Mathematical imaging
In this section, we will cover mathematical imaging using some examples.
How to do it…
First, we need to consider the following points:
- Mathematical imaging is a very broad field that is concerned with the treatment of images by representing them as mathematical objects. Depending on the goals, we have four subfields, image acquisition, image compression, image editing, and image analysis.
- Image acquisition: The concern here is the effective representation of an object as an image. Clear examples are the digitalization of a photograph (that could be coded as a set of numerical arrays), or super-imposed information of the highest daily temperatures on a map (that could be coded as a discretization of a multivariate function). The processes of acquisition differ depending on what needs to be measured and the hardware that performs the measures. This topic is beyond the scope of this book but, if you are interested, some previous background can be obtained by studying the Python...