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Image Data

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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.

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

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© 2014 Springer-Verlag London

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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

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  • 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)