Chapter 29: Interpolation

Introduction

Often you know something about a function, such as its values at certain points or on certain intervals,and want to know its values elsewhere.

The problem of estimating values from partial information is usually called that of interpolation.

Topics

29.1 Problems and General Approach

29.2 Pedestrian Approach to Solutions

29.3 Solutions

        29.3.1 Solution to Second Problem: Polynomial passing through k points

        29.3.2 Solution to First Problem: filling a gap between two curves smoothly

29.4 Interpolator

29.5 Least Squares Polynomial Fit to Data

        29.5.1 Introduction

        29.5.2 Discussion

        29.5.3 The Equations

        29.5.4 Solution for k = 1