Hughes/Computer Graphics, 3/E

Chapter 18. Images and Signal Processing

18.1. Introduction

This chapter introduces the mathematics needed to understand what happens when we perform various operations on images like scaling, rotating, blurring, sharpening, etc., and how to avoid certain unpleasant artifacts when we do these operations. It’s a long chapter with lots of mathematics; we’ve done our best to keep it to a minimum without telling any lies. We begin with a very concise summary of the chapter, and gradually expand on the themes presented there.

The entire chapter can be regarded as an application of the Coordinate-System/Basis principle: Always use a basis that is well suited to your work. In this case, the objects we’re working with are not geometric shapes, as in ...