Chapter3 **Interpolation** **Interpolation** is the process ofdeflninga function that takes onspecifled values at specifledpoints. This chapter concentrates on two closely related interpolants: the piecewise cubic spline and the shape-preserving piecewise cubic named\pchip."

3 Linear **Interpolation** of 2D Points •**Interpolate** between p1, p2. •Intermediate points are weighted averages. •p = (1-t)*p1 + t*p2 for 0 < t < 1.-p goes from p1 to p2 as t goes from 0 to 1. •p = p1 + t(p2-p1), ie. equation for a line, restricted to 0 < t < 1.

**Interpolation** Polynomial **Interpolation** Piecewise Polynomial **Interpolation** Motivation Choosing Interpolant Existence and Uniqueness Purposes for **Interpolation** Plotting smooth curve through discrete data points Reading between lines of table Differentiating or integrating tabular data Quick and ...

cps150, fall 2001 **Interpolation** & Approximation **Interpolation**, Approximation and Their Applications PART I : **Interpolation** We consider the following two basic cases for **interpolation** in

Figure 4-3: The Functions dialog box, editing an **interpolation** function. For functions of one variable, you can select between the following **interpolation** methods: Nearest neighbor Linear Piecewise cubic Cubic spline For functions of more than one variable COMSOL Multiphysics only supports the ...

Linear **interpolation** example Today's date is December 5, 2005. A bank needs to determine a Libor rate with a maturity of January 19, 2006, which is approximately 1½ months from today.

1 ENV 4970 NAME _____ GIS Lab Exercise: **Interpolation** Download the Arc data files On the course webpage, download the data the **interpolation** lab.

172 Appendix 2: **Interpolation** **Interpolating** to Find a Value Between Two Known Values One of the most common computational tricks in meteorology—and in science in general, for that matter—is **interpolation**.

**Interpolation** in Your DSO Peter J. Pupalaikis, Product Marketing Manager WaveMaster Oscilloscopes LeCroy Corporation Introduction **Interpolation** is an important feature in today's digital oscilloscopes.

Mathematical Techniques for Image **Interpolation** Todd Wittman Department of Mathematics University of Minnesota Submitted for completion of the Mathematics Department oral exam.