# Image Data

• Chapter
• 9484 Accesses

Part of the Undergraduate Topics in Computer Science book series (UTICS)

## Abstract

This chapter introduces basic notation and mathematical concepts for describing an image in a regular grid in the spatial domain or in the frequency domain. It also details ways for specifying colour and introduces colour images.

### Keywords

• Grey Level
• Spatial Domain
• Discrete Fourier Transform
• Pixel Location
• Colour Representation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Chapter
USD   29.95
Price excludes VAT (USA)
• DOI: 10.1007/978-1-4471-6320-6_1
• Chapter length: 42 pages
• Readable on all devices
• Own it forever
• Exclusive offer for individuals only
• Tax calculation will be finalised during checkout
eBook
USD   44.99
Price excludes VAT (USA)
• ISBN: 978-1-4471-6320-6
• Readable on all devices
• Own it forever
• Exclusive offer for individuals only
• Tax calculation will be finalised during checkout
Softcover Book
USD   59.99
Price excludes VAT (USA)

## Notes

1. 1.

Read iff as “if and only if”; acronym proposed by the mathematician P.R. Halmos (1916–2006).

2. 2.

To be precise, a function I satisfies the second-order differentiability condition iff $$( {\frac{{\partial^{2} I}}{{\partial x\partial y}}} ) = ( {\frac{{\partial^{2} I}}{ {\partial y\partial x}}} )$$. We simply assumed in (1.20) that I satisfies this condition.

3. 3.

Physicists or electric engineers use j rather than i, in order to distinguish from the intensity i in electricity.

4. 4.

The function atan2 is the arctangent function with two arguments that returns the angle in the range [0,2π) by taking the signs of the arguments into account.

Authors

## Rights and permissions

Reprints and Permissions

© 2014 Springer-Verlag London

### Cite this chapter

Klette, R. (2014). Image Data. In: Concise Computer Vision. Undergraduate Topics in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-6320-6_1

• DOI: https://doi.org/10.1007/978-1-4471-6320-6_1

• Publisher Name: Springer, London

• Print ISBN: 978-1-4471-6319-0

• Online ISBN: 978-1-4471-6320-6

• eBook Packages: Computer ScienceComputer Science (R0)