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.
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Notes
- 1.
Read iff as “if and only if”; acronym proposed by the mathematician P.R. Halmos (1916–2006).
- 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.
Physicists or electric engineers use j rather than i, in order to distinguish from the intensity i in electricity.
- 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
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