Curves and Surfaces for CAGD, 5th Edition

3

Linear Interpolation

Most of the computations that we use in CAGD may be broken down into seemingly trivial steps—sequences of linear interpolations. It is therefore important to understand the properties of these basic building blocks. This chapter explores those properties and introduces a related concept, called blossoms.

3.1 Linear Interpolation

Let a, b be two distinct points in . The set of all points of the form

(3.1)

is called the straight ...