation by Natural Cubic Splines

General Resolution

Need for a Basis Map

A Basis Map for "Natural" Cubic Splines

The One-line Solution

The Need for Proper Extrapolation

The Correct One-Line Solution

Least-Squares Approximation by Cubic Splines

• Solving A Nonlinear ODE

Approximation Space

Numerical Problem

Linear System to Be Solved

• Construction of the Chebyshev Spline

What Is a Chebyshev Spline?

Choice of Spline Space

Remez Iteration

• Approximation by Tensor Product Splines

Choice of Sites and Knots

Least Squares Approximation as Function of y

Approximation to Coefficients as Functions of x

The Bivariate Approximation

Switch in Order

Approximation to Coefficients as Functions of y

The Bivariate Approximation

Comparison and Extension

• Splines Glossary

• Release Notes

Advanced Spline Examples

Constructing and Working with stform Splines

Constructing and Working with stform Splines

Least-Squares Approximation by Natural Cubic Splines

Least-Squares Approximation by Natural Cubic Splines

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