For decades, researchers have been developing algorithms to manipulate and analyze images. From this, a common set of image tools now appear in many high-level programming languages. Consequently, the amount of coding required by a user has significantly lessened over the years. While the libraries for image analysis are coalescing to a common toolkit, the language of image analysis has remained stagnant. Often, textual descriptions of an analytical protocol consume far more real estate than does the computer code required to execute the processes. Furthermore, the textual explanations are sometimes vague or incomplete. This book offers a precise mathematical language for the field of image processing. Defined operators correspond directly to standard library routines, greatly facilitating the translation between mathematical descriptions and computer script. This text is presented with Python 3 examples.

  • This text will provide a unified language for image processing
  • Provides the theoretical foundations with accompanied Python® scripts to precisely describe steps in image processing applications
  • Linkage between scripts and theory through operators will be presented
  • All chapters will contain theories, operator equivalents, examples, Python® codes, and exercises

part Part I|2 pages

Image Operators

chapter 1|4 pages


chapter 2|14 pages

Operator Nomenclature

chapter 3|38 pages

Scripting in Python

chapter 4|12 pages

Digital Images

chapter 5|12 pages


part Part II|2 pages

Image Space Manipulations

chapter 6|20 pages

Geometric Transformations

chapter 7|10 pages

Image Morphing

chapter 8|16 pages

Principle Component Analysis

chapter 9|7 pages


part Part III|2 pages

Frequency Space Manipulations

chapter 10|16 pages

Image Frequencies

chapter 11|12 pages

Filtering in Frequency Space

chapter 12|22 pages


part IV|2 pages

Texture and Shape

chapter 13|10 pages

Edge Detection

chapter 14|10 pages

Hough Transforms

chapter 15|12 pages


chapter 16|22 pages

Texture Recognition

chapter 17|8 pages

Gabor Filtering

chapter 18|22 pages

Describing Shape

part V|2 pages


chapter 19|18 pages

Basis Sets

chapter 20|10 pages

Pulse Images and Autowaves