
The digital grass in the exhibition "XYZT, abstract landscapes"

"What is an image?" The answer to this seemingly straightforward question is far from obvious.



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Three-dimensional digital works, such as video games and animated films, unsurprisingly rely on mathematics to immerse us in their worlds. Angles, linear algebra, vectors and matrices play a particularly important role.

When we speak of an "image," we need to know what kind of object we are dealing with: how is the image represented, what do we want to do with it, and what medium is it intended for? Mathematics lies at the heart of these questions. Here is a brief overview of the basic concepts involved.

Two postulates in Euclid's Elements embody the ideal conception of the straightedge and compass inherited from Plato's realm of Ideas. The Alexandrian scholar built much of plane geometry—and the constructions he bequeathed to us—on these two postulates.

We live surrounded by color images. But what exactly are these colors? How are they defined, broken down, or reconstructed? Different representations are used in different contexts, the best known being RGB and CMYK.
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